Answer: x = 40
<u>Step-by-step explanation:</u>
3x + x + 20 = 180 <em>same side (consecutive) interior angles</em>
4x + 20 = 180
4x = 160
x = 40
****************************************************************************
Answer: x = 24
<u>Step-by-step explanation:</u>
6x - 24 + 2x + 12 = 180 <em>linear pair (supplementary angles)</em>
8x - 12 = 180
8x = 192
x = 24
****************************************************************************
Answer: x = 16
<u>Step-by-step explanation:</u>
base angles of an isosceles triangle are congruent
2(2x + 15) + 6x - 10 = 180 <em>triangle sum theorem</em>
4x + 30 + 6x - 10 = 180
10x + 20 = 180
10x = 160
x = 16
****************************************************************************
Let ∠1 and ∠2 represent the exterior angles in the diagram and "x" represent the same side (consecutive) interior angle with ∠1.
Then m∠1 + x = 180 <em>same side interior angle theorem</em>
and m∠2 + x = 180 <em>linear pairs are supplementary </em>
m∠1 + x = m∠2 + x <em>transitive property</em>
m∠1 = m∠2 <em>subtraction property of equality</em>
∠1 ≈ ∠2 <em>definition of congruency</em>
To find the perimeter we must first find the length of the sides. How to do this is shown below:
The formula for the area of a square is:
A = s²
Area = side²
We know that area (A) is 324
324 = s²
Now we must find the length of the side (s). To do this we must get rid of the square. To remove the square from s take the square root of both sides:
√324 = √s²
18 = s
Each side of the square is 18 cm
Now we can find the perimeter of the square using the formula:
P = 4s
P = 4(18)
P = 72
The perimeter of a square with an area of 324 cm² is C. 72 cm
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
B: 153ft2
Step-by-step explanation:
Answer:
negative three and negative 4 :)
Step-by-step explanation:
