Answer:
7
Step-by-step explanation:
Answer:
y=10x
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
y−y1=m(x−x1) to find the line parallel to y=10x−45
.
Answer:
m∠1 = 92°
Step-by-step explanation:
∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that
m∠2 + m∠3 = 73° +107° = 180°
so, the angles are supplementary and lines a and b are parallel.
Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.
m∠1 = m∠4 = 92°
Answer:

Step-by-step explanation:
Given that,
Base = 42
Perpendicular height = 31
We need to find the value of
. It can be calculated using trigonometry as follows :

Put all the values,

So, the value of
.
Number of dimes: x
Number of quarters: x + 3
Answer:
B ) 0.10 x + 0.25 ( x + 3 ) = $1.80
Also we can solve this equation:
0.10 x + 0.25 x + 0.75 = 1.80
0.35 x = 1.80 - 0.75
0.35 x = 1.05
x = 1.05 : 0.35
x = 3, x + 3 = 6
He has 6 quarters and 3 dimes.
( 6 * 0.25 + 3 * 0.10 = 1.50 + 0.30 = $1.80 - correct)