167 is the volume of the prism
Answer:
x = -10
Step-by-step explanation:
expand
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
Answer:
y = 5/8 x -2
Step-by-step explanation:
Given that the slope of the line, m=5/8, which passes through the point (-8,-7).
Let the equation of the line be y=mx+c
where m is the slope of the line and c is a constant.
As m=5/8, so the equation of line become
y= 5/8x+c
As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have
-7 = 5/8(-8)+c
-7 = -5 + c
c= -7 + 5
c= -2
On putting the value of c, the equation of line become
y=5/8 x -2
Hence, the equation of the line is y = 5/8 x -2.
Answer:
8 units
Step-by-step explanation:
Answer:
Step-by-step explanation:
Angle ADC and angle CDJ are complementary. That means that they add up to equal 90 degrees. Therefore,
4x + 3x - 8 = 90 and
7x = 98 so
x = 14
Sub in a 14 for x in 3x - 8:
3(14) - 8 = 34
Angle CDJ = 34 degrees
