Answer:
B
Step-by-step explanation:
∠ ABC = 9x + 5 ( alternate angles )
∠ ABC and ∠ DCB are sam- side interior angles and sum to 180° , that is
9x + 5 + 16x = 180
25x + 5 = 180 ( subtract 5 from both sides )
25x = 175 ( divide both sides by 25 )
x = 7
Then
∠ ABC = 9x + 5 = 9(7) + 5 = 63 + 5 = 68° → B
-5x +2/9 +2x- 2/9 =7/9
collect like terms
-3x+0=7/9
cross-multiply
-27x=7
solve for x
x=-7/27
1. Use the Pythagorean Theorem because this is a right triangle:
a^2 + b^2 = c^2
34^2 + 23^2 = c^2
√ 1685 = c
c = 41
answer: 41
(original-new)/original *100% decrease
(6995-6495)/6995 *100%
500/6995*100%
7.14796%
To the nearest whole percent
7% decrease
Answer:
D. 4
Step-by-step explanation:
Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.
Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.
Hope this helped!
