Answers
The angles in the intersected lines are as follows:
a = 80 degreesb = 80 degreesx = 92 degreesHow to find angles when lines intersect?When lines intersect angle relationships are formed such as vertically opposite angles, linear angles etc.
Angle a is vertically opposite to angle b.
Vertically opposite angles are congruent.
Therefore,
∠a ≅ ∠b
Hence,
x + 8 = 100(vertically opposite angles)
x = 100 - 8
x = 92
b + x + 8 = 180(sum of angles on a straight line)
b + 92 + 8 = 180
b = 180 - 100
b = 80 degrees.
Hence,
a = 80 degrees
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Related Questions
recursively define the set of binary strings with more 0s than 1s.
Answers
0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.
What do binary strings mean?A series of bytes make up a binary string. A binary string is used to store non-traditional data, including images, as opposed to a character string, which typically holds text data. The quantity of bytes in a binary string determines its length. The CCSID for a binary string is 65535.Binary refers to this system of 1s and 0s. Because of the way they are made, computers only speak in binary. A computer is nothing more than a sizable number of switches. On those curiously engraved boards inside the computer, there are millions of microscopic electronic switches.If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y. A procedure P is defined recursively if its action, P(x), is defined in terms of another action, P(y), where x>y.Explanation:
0>1.
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In the figure below, points D, B, E, F, and lie in plane X.
Points A and C do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
Answers
The blanks are filled as below
(b) G and E are distinct points that are collinear.(c) F, D, B, and G are distinct points that are coplanar.(d) Suppose line AD is drawn on the figure. Then AD and AC are distinct lines that intersect.What are collinear points?Collinear points are those that are situated along a single straight line.
Collinear points are those that are on a line either close to or far from another point, it can be more than two points.
While coplanar points imply lying on the same plane
In the diagram,
E, F, and G are collinear points
D, B, E, F, and G are coplanar points
A, B, and C are another collinear points
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2 websites sell the same type of headphone cost of headphone in website A is 49.95 and the postage is 4.39. The headphones in website B is 47.68 and the postage is 6.95. Including the postage which website is cheaper and by how much
Answers
Answer:
Website A is cheaper by 29 cents
Step-by-step explanation:
A
49.95 + 4.39 = 54.34
B
47.68 + 6.95 = 54.63
54.63 - 54.34 = 0.29
Answer:
the difference is 0.29 cents
website A is cheaper
Step-by-step explanation:
(47.68 + 6.95) - (49.95 + 4.39)
54.63 - 54.34 = 0.29
Convert 460000 milligrams into pounds. Round your answer to the nearest hundredth.
Answers
Answer:
460000 milligrams converted to pounds would be 1.01 pounds.
Step-by-step explanation:
REASONING 11. Can the value of o*g_{2}(- 4) * befounc ? What about the value of log ? Why or why not ? What does this tell you about the domain of log ?
Answers
-4 = 2x ( if logbA = B , then A = bB)
Now take the value of x whatever you want and you are neither going to obtain a negative number nor zero.
So negative number and zero can't be the domain of logarithmic function.
Now it is clear that why log2(0) can't be obtained because exponential function is always positive.
So
Domain of logb(x) is positive real numbers or
x > 0 .
pls help right now I need help
giving brainliest
this is reading btw
Answers
Answer:
The answer is A
Step-by-step explanation: I'm so smart
the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?
Answers
Answer:
Step-by-step explanation:
4,505 tickets were sold 219 times.
4,505 x 219
The answer is 986,595
A shopping mall has 226 stores on 4 levels. Each level of the mall has about the same number of stores. Which of the following are reasonable estimates for the number of stores on each level
Answers
The number of stores in each level of the shopping mall are 56 stores.
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Let x represent the number of stores on each level.
A shopping mall has 226 stores on 4 levels. If there are same number of stores in each level:
(4 × x) = 226
4x = 226
Divide
x = 226 / 4
x = 56.5
There are about 56 stores per level.
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A cylindrical rod of steel (e = 207 gpa) having a yield strength of 310 mpa is to be subjected to a load of 11,100 n. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0. 38 mm?.
Answers
the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm
Given the data in the question;
F = 11100 N
l₀ = 310 mm = 0.31 m
E = 207 GPa = 207 × 10⁹ N/m²
Δl = 0.38 mm = 0.0005 m
So, lets assume the deformation is elastic;
d₀ = √( [4l₀F] / [πEΔl] )
we substitute
d₀ = √( [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )
d₀ = √( 10123.2 / 172787595.947 )
d₀ = √( 5.85875 × 10⁻⁵ )
d₀ = 0.007654 m
d₀ = ( 0.007654 × 1000 )mm
d₀ = 7.65 mm
Therefore, required diameter is 7.65 mm
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40 PIONTS FOR ANSWERING 2 Q'S, I WILL PICK BRIANLISET
my equation for Q 7: C=2.7m+1.95
8. For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
9. Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
Answers
Answer:
8.m = ∞
9.[tex]m=\frac{20c-39}{54}[/tex]
Step-by-step explanation:
8.The equation is a vertical line, so the slope is ∞
so the answer for 8. is m = ∞
9.Switch sides:
2.7m + 1.95 = c
Multiply both sides by 100:
2.7m · 100 + 1.95 · 100 = c · 100
Refine:
270m + 195 = c · 100
Move 195 to the right side so it would be: 270m = c · 100 - 195
And now Divide both sides by 270
[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]
And now all that's left is to Simplify it
so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]
Gianna can wash 6 cars in 2 hours. At this rate, how many cars can Gianna wash in 5 hours?
Answers
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
What is unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given question:
Gianna can wash 6 cars in 2 hours
Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.
Gianna's rate of washing cars is 3 cars per hour
Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
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A box of cereal states that there are 99 calories in a
3/4 cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?
Answers
The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a box of cereal states that there are 99 calories in a 3/4 cup serving.
The number of calories per cup is calculated as,
3 / 4 cup = 99 calories'
1 cup = 99 x (4 / 3 )
1 cup = 132 calories
The number of calories for 4 cups of cereal,
1 cup = 132 calories
4 cup = 132 x 4 calories
4 cup = 528 calories
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
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33. Let M2x2 be the vector space of all 2x 2 matrices, and define T : M2x2 → Mo by T(A) A + AT, where a. Show that T is a linear transformation. b. Let B be any element of M2 c. Show that the range of T is the set of B in M2x2 with the d. Describe the kemel of T such that BT B. Find an A in M2xz such that T(A) B property that B B
Answers
a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.
b) T(A)=B, if B be any element of M₂
c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
What is meant by matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.
A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.
Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]
a) Let T is a linear transformation
Consider K₁A₁+K₂A₂ ∈ [tex]M_{ 2*2}[/tex]
T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]
= K₁T(A₁)+K₂T(A₂)
T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)
Therefore, T is a linear transformation.
b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B
Therefore, B is a symmetric matrix.
Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]
T(A)=A+[tex]A^{T}[/tex]
=(1/2)B+[tex](1/2B)^{T}[/tex]
T(A)=B
A=(1/2)B such that T(A)=B
c) Range of T is the set of B in [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B
T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}
d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)
={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}
={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}
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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.
T is a linear transformation, therefore demonstrate it.
b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.
c) Explain the T kernel.
a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.
Additions: T(A+B) = A+B+A+B T = A+B+A T +B
T = (A + A T ) + (B + B T ) = T(A) + T (B).
Scalar multiplication
T(c · A) = (c · A)
T = c · A
T = c · T(A) (A).
b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.
T = \s1 \s2 \sB + \s1 \s2 \sB = B.
c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.
If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.
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almost every american adult has this thing
Answers
Answer: omm
but I need this so
Step-by-step explanation:
what is the equation in slope intercept form of the line that passes through the point (-0.5,7) and is parallel to the graph of y=-8x-2 please help
Answers
Answer:
y = -8x + 3
Step-by-step explanation:
Pre-SolvingWe are given that a line passes through the point (-0.5,7), and is parallel to y = -8x - 2
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
Parallel lines have the same slopes.
Therefore, we can start by finding the slope of y = -8x - 2.
It is also written in slope-intercept form. -8 is where m (slope) should be; therefore, the slope of the line is -8.
SolvingWe can plug in -8 for m in y=mx+b.
y = -8x + b
Now we need to find b.
As the equation passes through the point (-0.5,7), we can use its values to help solve for b.
Substitute -0.5 as x and 7 as y.
7 = -8(-0.5) + b
Multiply
7 = 4 + b
Subtract 4 from both sides
3 = b
Substitute 3 as b in the equation.
y = -8x + 3
Topic: parallel and perpendicular lines
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Select the values that make the inequality h<3h<3 true. (Numbers written in order from least to greatest going across.) -5 -2 0 2 2.9 2.99 2.999 3 3.001 3.01 3.1 4 6 8 11
Answers
The values that make the inequality, h < 3h < 3, true are the values of h in the range 0 < h < 1. The values -5, -2, 0, 2, 2.9, 2.99, 2.999, 3, 3.001, 3.01, 3.1, 4, 6, 8, 11, are larger or smaller than the values make the inequality true.
What is an inequality in mathematics?An is a comparison between two expressions, using non equal expressions, such as ≥, >, ≠, <, or ≤ symbols.
The specified inequality is; h < 3·h < 3
When h < 3·h, we get;
h is a positive number larger than 0, such that we get;
When h < 0, 3·h < h
Therefore; h > 0
The inequality, 3·h < 3, indicates;
3·h < 3
h < 3/3 = 1
h < 1
Which indicates that we get;
0 < h < 1
Therefore, non of the values make the inequality, h < 3·h < 3
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Which equation represents the partial sum of the geometric series? 125 + 25 + 5 + 1.
Answers
The correct option which represents sum expressed in sigma notation is A.
What is sigma notation?
A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.
The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.
The geometric series.
Main body:
∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.
Now, Calculate the partial sum of the geometric series as;
The geometric series = ∑ 125 (1/5)ⁿ⁻¹
Substitute n = 1, 2, 3, 4, we get;
= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹
= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³
= 125 + 25 + 125/25 + 125/125
= 125 + 25 + 5 + 1
Thus, The partial sum of the geometric series is;
⇒ 125 + 25 + 5 + 1
Option A is true.
The correct question is in the figure.
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Which is equivalent to (3^4n)^1/2
Answers
The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.
Which expression is equipped to the given expression?It follows from the task content that the expression which is equivalent to the given expression is to be determined.
Since the given expression is;
( 3^4n ) ^(1/2)
However, it follows from the power of power law of indices that the expression above can be written as follows;
( 3 ) ^ (4n × 1/2)
= ( 3 )^2n
Therefore, the required equivalent expression is; ( 3 )^2n.
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PLEASE HELP ME
What is the y-intercept of this line?
I keep getting confused someone please help me and explain it better to me
Answers
Answer:
2
Step-by-step explanation:
The y-intercept is the point at which the graph crosses the y-axis.
(I have marked it in blue on the attached graph).
From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.
If X is the midpoint of TV, TV bisects RS, and TR is parallel to VS, state five pairs of objects (segments or angles) that must be congruent and give a reason why for each pair.
Answers
According to the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
Alternate Interior Angle Theorem?According to the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.Is it true or false that different interior angles are always congruent? Although untrue, this assertion is a typical misunderstanding. Keep in mind that when the lines are parallel, alternate inner angles are congruent.Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposing sides of the transversal when two lines are crossed by another line (referred to as the Transversal). These two pairs of alternate interior angles in this illustration are c and f.To learn more about Congruent refer to:
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Write an inequality that could be used to represent all solutions for x: the quotient of a number and three minus twelve is less than 12
Answers
We can write the given statement as inequality as -
-(x/9) < 12
What is linear inequality? What is the law of Reversal and law of Trichotomy? What is the general equation of a Straight line?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.
y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and if (a < b) then (b > a).
Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).
The general equation of a straight line is y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the following statement -
"the quotient of a number and three minus twelve is less than 12".
We can write the inequality as -
-(x/9) < 12
Therefore, we can write the given statement as inequality as -
-(x/9) < 12
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Marco has 2 peices of rope that are each 8 yards long.how many feet of rope does m arco have
Answers
Answer:
48 feet
Step-by-step explanation:
Marco has 2 pieces of rope that are each 8 yards long.
2 x 8 = 16 yards.
Marco has a total of 16 yards of rope.
Note that for converting yard to feet, that: 1 yard = 3 feet.
Marco, in this case, has 16 yards. Multiply 16 yards with 3 feet to obtain your answer:
16 yards x (3 feet/1 yard) = 48 feet/16 yards.
Marco has 48 feet worth of rope.
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The soccer field is 105 meters long. The football field is 120 yards long. Which is longer?
Answers
The football field is longer than soccer field.
What is a expression? What is a mathematical equation? What is unit conversion?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.
We have a soccer field that is 105 meters long and a football field is 120 yards long.
In one yard, we have -
1 yard = 0.9144 meters
Then, in 120 yards, we will have -
120 x 0.9144 = 109.728 meters
Now, 109.728 meters > 105 meters.
Therefore, the football field is longer than soccer field.
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If you roll a standard six-sided die a thousand times and add up the total number of pips, which approximate sum could you reasonably expect to end with?
Answers
1) 16.7% probability of rolling 10+.
2) 50% probability an odd number is rolled.
3) 7 is the most likely total result.
These are all the possible outcomes:
(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)
(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)
(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)
(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)
(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)
There are 36 possible outcomes
1) what is the probability of rolling 10+?
There are 6 possible outcomes in which 10+ is rolled:
(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).
So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.
2) what is the probability of rolling an odd number?
There are 18 possible outcomes in which an odd number is rolled.
So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.
3) what is the total that is most likely to result?
There are 6 outcomes in which 7 is rolled.
So 7 is the most likely total result.
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Please Help me With this ASAP (20 Points)
Answers
Answer:
200*1-0.95-0.95+0.9025
200*1-1.9+0.9025
200*0.0025
0.5
. If g = -4 and h = -5 find the value of
a) 4gh
b) g²h
c) 5h - g²
Answers
Answer:
a) 80
b) -80
c) -41
Step-by-step explanation:
For g = -4 and h = -5, you want the values of ...
4ghg²h5h -g²To evaluate these expressions, put the value of the variable where the variable is, and do the arithmetic. A calculator can help.
a) 4gh= 4(-4)(-5) = 80
b) g²h= (-4)²(-5) = -80
c) 5h -g²= 5(-5) -(-4)² = -25 -16 = -41
Can anybody help me with this?
Answers
The Height of trees are equal after 4 years and the height is 54 inches.
What is linear equation?A linear equation is a equation which draws straight line on the plot
when plotted.
Given,
Height of tree A at the time of planting = 38 inches
Height of tree B at the time of planting = 22 inches
Each year tree A grow = 4 inches
Each year tree B grow = 8 inches
Let's make an equation for the height of the trees,
H = 38 +4t
H = 22+8t
Now the time when height of both the trees will equal
38 + 4t = 22 + 8t
4t = 16
t = 4
Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.
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2(x-4 1/2)=-6.1 hellllllppppp meeeee
Answers
Answer:
[tex]x=1.45[/tex]
Step-by-step explanation:
[tex]2\left(x-4 \frac{1}{2} \right)=-6.1 \\ \\ 2\left(x-\frac{9}{2} \right)=-6.1 \\ \\ 2x-9=-6.1 \\ \\ 2x=2.9 \\ \\ x=1.45[/tex]
Find the length of the third side. If necessary, write in simplest radical form.
Legs- 9 and 7
Hypotenuse-?
Answers
You do 9^2 + 7^2 = x^2
81+49=x^2
130=x^2
Square root of 130 is
A decimal so simplistic radical form is square root 130
Answer:
√130
Step-by-step explanation:
|
? | 7
|
---------------------------
9
a² + b² = c²
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
√130 = c
I hope this helps!
Can someone please help me
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expressions that are simplified are:
[tex]n^{4}[/tex]
[tex]\frac{1}{n^{-5}}[/tex]
[tex]\frac{1}{n^3}[/tex]
Options A, B, and E are the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]n^{4}[/tex]
This is already simplified.
[tex]\frac{1}{n^{-5}}[/tex]
This is already simplified.
[tex]n^6 . n^{-8}[/tex]
= [tex]n^{6 - 8}[/tex]
= [tex]n^{-2}[/tex]
[tex]n^7 . p^8[/tex]
= [tex]n^{7 + 8}[/tex]
= [tex]n^{15}[/tex]
[tex]\frac{1}{n^3}[/tex]
This is already in simplified form.
Thus,
The expressions that are simplified are:
[tex]n^{4}[/tex]
[tex]\frac{1}{n^{-5}}[/tex]
[tex]\frac{1}{n^3}[/tex]
Options A, B, and E are the correct answer.
Learn more about expressions here:
https://brainly.com/question/3118662
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