Answer/Step-by-step explanation:
9. 17x = 16x + 5 (alternate exterior angle)
17x - 16x = 5
x = 5
Measure of bolded angle = 17x = 17 * 5 = 85
10. 21x - 6 = 20x (corresponding angels)
21x - 20x = 6
x = 6
Measure of bolded angle = 20x = 20(6) = 120
11. (x + 95) + (x + 105) = 180 (linear pair angles)
2x + 200 = 180
2x = 180 - 200
2x = -20
Divide both sides by 2
x = -10
Measure of bolded angle = x + 105 = -17 + 105 = 88°
12. 12x - 4 = 11x + 3 (vertical angles)
Collect like terms
12x - 11x = 4 + 3
x = 7
Measure of bolded angle = 11x + 3 = 77 + 3 = 80°
Answer:
2.7 square inch
Step-by-step explanation:
By area of similar triangle theorem:
1) find a square that when u multiple with something else to get 200
<span>one would be 25 (25 x 8) </span>
<span>2) youd get the square root of 25 times the square root of 8 </span>
<span>the square root of 25 is 5 so it would be 5 times the square root of 8 </span>
<span>3) so now your left with 5 times the square root of 8 </span>
<span>like step one you find a square that you can multiple with something else to get 8 </span>
<span>one would be the square root of 4 times 2 </span>
<span>4) the square root of 4 would be 2 </span>
<span>so now ur left with 5 times 2 times the square root of 2 </span>
<span>5) since there are no more squares when multiplied to get 2 besides 2 and 1 so ur answer is... </span>
<span>10 times the square root of 2 </span>
Answer:
12 * 2 + x * 2 = 54
x = 15
x is 15
Step-by-step explanation:
12 * 2 + x * 2 = 54
24 + x * 2 = 54
-24 -24
x * 2 = 30
/2 /2
x = 15