Answer:
x = 8
Step-by-step explanation:
m<PQR = (2x + 6)°
m<RPQ = (x - 7)°
m<QRS = (5x - 17)°
<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.
Therefore,
m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)
Substitute in the values
2x + 6 + x - 7 = 5x - 17
Add like terms
3x - 1 = 5x - 17
Collect like terms
3x - 5x = 1 - 17
-2x = -16
-2x/-2 = -16/-2
x = 8
Hello, here is the answer!
Answer: 375
Step-by-step explanation: 7+8=15
15x25=375
375 paper clips
Answer:
first triangle (to left) b=8, second one c=17
Step-by-step explanation:
for the first triangle (one to the left) the hypotenuse is 9, so let's use the pythagorean formula.
A^2 + B^2 = C^2
^ ^ ^
^ ^ Hypotenuse
^ second side
first side
Substitute:
5^2 + b^2 = 9^2
SImplify:
25+b^2 = 81
Reduce:
b^2 = 64
Simplify:
b=8
In the second triangle, we are given 2 sides.
Let's do the same thing we did in the first one.
Givens:
A = 8
B = 15
Find:
C
Substitute:
8^2 + 15^2 = c^2
Simplify
64 + 225 = c^2
Reduce:
289 = c^2
Let's now square root both sides
square root of 289 is 17
so we are left with this:
c=17
Phew, you did it!
Hope this helped :))
The result is 1/3 (-6 + x)
Answer:
1 ft 2 in
Step-by-step explanation:
Subtract each foot and each inch
