Answer:
QS = 34
Step-by-step explanation:
if R is the midpoint, then the two divided segments are equal to each other.
5x - 3 = 21 - x
Add x
6x - 3 = 21
Add 3.
6x = 24
Divide 6.
x = 4
Substitute this x value into any equation.
5(4) - 3 = 20 - 3 = 17
So half of QS is 17.
QS = 17 * 2 = 34
Answer:
A" (3,3)
B" (3,5)
C" (5,7)
D" (5,1)
Yes they are congruent as they are similar and have the same shape and size.
Step-by-step explanation:
-y,x is the formula for a 90° counter clockwise rotation, And since the shape nor size doesnt change it is congruent.
Answer: The base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
Answer:
$7.5
Step-by-step explanation:
3/.4
X = arctan(32/19)
x = 59.30 degrees.
You don't say if the answer needs to be rounded, so round it as needed.