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2 years ago

The sum of the measures of the interior angles in a convex polygon is 1,260°. How many sides does the polygon have?

1 answer:

3 0

The formula for working out the total interior is:

180(n-2) = 1260

So let’s rearrange by dividing both sides by 180 and find what n is:

n-2 = 7

Then let’s add 2 to both sides to find what n is:

n=9

Each interior angle is 1260/9 = 140°.
The sum of the interior angle and its corresponding exterior angle is 180°.

Therefore, the polygon has 9 sides. :)

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What’s the missing side length?

qaws [65]

4 yd. 9-5=4. Hope this helps!

5 0

2 years ago

Question in the image below:

horrorfan [7]

Answer:

x = 5/33 or 0.151515151

Step-by-step explanation:

7(-6x-2) = 8(3x-4)

step 1: simplify the equation.

-42x - 14 = 24x - 4

step 2: isolate the variable (using the balance method).

-42x - 14 + 14 = 24x - 4 + 14

-42x = 24x + 10

-42x - 24x = 24x - 24x + 10

-66x = 10

step 3: solve for x.

x = 10 ÷ -66

x = 5/33

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2 years ago

A barometer falls from a weather balloon

8_murik_8 [283]

Answer:

Step-by-step explanation:

h(t) = -16t² + 14400

0= -16t² + 14400

(1/-16)×-14400=-16t²(1/-16)

900=t²

$\sqrt{900} =\sqrt{t^{2}}$

30=t

7 0

2 years ago

The height of a 12-year-old boy increased by 17% last year and by 12% this year. What is the total increase in percentage terms?

murzikaleks [220]

Answer:

1. 12(1.17h) = 1.3104h Which is a 31.04% increase

Step-by-step explanation:

6 0

3 years ago

If the divisor is 40 what is the least three-digit dividend tag would give a remainder of 4

fgiga [73]

Let the three digit dividend be abc ,

then abc = 40*Q+4

So, abc is "40 times Q (the quotient, a number) plus 4"

we try a few values of Q for which 40Q+4 is a 3 digit number:

for Q=2

40*2+4=80+4=84

for Q=3

40*3+4=120+4=124

Answer: 124

4 0

3 years ago