Step-by-step explanation:
Triangles ABC and DEF are congruent.
The letter B is the 2nd letter in 'ABC'.
Likewise, the letter E is the 2nd letter in 'DEF'.
Therefore Angle B = Angle E.
you divide 72 by 2 to get r by itself and get 36
so r=36
For the first one, it's Theodore and Smith!
Theodore got 3 apples out of 33 students, which is 1 apple per 11 students when simplified.
Smith got 2 apples out of 22 students, which is also 1 apple per 11 students. Both equations are 1:11 when simplified!
For the second question, it's Lexus and Fiat. They look different, but when simplified, they're both 8:1!
Answer:
The value of y is 3.
Step-by-step explanation:
Given points: P(12,-2), Q(5,-10), R(-4,10) and S(4,y).
We need to find the value of y so that line PQ is perpendicular to line RS.
Slope formula:
Slope of PQ is
Slope of RS is
The product of slopes of two perpendicular lines is -1.
Add 10 on both sides.
Therefore, the value of y is 3.
You use a modification of the pythagorean theorem to find
pythagoreas c^2=a^2+b^2
the easy way is you use the equation
so input in format (x,y) then
(2,2)
(7,5)
x1=2
y1=2
x2=7
y2=5
the distance is 5 units