We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.
Distribute and multipy out:
(x − 9)(x − 1)
x * x = x²
x * -1 = -x
x * -9 = -9x
-9 * -1 = 9
Add together:
x² + -x + -9x + 9
x² − 10x + 9
Use the Reflexive property:
x² − 10x + 9 = x² − 10x + 9 ✓
The expression would add 6d+7 and 10d+10.
So…
6d+7+10d+10
We add like terms which would be (7 and 10) and (6d and 10d)
7+10 is 17
6d+10d is 16d
So the answer would be
16d +17
Answer:
Q=91, S = 153
Step-by-step explanation:
QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.
Answer:
4
Step-by-step explanation:
The mean is defined as adding all the numbers up and dividing by how many numbers there are, so:
3+8+2+2+5 = 20, 20/5 = 4