Answer:
<em>x = 45°</em>
Step-by-step explanation:
<u>Congruence of Angles:</u>
Linear angles are those consecutive angles formed when two lines cross. Their sum of linear angles is 180°.
Corresponding angles are those which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent.
From the provided figure, angles y and 3x-60 are linear, thus:
y + 3x - 60 = 180
y = 180 - 3x + 60
y = 240 - 3x
Also, being p and q parallel lines, angles y and 2x+15 are corresponding, thus:
240 - 3x = 2x + 15
Adding 3x:
240 = 2x + 3x + 15 = 5x + 15
Subtracting 15:
240 - 15 =5x = 225
Dividing by 5:
x = 225 / 5 = 45
x = 45°
Replace each letter with it's value, so:
= (5*-2) + (-3*2) + 3
= -10 -6 +3
= -13
Answer:
32
Step-by-step explanation:
25% of 32 is 8
Answer:
y=2(4^x)
Step-by-step explanation:
if you notice, all the y-values are multiplied by 4 for each x-value. this means 4 is raised to the power of x. however, when you plug this in, you realize that the value produced is only half the actual y-values, so you multiply this whole thing by 2.
y=2(4^x)
To find volume, multiply length x width x height.
4 1/2 x 5 x 3 1/4
4.5 x 5 x 3.25 = 73.125
1/4 = 0.25
Divide the total of the large cube to the small cube.
73.125/0.25 = 292.5
292 and 1/2 of the small cube(s) are needed to fill the right rectangular prism.
hope this helps
