Answer: x = 12
<u>Step-by-step explanation:</u>
a) Linear Pair: 110° + ∠a = 180° --> ∠a = 70°
b) congruent sides implies congruent angles --> ∠b = 70°
c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180
70° + 70° + ∠c = 180°
∠c = 40°
d) Complimentary Angles: ∠c + ∠d = 90°
40° + ∠d = 90°
∠d = 50°
∠2) Linear Pair: ∠d + ∠2 = 180°
50° + ∠2 = 180°
∠2 = 130°
x) m∠2 = 130°
10x + 10 = 130°
10x = 120
x = 12
Answer is 3-110x
3 times 1 squared - 11 times 10
1 raised to any power equals 1
calculate the product
3 times 1 -110x
any expression multiplied by one stays the same
3-110x
i hope this helped! thanks!
Answer:
96b-60
Step-by-step explanation:
12(8b-5)=
12*8b - 5*12 =
96b-60
Answer:
75.40 feet
Step-by-step explanation:
For the two small semicircles, the circumference is
, or just
. Since the radius is 1/2(16), or 8, the combined circumference of the two semicircles is 16
. Now, for the area of the quarter circle in the middle, we see that its radius is 16, and so its circumference is
, or
= 8
. So, the perimeter of the fountain is 16
+ 8
= 24
, or about 75.40 feet.
Hope this helped! :)