Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,

Then,

As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3
Theorem:
Vertical angles are congruent.
If the angles are vertical angles, they are congruent.
Congruent angles have the same measure.
If <2 measures 31 deg, then <1 also measures 31 deg.
Answer:
x = - 71
Step-by-step explanation:
-11x -44 + 10 x =27
-x = 71
x = - 71
Answer:
3/4
Step-by-step explanation:
Given two points , we find the slope using the formula
m = (y2-y1)/(x2-x1)
= ( 5 - -1)/ ( 6 - -2)
= (5+1)/( 6+2)
= 6/8
= 3/4