Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
The answer is 46°.
The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc.
That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.
Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.
Therefore it's 46.
Answer:
x=
−4y+32
9
Step-by-step explanation:
Let's solve for x.
y=
−9
4
x+8
Step 1: Flip the equation.
−9
4
x+8=y
Step 2: Add -8 to both sides.
−9
4
x+8+−8=y+−8
−9
4
x=y−8
Step 3: Divide both sides by (-9)/4.
−9
4
x
−9
4
=
y−8
−9
4
x=
−4y+32
9
I think this is the right answer.
Answer:
See in attachment and Mark as brainleist please.
To complete the square you must split the b term in half, then square that answer.
6 is the b term, half of 6 is 3, 3 squared is 9. You will add 9 to both sides of x^2 + 6x = 15
x^2 + 6x + 9 = 24
