Mara is building a set of shelves supported by a diagonal brace, as shown in the diagram. Answer the questions to decide whether all three shelves are parallel. 1. If ∠2 measures 120°, what is the measure of ∠1? Explain how you found the measure of ∠1. (The image) Write your answer in the space below. 2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are ∠1 and ∠5? Write your answer in the space below. 3. Use the relationship between ∠1 and ∠5 to decide whether the top and middle shelves are parallel. Write your answer in the space below. 4. Is the bottom shelf parallel to the top shelf? Explain. Write your answer in the space below. 5. Is the bottom shelf parallel to the middle shelf? Explain. Write your answer in the space below.

Answer:

=17c−11

Step-by-step explanation:

i hope this helps you

Answer:

17 c - 11

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

Answer:

n³ - 3

Step-by-step explanation:

Let the number be n

Then 3 subtracted from the cube of a number:

Answer:

-1

Step-by-step explanation:

-2.75+(-3.25)+5

[tex]-\frac{275}{100} +(-\frac{325}{100} )+5[/tex]

[tex]\frac{5^{2}*11 }{2^{2}*5^{2} } +(-\frac{5x^{2} *13}{2^{2}*5^{2} } )+5[/tex]

-1

hope this helps.

Answer: [tex]-\frac{9}{x^2}[/tex]

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Work Shown:

[tex]\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9}{x+\Delta x} - \frac{9}{x}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9x}{x(x+\Delta x)} - \frac{9(x+\Delta x)}{x(x+\Delta x)}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{\frac{9x-9(x+\Delta x)}{x(x+\Delta x)}}{\Delta x}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{9x-9x-9\Delta x}{x\Delta x(x+\Delta x)}\\\\\\[/tex]

[tex]\displaystyle \lim_{\Delta x \to 0^{+}} \frac{-9\Delta x}{x\Delta x(x+\Delta x)}\\\\\\\displaystyle \lim_{\Delta x \to 0^{+}} \frac{-9}{x(x+\Delta x)}\\\\\\\displaystyle \frac{-9}{x(x+0)}\\\\\\\displaystyle -\frac{9}{x^2}\\\\\\[/tex]

The trick here is to first simplify the expression so that the [tex]\Delta x[/tex] term in the very lower denominator cancels out. This is to avoid dividing by zero. Once this division by zero error is avoided, we can replace the delta x term with 0 and evaluate the limit as [tex]\Delta x[/tex] approaches 0 from the right or positive direction.

Answer:

Step-by-step explanation:

h^2 + 6 = 31

h² = 25

√h²= √25

h = 5

Answer: -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1, -4)    ⇒    x = 1,  y = -4

A. x=1 ⇒ y = -2•1 = -2 ≠ -4

B. x=1 ⇒ y = -4•1 = -4

C. x=1 ⇒ y = 1 - 4 = -3 ≠ -4

D. x=1 ⇒ y = 4•1 = 4 ≠ -4

Answer:

its B

Step-by-step explanation:

Step-by-step explanation:

First u hv to understand what is asked. Here, u have to find the intersecting numbers from the set A and not included in set B. Thus, u know except foe 2,4,6,8, othher numbers are not in set B. Set A is included 1,2,3,4,5. In this way u can simply find AnB' as AnB'={1,3,5}

Answer:

1.)6=y-5

On transposing y to L.H.S, we obtain

6+5=y

11=y

Step-by-step explanation:

Hope this helps you

If yes then do mark my answer as brainliest

Answer:

The sum of 4  and X

Step-by-step explanation:

Answer:

It is the first option: -[tex]\sqrt{25}[/tex], -[tex]\frac{22}{4}[/tex], -560%, -2[tex]\pi[/tex]

Answer:

1 2/4, 1 3/6 ,1 4/8, 1 5/10, 1 6/12 I can't see the answer choices but here are things that 1 1/2 will equal

Step-by-step explanation:

Answer:

500442

Step-by-step explanation:

Answer:

500,000

Step-by-step explanation:

Answer:

3 cows, 27 chickens

Step-by-step explanation:

66=4x + 2y

30 = x+y

3 cows, 27 chickens

Answer:

16 cows 1 chicken

Step-by-step explanation:

if its not right then please specify

Answer:

Same as the other guy

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

It is true because the zeros are just place holders and really don't mean anything until you move the decimal place.

Answer:

(3x² + 2y)²

Step-by-step explanation:

Given

9[tex]x^{4}[/tex] + 12x²y + 4y² ← a perfect square

9[tex]x^{4}[/tex] = (3x²)² and 4y² = (2y)²

of the form

9[tex]x^{4}[/tex] + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²

Answer:

[tex] \boxed{\sf d. \ \frac{a}{b} = \frac{10}{7}} [/tex]

Step-by-step explanation:

[tex] \sf \implies \dfrac{a - b}{b} = \dfrac{3}{7} \\ \\ \sf \implies \frac{a}{b} - \frac{b}{b} = \frac{3}{7} \\ \\ \sf \implies \frac{a}{b} - 1 = \frac{3}{7} \\ \\ \sf \implies \frac{a}{b} - 1 + 1 = \frac{3}{7} + 1 \\ \\ \sf \implies \frac{a}{b} = \frac{3}{7} + 1 \\ \\ \sf \implies \frac{a}{b} = \frac{3}{7} + \frac{7}{7} \\ \\ \sf \implies \frac{a}{b} = \frac{3 + 7}{7} \\ \\ \sf \implies \frac{a}{b} = \frac{10}{7} [/tex]

Answer:d

Step-by-step explanation:b=7

a-b=3

=>a=3+7

a=10

Answer:

42

Step-by-step explanation:

Answer: the answer is B

Step-by-step explanation:

And you will save $18.00

Answer:

∠K =24

∠L =66

Step-by-step explanation:

first you need to find X in order to solve.

since they are Complementary they add together to equal 90 degrees

so we can set them equal to 90

13x-1=90

13x=91

x=7

now we can plug them in!

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∠K = 3(7)+3 = 24

∠L =10(7)-4=66

Answer:

The answwe is B.

Step-by-step explanation:

When you substitute x = 5 into the expression, ypu will get 37.

Prime number is a number that has only 2 factors, one and itself.

So 37 is a prime number.

Answer: is b

Step-by-step explanation:

hope that help

Answer:

Step-by-step explanation:yes

Answer:

-3.2

Step-by-step explanation:

6 - 6.2 - 2 + 4 - 5

-0.2 - 2 + 4 - 5

-2.2 + 4 - 5

1.8 - 5 = - 3.2

the ansser is -3.2 this is very inportent

Answer:

Simple Intrest answer would be: $551.25

A=450(1+(0.075x3))

Compound Intrest answer would be: $559.03

Answer: Your x value is supposed to be negative, you wrote it as positive.

It should be:

7x^4+32x^3+27x^2-26x+8

Answer:

[tex]48.5cm^{2}[/tex]

Step-by-step explanation:

This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with [tex]7*8=56[/tex] and subtract the triangle.

Area of missing triangle = [tex]\frac{1}{2} *b*h[/tex] (b is the base and h is the height)

Base = [tex]8-3=5[/tex]

Height = [tex]7-4=3[/tex]

Area of missing triangle = [tex]\frac{1}{2} *5*3=7.5[/tex]

Area of the figure: [tex]56-7.5=48.5[/tex]

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Alternatively, you can find the area of each individual shape and add them all up.

Area of the rectangle: [tex]8*4=32[/tex]

Area of square: [tex](7-4)*3=9[/tex]

Area of triangle: [tex]\frac{1}{2} *(8-3)*(7-4)=\frac{1}{2} *5*3=7.5[/tex]

Total Area: [tex]32+9+7.5=48.5[/tex]

Answer:

49.2

Step-by-step explanation:

I first found the area (length x Width) of the rectangle which is 8x4= 32

Then I subtracted 7cm and 4cm to find the width of the square which is 3cm

To find the area of the square multiple 3x3= 9

Then to find the area of the triangle I subtracted 8cm and 3cm to get the length of the triangle which is 5cm

You already know the width of the triangle (3cm) so you multiply 5cm x 3cm to get 15, but snice its a triangle you’re going to divide 15 by 2 = 7.2

Lastly your going to add up all those numbers :

32+9+7.2 = 49.2

So the area of the triangle is 49.2