Answer:
Step-by-step explanation:
Answer:
f(g) = -15x^2 + 15x + 2.
g(-2) = 18.
Step-by-step explanation:
f(g) = -5(3x^2 - 3x) + 2
= -15x^2 + 15x + 2.
g(-2) = 3(-2)^2 - 3(-2)
= 12 + 6
= 18.
Answer:
4th option
Step-by-step explanation:
The chord- chord angle 67.5° is half the sum of the arcs intercepted by the angle and its vertical angle, that is
67.5 = 
(x + 90)
The formula is
A=p (1+r)^t
A future value?
P present value 160000
R interest rate 0.16
T time 3years
A=160,000×(1+0.16)^(3)
A=249,743.36
Use that future value to find the present value at a rate 8% compounded annually
To find p (present value) solve the formula for p
P=A÷ (1+r)^t
Where r is 0.08
P=249,743.36÷(1+0.08)^(3)
p=198,254.33
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.
