Equilateral triangles have three equal angles, so we right away know that x=60º. Then, we just solve (3(60)-70)º, which is 110º, for the answer.
So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y
she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve
we have
180=3x+2y and
x=15+y
subsitute 15+y for x
180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y
solve for x
x=15+y
x=15+27
x=42
she spent $42 on each sister
When a line passes through the two points 
, its slope is given by the formula 
In this question, a line L passes through the points 
So, its slope is given by 
When two lines are perpendicular, then the product of their slopes is -1.
Since, the slope of the line L is 
, so the slope of the line which is perpendicular to the given line L is 
as the product of 
.
Answer:
<u>The altitude or height of the triangle is 6 meters.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Area of a triangle = 60 m²
Base = 20 m
2. What is the altitude (h) of the triangle?
Let's recall that the formula of the area of a triangle is:
Area = (Base * Height)/2
Replacing with the real values, we have:
60 = (20 * Height)/2
60 * 2 = (20 * Height) (Multiplying by 2 at both sides)
120 = 20 Height
Height = 120/20 = 6 meters
<u>The altitude or height of the triangle is 6 meters.</u>
Answer:i might be wrong but i believe its b
Step-by-step explanation:
