9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.
<u>Using ∆ABD</u>
55 +90 +2x+3 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆BCD</u>
50 +90 +2x+8 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆ABC</u>
55 +(2x +3) +50 +(2x +8) = 180
4x = 64 . . . . . . . subtract 116
x = 16
The answer 4x^2-5=20 i just took the test
MSRP is the term recomended by manufacturers.
Answer:
It's the second option, a-5
1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.
In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.
4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40
This yields x = 5 cm
2) set up a proportion, similar to the first question.
(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10
the length of BC is (x + 4) + (2x + 1) = 3x + 5
this means BC = 35
