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:
18 - (-12)
Step-by-step explanation:
Final temp. - Initial temp. = the change in temperature
By -12, we're indicating that is below zero (which is obvious) meaning that it is not in the "normal" scale nor in the imaginary scale of numbers. So, we can operate the following...
18 - (-12) = 30
So the temperature changed by 30 values or the temperature increased by 30 values, because the number is positive.
15/72=5/24
Divide both by three.
:)
Answer:x=−136
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2+x=
7
8
x−15
2+x=
7
8
x+−15
x+2=
7
8
x−15
Step 2: Subtract 7/8x from both sides.
x+2−
7
8
x=
7
8
x−15−
7
8
x
1
8
x+2=−15
Step 3: Subtract 2 from both sides.
1
8
x+2−2=−15−2
1
8
x=−17
Step 4: Multiply both sides by 8.
8*(
1
8
x)=(8)*(−17)
Answer:
78.5÷3.14=25
56.272×41.2=2318.4064
429×338×712=103241424
447÷513=0.8713450292
Step-by-step explanation:
hope it will help!