Answer:
Value of x:
[tex]{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\ { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7[/tex]
Finding m‹2 :
[tex]{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}[/tex]
Answer:
m∠2 = 50
Step-by-step explanation:
7x + 1 and 18x + 4 are angles in a linear pair.
Sum of linear pair angles is supplementary.
7x + 1 + 18x + 4 = 180
7x + 18x + 1 + 4 = 180
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 175 / 25
x = 7
Substitute x = 7 in 7x + 1,
7x + 1
= 7 ( 7 ) + 1
= 49 + 1
= 50
7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.
∠2 = 7x + 1
∠2 = 50
One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.
Answer:
5/27 ft²
Step-by-step explanation:
a = 1/3
b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3
the area of the rectangle is a×b
Ar = 1/3 × 5/9 = 5/27 ft²
Select all sets in which the number - 12 is an element.
A. real numbers
B. whole numbers
C. integers
D. irrational numbers
E. natural numbers
F. rational numbers
Help plz
real numbers, integers, rational numbers
=========================================================
Explanation:
So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.
So that's why -12 is a real number.
Choice A is one of the answers
---------------
The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values
{..., -3, -2, -1, 0, 1, 2, 3, ...}
That makes -12 an integer
Choice C is one of the answers
----------------
The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1
This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.
------------------
We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.
The requried, -12 is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
Here,
Only sets that consist of negative values are, real numbers, integers, and rational numbers.
So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.
Thus, the requried, -12 is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.
Learn more about the number system here:
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Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?
the answer to this question is the slope is 43
Answer:
Therefore, the slope is 3/4
Step-by-step explanation:
An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)
Likewise, an
y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)
Now we have two points(4,0) (0,-3)
To find the slope given two points, we use the formula
rise÷run , or y2−y1÷x2−x1 .
Plug in the given points into the formula
-3-0/0-4
-3/-4
3/4
Therefore, the slope is 3/4
Hope this helps!
Which two repeating decimals are equivalent to 10/11 A b c or D
Answer:
I think it is 0.909090909090. Hope this helped.
Step-by-step explanation:
Convert 7.5 gallons to quarts using a unit multiplier.
Answer:
7.5 Imperial Gallons = 30 Imperial Quarts
Hi there!
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I believe your answer is:
30 qt.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
There are 4 quarts in a gallon.7.5 * 4 = 30
7.5 gal. = 30 qt.
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»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLS PLS help me create a new polynomial identity ASAP!!!!!
(y+x) + (ax+b)
Square the expression on the left, then add the expression on the right.
Answer:
ax + b + y^2 + 2yx + x^2
Step-by-step explanation:
(y+x)^2
= (y+x)(y+x)
= y^2 + 2yx + x^2
y^2 + 2yx + x^2 + (ax+b)
= ax + b + y^2 + 2yx + x^2
find x.
can someone work it out for me so i can try and figure out how to do problems like this on my own? please and thank you
Answer:
x = 7/2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos 45 = x / 7 sqrt(2) /2
7 sqrt(2)/2 cos 45 = x
7 sqrt(2)/2 (1/ sqrt(2))= x
7/2 = x
Please help! Solve each equation with its indicated method. Please show your work and upload a picture. Thank you!
1. Solve using substitution
2x + 3y = 24
-3x - 5y = 15
2. Solve using elimination
x - y = 3
2x + 4y = 9
Refer to the attachment
Please help quick pleaseeeeeeeeeeee
Answer:
think this one
Step-by-step explanation:
the answers there
i think
Given that h(x) = - (x - 1)^2 - 1, write an expression for f(x) in terms of x.
f(x) =
Answer: f(x) = -(x-1)^2+5
Explanation:
f(x) = h(x) + 6
f(x) = -(x-1)^2 - 1 + 6
f(x) = -(x-1)^2+5
Must click thanks and mark brainliest
If the cost of white tiles is $240, what is the unit cost of white tiles?
I need help with C and G and are A,B,E, and F right?? Plz help ASAP
Answer:
$15 and 3600ft^2
Step-by-step explanation:
C) There are 16 white tiles used. The unit cost of a white tile=240/16=$15
E) The cafeteria area consists of 36 tiles of dimensions 10 ft x 10 ft, so the area of the floor is 3600ft^2
18. Which ordered pair is a solution of the system of linear equations listed below?
2x + y = -5
-x+3y=6
A. (-3, 1)
B. (3, 1)
C. (-3,-1)
D. (-1,3)
Answer:
A
Step-by-step explanation:
Given the 2 equations
2x + y = - 5 → (1)
- x + 3y = 6 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the x- term
- 2x + 6y = 12 → (3)
Add (1) and (3) term by term to eliminate x
0 + 7y = 7
7y = 7 ( divide both sides by 7 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
2x + 1 = - 5 ( subtract 1 from both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
solution is (- 3, 1 ) → A
If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)
Answer:
8.1 = LM
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
13 * 5 = LM^2
65 = LM^2
sqrt(65) = LM
8.06225 = LM
To one decimal place
8.1 = LM
If you know the answer can you please walk me through how you got it.
Answer: Choice B
1 & 3/4
=============================================
Explanation:
Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.
Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.
We'll divide the numerators 7 and 4 to get
7/4 = (4+3)/4
7/4 = (4/4) + (3/4)
7/4 = 1 + (3/4)
7/4 = 1 & 3/4
Meg can get 1 & 3/4 servings from the jug.
help me please it easy.
Answer: there is no picture attached or equation? what's the question?
Step-by-step explanation:
ok, what do you need help with?
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answer:
24.68 gram
Step-by-step explanation:
Given that :
Volume = 182.8 ml
Density of liquid = 0.135 gram/ml
Recall :
Density = mass (g/ml) / volume (ml)
Substitute the value into the equation :
0.135 = mass / 182.8
Mass = 0.135 * 182.8
Mass = 24.678 gram
Hence, weight = 24.678 grams
In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly $3$ times
Answer:
In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.
See the attached image for step by step explanation of the final probability
Is the rate of change of the function 5? help pls :')
Answer: B
No, because y does not change by 5 every time x changes by 1
Step-by-step explanation:
rate of change is basically slope
if the rate of change of the function of 5, then the slope will be 5/1
The x changes by 1 every time y changes by 4
so the slope of the function is 4
If necessary, write in simplest radical form
Answer:
2*sqrt(5)
Step-by-step explanation:
By using Pythagoras theorem, we have
4^2+2^2=(the third side)^2
16+4=(the third side)^2
Third side=sqrt(20)=2*sqrt(5)
When a projector is placed 10 meters from a screen as shown, it produces an image 3 meters high. If the tallest image that the projector can produce without distortion is 4.5 meters high, what's the maximum distance the projector can be placed form the screen
Answer:
Step-by-step explanation: 10 meters/3 meters =x/4.5 meters
Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high
3x = 10 (4.5)
3x = 45
X= 45/3
X= 15 meters
So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.
13-16 pls I don’t understand
Answer:
13. 1
14. 42
15. 65
Step-by-step explanation:
13.
If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.
Only one number is an integer and has a reciprocal that is an integer, the number being 1.
1/1 = 1
1/1 = 1
Average:
1+1 = 2
2/1 = 1
Therefore the answer is 1.
14.
If we multiply everything by 7x, we'd get
7 + x = 49
subtract 7 on both sides
x = 42
15.
If
pg = 50 and gr = 15
then
pg + gr = 65
factoring that would give you
g(p+r) = 65
I can't see 16 but good luck!
If x+y=3 and xy=2 find the value of x^2+y^2
Answer:
yes but something like that
Answer:
5
Step-by-step explanation:
We know that
[tex]x + y = 3[/tex]
and
[tex]xy = 2[/tex]
Solve for x in first variable
[tex]x = 3 - y[/tex]
Substitute this into second equation
[tex](3 - y)y = 2[/tex]
[tex] - {y}^{2} + 3y - 2[/tex]
Simplify
[tex] {y}^{2} - 3y + 2[/tex]
[tex](y - 1)(y - 2)[/tex]
[tex]y = 1[/tex]
[tex]y = 2[/tex]
So x or y can be
[tex]x = 1 \: \: y = 2[/tex]
or
[tex]x = 2 \: \: \: y = 1[/tex]
So we need to find x^2 and y^2.
[tex] {2}^{2} + {1}^{2} = 5[/tex]
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent
The question given is incomplete as the information about the headphones isn't given.
However, we can solve the problem by using hypothetical values.
Answer:
Kindly check explanation
Step-by-step explanation:
Given
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.
Let :
The number of defective headphones = 10
The total number of headphones on the sample = 50
To express as a ratio :
Defective headphones : total headphones
10 : 50 = 1 : 5
To express as a percentage ;
1 / 5 * 100% = 20%
Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need? im confused on how to do the work. please answer quickly
Answer:
total surface area = 298.45105 m2
lateral surface area = 141.37155 m2
top surface area = 78.53975 m2
bottom surface area = 78.53975 m2
Step-by-step explanation:
Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.
To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr² + 2πrh
Where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.
Plugging in the values, we have:
Surface Area = 2π(5)² + 2π(5)(4.5)
Simplifying the equation:
Surface Area = 2π(25) + 2π(22.5)
Surface Area = 50π + 45π
Surface Area = 95π
To find the actual numerical value, we can approximate π as 3.14:
Surface Area ≈ 95 * 3.14
Surface Area ≈ 298.3 square inches
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Find the area of the shape shown below.
this is on khan academy
Answer:
42 units^2
Step-by-step explanation:
Break this into a rectangle and a triangle
The rectangle is 12 by 1
A = l*w = 12*1 =12
The triangle has a base of 6-1 =5 and a height of 12
A = 1/2 bh = 1/2 (5)*12 = 30
Add the areas together
12+30 =42
Answer:
[tex]42 \: {units}^{2} [/tex]
Step-by-step explanation:
First divide the shape into triangle and a rectangle
then find the Area of the triangle and the rectangle separately
Area of the rectangle
[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]
Area of the triangle
[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]
Area of the shape
[tex]12 + 30 = 42 \: {units}^{2} [/tex]
the set is points indicated by 10. is the ___of the angle
Answer:
the points indicats exterior of the angle
What is the equation of a line that passes through the point (5,3) and has a slope of -2?
Answer:
y = -2x +13
Step-by-step explanation:
you know the point is (5,3) and slope is -2
sub into the linear equation y=mx+b
3 = -2(5) +b
rearrange and solve for b
b= 3 + 10
b = 13
For which of the following intervals is the graph decreasing?
O A. -2
OB.-4
C. -8 < X <-5
OD. 6
Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1
Answer:
y - 5 = -1/6 (x - 4)
Step-by-step explanation:
y = 6x - 1 y = -1/6x + b
y - 5 = -1/6 (x - 4)
A cell phone company charges $400 for a new phone and $50 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? R: ℝ R: (–∞, ∞) R: (0, 400) R: (50, 450)
Answer:
D
Step-by-step explanation:
R: (50, 450)
Answer:
D
The R (range) is: (50, 450)