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Nastasia [14]
2 years ago
15

(SAT Prep) Find the value of x.

Mathematics
1 answer:
nydimaria [60]2 years ago
3 0

Step-by-step explanation:

Both the angles will sum up to 180° as they are adjoint angles.

3x+2x= 180°

5x=180°

x=180°/5

x=36°

[Extra:- 3x=3×36=108° and 2x=2×36=72° 5x=108°+72°=180°]

Hope this helps you .

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What is the surface area of a cylinder with base radius 4 and height 5
mestny [16]
A=226.19 A=2πrh+2πr2=2·π·4·5+2·π·42≈226.19467
7 0
3 years ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Dan is comparing the cost of having printed and prepared by two companies
Kay [80]

For 4 copies, the total cost for preparing and printing will be the same.

Step-by-step explanation:

Let,

p be the number of pages

Company A;

Charges of preparing = $6

Charges of per page print = $2.50

A(p)= 2.50p + 6   Eqn 1

Company B;

Charges of preparing = $4

Charges of per page print = $3

B(p)= 3p + 4    Eqn 2

For equaling the cost;

A(p) = B(p)

2.50p+6=3p+4\\2.50p-3p=4-6\\-0.50p=-2

Dividing both sides by -0.50

\frac{-0.50p}{-0.50}=\frac{-2}{-0.50}\\p=4

For 4 copies, the total cost for preparing and printing will be the same.

Keywords: Addition, division

Learn more about division at:

  • brainly.com/question/4401748
  • brainly.com/question/4459688

#LearnwithBrainly

8 0
3 years ago
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n &gt; 1? 5,–1, –7, –13, –19, ...
o-na [289]

Answer:

5

Step-by-step explanation:


3 0
3 years ago
Please tell me the answer for both
Anna007 [38]
Answer: Number one is C and number two is B
8 0
3 years ago
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