<span>m∠A = 40°
m∠B = 60°
m∠C = ?
There are 180 degrees in a triangle (not right) so you subtract both numbers by 180.
180degrees - 40 degrees - 60 degrees = 80 degrees</span>
Answer:
S = 9
L = 12
H = 15
Step-by-step explanation:
So this is a system of equations. Fist, let's set up the legs.
L is longer, S is shorter and H is hypotenuse.
S = S
L = S + 3
H = S + 6
Now what equation relates all three sides of a right triangle. Pythagorean is the most obvious so let's use that.
S^2 + L^2 = H^2
S^2 + (S + 3)^2 = (S+6)^2
S^2 + S^2 + 6S + 9 = S^2 + 12S + 36
S^2 - 6S - 27
I am going to use completing the square
(S - 3)^2 - 36 = 0
(S - 3)^2 = 36
S - 3 = +/-6
S = +/-6 + 3
S = -3 or 9
Measures can't be negative so we will use 9. Plug it back into the original 3 equations.
S = 9
L = 9 + 3 = 12
H = 9 + 6 = 15
And the pythagorean theorem
9^2 + 12^2 = H^2
225 = H^2
15 = H
So it works.
Answer:
Step-by-step explanation:
Given
See attachment for graph
From the graph
V = 20 when t = 0
This implies that:
Also:
V = 4 when t = 1.5
So:
Substitute 20 for a
Divide by 20
Take 1.5th root of both sides
--- approximated
Answer:
$64
Step-by-step explanation:
1). Two factors of -48 => x * y = -48
=> the absolute values of the two numbers may be:
48 and 1
24 and 2
16 and 3
12 and 4
6 and 8
2). Have a differencie of 19 = > x - y = 19
That makes that the numbers be + 16 and - 3
Because (+16) * (-3) = - 48
And +16 - (-3) = +16 + 3 = 19.
3) The sum of the factors is +16 + (-3) = 16 - 3 = 13.
So the answer is the option C. 13.