Solve for x. Enter your answer in the box. x = °

Mathematics

2 answers:

Alex Ar [27]3 years ago

5 0

Answer:

Measure of the unknown angle x will be = 109°

Step-by-step explanation:

Sum of all interior angles with n sides of a polygon is given by (n - 2)× 180°

Now in the picture attached, polygon has the number of sides = 5

By placing the value of n = 5 in the expression

(5 - 2)×180° = x + 121 + 108 + 102 + 100

3 × 180 = x + 431

540 = x + 431

x = 540 - 431

x = 109°

Therefore, measure of the unknown angle x will be = 109°

liq [111]3 years ago

4 0

As we can notice the shape is a Pentagon. A Pentagon's angles should add up to 540. So we can use simple addition and subtraction to solve.

121 + 108 + 102 + 100 = 431

540 - 431 = 109

109 should be your answer

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Need help with this math problem

ladessa [460]

Answer:

m<1: 51

m<2: 61

m<3: 29

Step-by-step explanation:

m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.

61 + 68 = 129

180 - 129 = 51

m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.

m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:

90 + 61 = 151

Then subtract:

180 - 151 = 29

8 0

3 years ago

A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, she puts one hundred bacteria into what

ad-work [718]

Answer:

about 2283

Step-by-step explanation:

Plug 24 in for the value of t. e is its own value like pi but 2.1.........

4 0