So 8x+4+4x+8=15x-9
Combine like terms.
12x+12=15x-9
Add 9 to both sides.
12x+21=15x
Subtract 12 from both sides.
21=3x
Divide both sides by 3.
x=7
Now plug in 7 for x in 8x+4.
8(7)+4
56+4
=60
<span>X+2a = 16+aX-6a
8X - 16 = aX-2a
8(X-2) = a(X-2)
</span><span>(X-2)/<span>(X-2)</span> = a/8
1 = a/8
a= 8
</span>
The height is around 4.77 mm
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
The measure of the sides is 20 cm.
Step-by-step explanation:
Opposite side of a parallelogram:
Opposite sides of a parallelogram are congruent, that is, they have the same measure.
Measures (2x+10) cm and (x+15) cm:
This means that:
2x + 10 = 2*5 + 10 = 10 + 10 = 20
The measure of the sides is 20 cm.
