Answer:
The perimeter of triangle PQR is 17 ft
Step-by-step explanation:
Consider the triangles PQR and STU
1. PQ ≅ ST = 4 ft (Given)
2. ∠PQR ≅ ∠STU (Given)
3. QR ≅ TU = 6 ft (Given)
Therefore, the two triangles are congruent by SAS postulate.
Now, from CPCTE, PR = SU. Therefore,
Now, side PR is given by plugging in 3 for 'y'.
PR = 3(3) - 2 = 9 - 2 = 7 ft
Now, perimeter of a triangle PQR is the sum of all of its sides.
Therefore, Perimeter = PQ + QR + PR
= (4 + 6 + 7) ft
= 17 ft
Hence, the perimeter of triangle PQR is 17 ft.
Answer: 4
<u>Step-by-step explanation:</u>
3(x) : 8
<u> *2 </u>: <u> *2 </u>
= 24 : 16
⇒ 6x = 24
⇒ x = 4
Answer:
The new area is 1800feet^2
Step-by-step explanation:
Step one:
Given data
The length and width or a rectangular courtyard is 40 feet and 30 feet
we can calculate the area of the courtyard as
Area= 40*30
Area= 1200 feet^2
when the extra 15 feet is added to the width
the new width is= 30+15= 45feet
The new area is
Area= 40*45
Area= 1800 feet^2
in all the area will increase by 1800-1200= 600feet
Answer:
8 costumes
Step-by-step explanation:
Take the total amount of fabric and divide by the amount per costume
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2 *4
8
She can make 8 costumes
Answer:
-3.5
Step-by-step explanation:
To find the slope we use
m = (y2-y1)/(x2-x1)
= (-15-20)/(-6 - -16)
=(-15-20)/(-6+16)
-35/10
= -3.5
