Answer:
The measure of Angle A is 45.5 degrees
Step-by-step explanation:
In order to find the measure of the angle A, add it to the measures of angle B and C. Since it is an isosceles triangle, we know that B and C have the same measure. Then we set this equal to 180.
A + B + C = 180
2x + 4 + 3x + 5 + 3x + 5 = 180
8x + 14 = 180
8x = 166
x = 20.75
Now we can find the measure of Angle A by putting the value of x in for x.
2x + 4 = A
2(20.75) + 4 = A
41.5 + 4 = A
45.5 = A
Answer:
$79.7
Step-by-step explanation:
Total income is $(234.8 + 64 + 20) = $318.8
Now, One-fourth of her income is budgeted for car insurance i.e. 
dollars.
And, 1/10 of her income is budgeted for gasoline i.e. 
dollars.
Finally, 2/5 of her income is budgeted for savings i.e. 
dollars.
Therefore, the remaining amount of her income = $(318.8 - 79.7 - 31.88 - 127.52) = $79.7 is left for her spending. (Answer)
6/7
Hope it helps Love.
-Joker7721
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
Step-by-step explanation:
From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.
