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vovangra [49]
3 years ago
10

Please answer the following:

Mathematics
1 answer:
serg [7]3 years ago
3 0
The sum of all interior angles in a polygon is
180(n - 2), where n = the number of sides in the polygon.

now, notice this figure above, it has 5 sides, namely is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540, therefore

\bf (4x)~+~(3x+15)~~+~~(4x-25)~~+~~(3x+25)~~+~~(2x-3)=540
\\\\\\
16x+12=540\implies 16x=528\implies x=\cfrac{528}{16}\implies x=33
You might be interested in
A triangle has side lengths of 36 in, 27in, and 61 in. Classify it as acute, obtuse, or right.
Lady_Fox [76]
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61 </span><span> <span> <span> 1,296, </span></span></span> <span> <span> <span> 729, </span></span></span> <span> <span> <span> 3,721 </span> </span> </span> <span><span> </span> </span> <span><span> </span> </span> <span><span>2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025

3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side²   Acute Triangleif sum = 3rd side²   Right Triangleif sum < 3rd side²   Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm
</span></span>
7 0
3 years ago
According to the US department of labor, total employment is expected to increase from 146 million in 2000 to 168 million in 201
saveliy_v [14]

Answer:

The percent increase in the employment from the year 2000 to year 2010 is 15.07\%.

Step-by-step explanation:

Given:

Employment in the year 2000 =146 million.

Employment in the year 2010 =168 million.

To find: The percent increase in the employment.

Solution: We have,

Employment in the year 2000 =146 million.

Employment in the year 2010 =168 million.

Increase in employment =168-146=22 million.

Percent increase =\frac{\textrm{Increase in employment}}{\textrm{Original employment}}\times100\%

Percent increase =\frac{22}{146}\times100\%=15.07\%

Hence, the percent increase in the employment from the year 2000 to year 2010 is 15.07\%.

3 0
3 years ago
Answer number 31 and 32. For what value of x is the figure the given parallelogram?
sp2606 [1]

Answer:

cant see 32

Step-by-step explanation:

5 0
3 years ago
How many rational numbers are between -2 and 5?
Butoxors [25]
The answer is 7 because 2 to 5 is 3 and -2 to 5 I 7
4 0
3 years ago
What is a reasonable estimate for the product 43 times 68
dsp73
43 times 68.

43
x68

8 times 3 is 24. Bring the 2 over the 4.
8 times 4 is 32. Add 4. Equals 36.
Answer so far is 364.

Add a 0 before answering.
3 times 6 is 18. Bring the 1 over the 4.
4 times 6 is 24. Add 4. Equals 28.
Answer so far is 288

Add 364 + 288
Final answer is 652.
7 0
3 years ago
Read 2 more answers
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