Parallel Lines
PLEASE HELP I NEED ASAP!
Answer:
B
Step-by-step explanation:
The triangles do have equal angles and proportional sides, because they are bot right triangles formed on parallel lines.
:)ur welcome
Answer: Choice B
Yes. Right triangles formed on parallel lines have proportional side lengths and congruent angles.
====================================================
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Recall that slope = rise/run.
The "rise" is the vertical portion of the triangle, while the "run" is the horizontal portion.
So let's say we had a slope of rise/run = 2/3. This means rise = 2 and run = 3.
If we had something like rise/run = 4/6, then that reduces to 2/3, showing that 4/6 = 2/3. They are the same slope.
We can use the SAS similarity theorem to prove the triangles formed in the diagram are congruent based on what is discussed above.
Because the triangles are similar, this means the corresponding angles are congruent. One such pair is the pair of right angles shown.
Estimate the measure of the following angles
Answer:
For A I'd say about 100° and for B about 150° (This is just my estimation)
Step-by-step explanation:
A is almost a right angle but a little more than 90°.
B is almost a straight/flat angle but it's less than 180°.
Answer:
a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)
b. around 230
Step-by-step explanation:
Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value
Answer:
d
Step-by-step explanation:
it is opened up because the voeff of X^2 tetm is positive
Express it in slope-intercept form.
Answer:
y = 1/2x -1
The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.
The y intercept is -1
Please help me this is due in 5 mins!!!
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2
What is the domain to this graph
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
you have five dollar bills and ten dollars bills for a total amount of $325. you have a total of 37 bills. A) write a system of linear equations that models the situation. B) how many of each type of bill do you have?
Answer:
nine $5 bills and twenty-eight $10 bills
Step-by-step explanation:
f = # of five dollar bills
t = # of ten dollar bills
system of equations:
t + f = 37
10t + 5f = 325
solve the first equation for 't' to get:
t = 37-f
substitute '37-f' to 't' in second equation to get:
10(37-f) + 5f = 325
370 - 10f + 5f = 325
-5f = -45
f = 9
t + 9 = 37
t = 28
Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?
Oliver earns a total of $260.
What is Ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:
y = kx +c
since this line goes through the origin point. Constant (c) will be zero.
At the point (1, 8 ) k = 8
Hence, Y = 8x
Because hours worked are 20
earning = 8 * 20 = 160
Total earnings = 100 + 160 = 260
Therefore, the Total money that Oliver earns is $260.
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50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
Each side of a regular polygon is 2.5 cm in length .The perimeter of the polygon is 12.5 cm .How many sides does the polygon have?
with explanation please.
Answer:
There are 5 sides in the polygon.
Total perimeter of the polygon is 12.5 cm and it is a regular polygon.
Each side of the polygon is 2.5 cm.
So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5
Hence, the polygon has 5 sides and it is a regular pentagon.
Step-by-step explanation:
I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.
What is the complement of April choosing five pop CDs?
choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
choosing five CDs where all of them are pop
Answer:
Choosing five CDs where not all of them are pop.
Step-by-step explanation:
Answer:
B) choosing five CDs where not all of them are pop
Step-by-step explanation:
E2020
Which conjunction about whole numbers is true?
The sum of two non-zero even numbers is even and less than the addends.
The sum of two non-zero even numbers is even and greater than the addends.
The difference of two non-zero even numbers is odd and less than the larger number.
The difference of two non-zero even numbers is odd and greater than the larger number.
Answer:
The sum of two non-zero even numbers is even and greater than the addends
Step-by-step explanation:
The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first number be p
Let the second number be q
Now , the values of p and q are even
So , when p = 2 and q = 4
The sum of two non-zero even numbers is even and greater than the addends
p + q > q be equation (1)
p + q > p be equation (2)
2 + 4 > 4
2 + 4 > 2
6 > 4 and 6 > 2
Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends
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Help ASAP will give the Brainliest answer
The degree of the expression 4x^5y^m z is 10. What is the value of m?
A2
B 4
C5
D 10
f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
The graph of g(x) passes through the point (3,3).
To find:
The function g(x).
Solution:
From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
It can be written as:
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get
[tex]3=k(3)^2[/tex]
[tex]3=k(9)[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answer: slope is -3/2
Step-by-step explanation:
(-2,5) (4,-4)
Use the slope formula y2-y1/x2-x1
5-(-4)/-2-4 = -3/2
Answer:
The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?
Answer:
I can't understand this language sorry
what is the solution to the system of equations graphed below?
Answer:
C. (1, -2)
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).
∴ our answer is C.
Answer:
C. (1,-2)
Step-by-step explanation:
with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)
hope this helps! lemme know if you need more
What is the approximate result of converting 20 centimeters into inches? Remember that 1 inch = 2.54 centimeters.
Answer:
7.874 inches
Step-by-step explanation:
20/2.54=7.874
Answer:
7.87
Step-by-step explanation:
1/x = 2.54/20
2.54x = 20
x = 20/2.54
x = 7.87401574803
x = 7.87
Name the marked angle in 2 different ways.
Answer:
angle TVU
Step-by-step explanation:
angle UVT
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If AD is 10 inches long BD is 6 inches long
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
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Line l has a slope of . The line through which of the following pair of points is perpendicular to l?
A. (-5, -6), (3,3)
B.(-9, -6), (3,3)
C. (3,-5), (-6,3)
D. (9,-2),(-6,6)
Answer:
b is the right answer
Step-by-step explanation:
Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=
Answer:
26/63
Step-by-step explanation:
Try to make the denominators equal so that you can add them:
4(3)/21(3)= 12/63
2(7)/9(7)= 14/63
And now you add, which will give you:
12/63 + 14/63= 26/63
What is the monthly net income?? Show work plz
Hiiioo!! Can you please help me out with this!!! ❤️❤️:) (9)
9514 1404 393
Answer:
segment SRGivensegment PRSSS postulateStep-by-step explanation:
1. The only "Given" statement involving QR is ...
QR ≅ SR
2. You will notice that PQ ≅ PS is a Given statement.
3. The reflexive property says a segment is congruent to itself:
PR ≅ PR
4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
There is a bag filled with 5 blue and 6 red marbles.
Marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
thanks,
Answer:
[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297
Step-by-step explanation:
Answer:
36/121
Step-by-step explanation:
We have 5+6 = 11 marbles
P(red) = number of red/ total = 6/11
We replace the marble so we still have 11 marbles
P(red) = number of red/ total = 6/11
P(red, red) = 6/11*6/11 = 36/121
help
PLEASE HEPP ME PLEASE
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
4days : 2 weeks simplify
Answer:
2:7
Step-by-step explanation:
ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.
Answer:
2 : 7
Step-by-step explanation:
7 days = 1 week
y days = 2 weeks
[tex]\frac{1}{7} :\frac{2}{y}[/tex]
1 × y = 2 × 7
y = 14
4 days : 14 days
4 = 2 × 2
14 = 2 × 7
GCF = 2
4 ÷ 2 = 2
14 ÷ 2 = 7
2 : 7
angad was thinking of a number. angad halves the number and gets an answer of 78.5. form an equation with x from the information
Answer:
157
Step-by-step explanation:
Let the number Angad was thinking be 'x'
Equation:-
1/2(x) = 78.5
x = 78.5(2)
x = 157
HELP THIS IS MY LAST ASSIGNMENT FOR MATH
Answer:
Decompose each number:
\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}
6)90=9×10
7)40=4×10
8)890=89×10
9)300=3×100
10)7000=7×1000
11)3700=37×100
Correct the error. Write the correct decomposition:
\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}
12)560=56×10
13)4300=43×100
14)6000=60×100 or 6×1000
