12 × 5 = 60
12 nickels
10 × 2 = 20
2 dimes
60 + 20 = 80
We know that
If two triangles are similar the corresponding angles must be congruent.
therefore
triangle N must have an angle of 32° and 93°
the answer is
angle measure of 32° and angle measure of 93°
Answer:
They have the same slope of 2 and are, therefore, parallel.
Step-by-step explanation:
Given: Equation of FG is
and equation of EH is 
To find: Relation between segments FG and EH
Solution:
Slope of a line describes its direction and the steepness.
Two lines are said to be parallel if their slopes are equal.

Differentiate with respect to x

where
denotes the slope of the line FG

Differentiate with respect to x

where
denotes slope of line EH
As
, lines are parallel
Out of the given choice, the equation represents
.
Answer: Option B
<u>Step-by-step explanation:</u>
We know, 

Given data:

So, now sin theta can express as

Sin theta defined by the ratio of opposite to the hypotenuse. In general, the adjacent can be calculated by,



Taking square root, we get

Also, we know the formula for cot theta,

Cos theta denoted as the ratio of adjacent to the hypotenuse.

Therefore, find now as below,

Total distance covered;
For Paul;
sxt=distance
90*t= d
For mary;
s*t=d
70*(t+1)=d
70t+70=d
Since they cover same distance;
70t+70=90t
Putting like terms together;
70=90t-70t
70=20t
t=70/20
t= 3 and 1/2 hours