Answer:
ΔDAE
Step-by-step explanation:
Complementary = 90°
ΔBAC has a right angle, which makes it 90°. Since ΔDAE also has a right angle, it would be complementary to ΔBAC.
Answer:
x=6
Step-by-step explanation:
2(3x+4)=5x+3x-4
combine all like terms and distribute
6x+8=8x-4
-8 -8
6x= 8x-12
-8x -8x
-2x= -12
x= 6
Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
Let s be standard and h be high-quality versions of the song.
To figure this out, let's make a system of equations:
2.5s + 4.5h = 5740
h = 4s
First substitute the second equation into the first for h.
2.5s + 18s =5740
Then combine like terms.
20.5s = 5740
Lastly, divide each side by 20.5 to get the number of standard downloads:
s = 280
Hope this helps!
Answer:
○ A. No, x = -6 is not a zero of the polynomial.
The quotient is x - 29, and the remainder is 234.
Step-by-step explanation:
[x - 3][x - 20] >> Factored Form
Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of <em>x = -6</em> into its conjugate, meaning an expression with opposite signs, which is <em>x + 6</em>. This is the expression we divide the dividend by, so you will have this:
\frac{{x}^{2} - 23x - 60}{x + 6}
Since the divisor is in the form of <em>x - c</em>, using Synthetic Division, we get this:
x - 29 + \frac{234}{x + 6}
You see? You have <em>x - 29</em> in the quotient, and you have 234 as the numerator remainder.
I am joyous to assist you anytime.
