Answer:
Step-by-step explanation:
A) identical triangles PSR and PSQ
B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR. so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees. the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar
C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4 then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula
c²=a²+b²
c²=4²+4²=16+16=32
c=√32=√16*2=4√2
You can use proportional reasoning to answer this question.
Set up a ratio with how far she traveled in the first 2 1/3 mins. Make is equal to x feet in 8 minutes. Solve using cross products.
<u>1r feet </u> <u> x feet</u>
2 1/3 min = 8 mins
<u>8r feet</u> = <u>2 1/3 x</u>
2 1/3 2 1/3
3 3/7r feet = x
In 8 minutes, Maggie descended 3 3/7r feet.
Answer:
B. Commutative Property of Multiplication
Step-by-step explanation:
First we define variables:
x = distance traveled by player A
y = distance traveled by player B
We have the following system of equations:
x + y = 1550
x = 9y
Solving the system we have:
x = 1395
y = 155
Answer:
x = 1395 yards (player A)
y = 155 yards (player B)