Answer:
A
Step-by-step explanation:
O = 26.6
P is a right angle so:
P = 90
angles PQO = 180
To determine Q: triangle total - (P + O)
180 - (90 + 26.6)
180 - 116.6 = 63.4
Q = 63.4
To determine side lengths: a^2 + b^2 = c^2
4^2 + b^2 = c^2
*Variable c is always hypotenuse*
Need more information so find either b or c through SOH, CAH, TOA
SOH: sine = opposite/hypotenuse
CAH: cos = adjacent/hypotenuse
TOA: tan = opposite/adjacent
tan26.6/1 = b/4
Cross multiply
1 × b = 4 × tan26.6
b = 4tan26.6
b = 2.003050791
b is about 2
b = PQ
PQ = 2
Plug b value into pythagorean theorm
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
square root of 20 = square root of c^2
4.47213.... = c
c is about 4.47
c = QO
Step-by-step explanation:
Swap x and y
Answer:
56 = 56
Step-by-step explanation:
Given:
Bus fare = $2.00
coupon book = 28.00
bus fare w/ coupon book = $1.00
let x be the number of bus rides.
2.00x = 1.00x + 28.00
2.00x - 1.00x = 28.00
1x = 28.00
x = 28.00
24 bus rides for both to have the same cost.
2.00x = 1.00x + 28
2.00(28) = 1.00(28) + 28
56 = 28 + 28
56 = 56
The most important thing that you have to know is that all angles in a triangle equals 180°
This is false... you can get an easy example: (-2) + (10) = 10 - 2 = 8
