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Varvara68 [4.7K]
3 years ago
9

∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30) ∘ and m\angle B=(2x-9)^{\circ}∠B=(2x−9) ∘ , then f

ind the value of x.
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

x = 21

Step-by-step explanation:

Vertical angles are congruent, this

3x - 30 = 2x - 9 ( subtract 2x from both sides )

x - 30 = - 9 ( add 30 to both sides )

x = 21

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The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
Determine if is y=3x^2+2x-3 linear, quadratic, or exponential.
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Step-by-step explanation:

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MARK BRAINIEST IF IT HELPS

6 0
2 years ago
PLS HELP ASAP PLZ PLZ PLZ
KIM [24]
I am unsure about the very last problem but I can help with the first two

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This would give us

y + 5 =

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remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as 6r * 7=

I hope this helps!:)

6 0
2 years ago
Brad buys two packages of mushrooms. He paid $11.25 for 2/3 lb of Cremini mushrooms and $7.99 for 1/2 lb of Chanterelle mushroom
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I think the answer is B if you ask me

8 0
2 years ago
Read 2 more answers
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Answer: 18

Step-by-step explanation:

2 degrees per hour

9 hours

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4hr= 8 degrees

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So you are basically doing 2x9 to get your answer

4 0
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