One roll of duct tape is 180 feet. One case of duct tape is 24 rolls. How many feet of duct tape are in 6 cases?

Given:

Parallel lines p and q are cut by transversal r.

m∠3=(3x + 4)° and m∠5=(2x + 11)°.

To find:

The relation between ∠3 and ∠5, then find the measure of angle 5.

Solution:

Parallel lines p and q are cut by transversal r as shown in the below figure.

From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.

[tex]m\angle 3=m\angle 5[/tex]

[tex](3x+4)^\circ=(2x+11)^\circ[/tex]

[tex]3x+4=2x+11[/tex]

Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].

Isolate variable terms.

[tex]3x-2x=11-4[/tex]

[tex]x=7[/tex]

The value of x is 7.

Now,

[tex]\angle 5=(2x+11)^\circ[/tex]

[tex]\angle 5=(2(7)+11)^\circ[/tex]

[tex]\angle 5=(14+11)^\circ[/tex]

[tex]\angle 5=25^\circ[/tex]

Therefore, the measure of angle 5 is 25°.

Answer:

-11

Step-by-step explanation:

I hope this helps!

Answer:

C. (0, -3)

Step-by-step explanation:

The red point is (-6, -3)

The blue point is (6, -3)

The only answer that fits through the line that those two would make is (0, -3)

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Answer:

2,796.

Step-by-step explanation:

First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.  

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Answer:

x- (3,0) and y- (0,6)

Step-by-step explanation:

see picture below

hope this helps!! :)

Answer:

89

Step-by-step explanation:

6+4x=8+3x

-3x     -6

x=2

the number is 2

Answer:

[tex]2x^{2} +20x+53[/tex]

Step-by-step explanation:

2(x^2 + 10x + 25) + 3

2x^2 + 20x + 50 + 3

2x^2 + 20x + 53

Answer:

C

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

Answer:

It is 34 and 36.

Step-by-step explanation:

Answer:

m1=m2 condition for parallelism

m1=m2= 2/3

= y-7/x_6

y=2/3x +3

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:



This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:



3 squared is 9, so a square root of 9 is 3

It is like asking:

Answer:

D

Step-by-step explanation:

Answer:

the one you have selected

Step-by-step explanation:

you already have the correct answer

The expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]

The equation of the function is given as:

[tex]f(x) = x[/tex]

The rule of horizontal stretch by a factor of 2 is represented as:

[tex](x,y) \to (\frac 12x,y)[/tex]

So, we have:

[tex]y = f(\frac 12x)[/tex]

The rule of reflection over the x-axis is represented as:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]y = -f(\frac 12x)[/tex]

The rule of a vertical shift down by 4 units is:

[tex](x,y) \to (x,y-4)[/tex]

So, we have:

[tex]y = -f(\frac 12x)-4[/tex]

Hence, the expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

30

Step-by-step explanation:

When g = 12 and h = 7, the value of the expression is 30.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is 4(g - h) + 10.

Substitute the values of g and h as g = 12 and h =7, we get,

4(g - h) + 10 = 4(12 - 7) + 10

                   = (4 × 5) + 10

                   = 20 + 10

                   = 30

Hence the value of the expression is 30.

To learn more about Expressions, click on the link :

https://brainly.com/question/28170201

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Answer: for the first one it’s y= -6/5x -4

for the second one it’s y=1/5x-2

for the 3rd one it’s y=1/4

for the 4th one it’s y=-x+1/2

Step-by-step explanation:

1)

[tex]y = - \frac{6}{5} x - 4[/tex]

2)

[tex]y = \frac{1}{5} x - 2[/tex]

3)

[tex]y = \frac{1}{4} x[/tex]

4)

[tex]y = - x + \frac{1}{2} [/tex]

Answer:

Don’t wanna

Step-by-step explanation:

Answer:

The product that will be larger is 3x1/5

Step-by-step explanation:

So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.

Hope this helped ;)

Answer:

0.4285

Step-by-step explanation: That’s what Siri told me✊✊✊‍♂️

Answer:

y=4x+35

Step-by-step explanation:

This is the answer because he already has 35 employees and gaining 4 employees for an x number of months.

Answer:

Slope = -2

Step-by-step explanation:

use the formula y2-y1 over x2-x

Pick two points from the graph

(3,-6) and (-3,6)        

X= 3 and -3

Y= -6 and 6

6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)                  

Answer:

3 and 3/5

10 and 2/5

2 and 11/10

Step-by-step explanation:

Answer:

−15x+−30

Step-by-step explanation:

Distribute:

=7+(−3)(5x)+(−3)(−10)+−67

=7+−15x+30+−67

Combine Like Terms:

=7+−15x+30+−67

=(−15x)+(7+30+−67)

=−15x+−30

Answer:

Step-by-step explanation:

66