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3 years ago

9

The sum of the measures of three adjacent angles is 150°.The measures of the angles are in the ratio of 1 : 2 : 3. What is the m

easure in degrees of the largest angle?

1 answer:

taurus [48]3 years ago

5 0

Answer:

3=75 degrees

Step-by-step explanation:

1+2+3=6

1*150/6=25degrees

2*150/6=50 degrees

3*150/6=75 degrees

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A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the g

astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

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2 years ago

Rewrite the equation by completing the square.<br> 4x2 + 28x + 49 = 0<br> (x+) =

Vlada [557]

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

4 0

3 years ago

A class of 40 students elected a class president. There were 12 votes for Candidate A, and 18 votes for Candidate B. The rest of

mote1985 [20]

40 students
12-A
18-B
40-12=28
28-18=10
10/40 did not vote.
25% did not vote
10 is one fourth of 40
fourth of 100% is 25%

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3 years ago

PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.

pochemuha

Answer:

Its A

Step-by-step explanation:

Standard equation: y=mx+b

x+y=0

-x -x

y=-x+0

8 0

3 years ago

Mr. Falcone pizza shop offers three sizes of pizza. The small medium and large pizzas have diameters of 8 inches 10 inches 12 in

ollegr [7]

<h2>The circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.</h2>

Step-by-step explanation:

Given,

The diameter of small pizza = 8 inches,

The diameter of medium pizza = 10 inches and

The diameter of large pizza (d) = 11 inches

To find, the circumference of each size of pizza = ?

We know that,

The circumference of the circle = $2\pi r= \pi d$

∴ The circumference of small size of pizza = 3.14 × 8 = 25.12 inches

The circumference of medium size of pizza = 3.14 × 10 = 31.4 inches

Also,

The circumference of large size of pizza = 3.14 × 12 = 37.68 inches

Thus, the circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.

You can also refer:

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3 years ago