Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
5/8
Step-by-step explanation:
3/4 - 1/8
We need to get a common denominator
3/4 *2/2 = 6/8
6/8 - 1/8
5/8
The scale of the map from inches to miles is 1 inch : 9 miles
<h3>How to determine the scale of the map from inches to miles?</h3>
The given parameters are:
- The actual distance of the cities apart = 36 miles
- The scale distance of the cities apart = 4 inches
The scale of the map from inches to miles is represented as:
Scale of map = The scale distance of the cities apart : The scale distance of the cities apart
Substitute the known values in the above equation
Scale of map = 4 inches : 36 miles
Divide both sides of the ratio by 4
So, we have:
Scale of map = 4/4 inches : 36/4 miles
Evaluate the quotient
Scale of map = 4/4 inches : 9 miles
Evaluate the quotient
Scale of map = 1 inch : 9 miles
Hence, the scale of the map from inches to miles is 1 inch : 9 miles
Read more about scale drawing at:
brainly.com/question/15891755
#SPJ1
Answer:
88%
Step-by-step explanation:
Move the decimal two times to the right and add a percent sign.
Answer:
The answer to your question is ∠3 = 63°
Step-by-step explanation:
Data
∠2 = 117°
∠3 = x
Process
1.- Angles 2 and 3 are supplementary which means that their addition gives 180°.
So,
∠2 + ∠3 = 180
Substitution
117° + ∠3 = 180°
Solve for ∠3
∠3 = 180° - 117°
Simplification and result
∠3 = 63°
