Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
The square root of -5
2.23606798
or
-2.23606798
This question is referred to two similar triangles.
One triangle has sides x and x - 2.
The other triangle has the respective sides x + x + 5 and x - 2 + x + 1
Then you can state a proportionality relation between the sides>
[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]
=> [2x + 5] / x = [2x - 1] / [x - 2]
=> (2x + 5)(x - 2) = (2x - 1)x
=> 2x^2 - 4x + 5x - 10 = 2x^2 - x
=> x - 10 = - x
=> 2x = 10
=> x = 10 / 2
=> x = 5
Answer: x = 5
Answer:
48 is your answer.
Step-by-step explanation:
What you want to do is follow PEMDAS.
Parenthesis are first. You will subtract 32 and 8 to get 24.
6 x [(24)/4+2] You will then divide 24 and 4 to get 6.
6 x[6+2] you will then add 6+2 to get 8.
6 x 8 = 48 is your answer.
Answer:
A
Step-by-step explanation:
At the rate of 20 miles per hour, the car will travel 20 miles every 60 minutes, or a third of a mile every minute. This means that it will travel a mile in 3 minutes. For the car travelling at 30 miles per hour, it will travel half a mile every minute, or a mile every 2 minutes. 3-2=1 minute, or choice A. Hope this helps!
