Answer:
A. 5x^2 − 2x − 24 = 0
Step-by-step explanation:
height = 5b-2
b =x
We can rewrite the height as
h = 5x-2
We know the formula for area of a triangle
A = 1/2 bh
A =1/2 x * (5x-2)
Distributing the x
A= 1/2 (5x^2 - 2x)
We know A =12
12 = 1/2 (5x^2 - 2x)
Multiply each side by 2
12*2 = 2*1/2 (5x^2 - 2x)
24 = 5x^2 - 2x
Subtract 24 from each side
24-24 = 5x^2 - 2x-24
0 = 5x^2 - 2x-24
Answer:
C. 21°
Step-by-step explanation:
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
(Angle bisector theorem)
Answer:
7/15
Step-by-step explanation:
7 boxes out of 10 contain $20. Therefore 3 boxes do not have $20 bills.
The probability of picking a bag with a $20 bill
= 7/10
The probability of picking another bag with $20 bill
= (7-1)/(10-1)
= 6/9
The probability of getting two $20 bills.
= 7/10 × 6/9
= 42/90
= 7/15
Answer:
I'm not fully sure but id say the principle value would be choice C
Step-by-step explanation: