Answer:
12
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer: 3
Discussion:
The perimeter of a polygon is the sum of the side lengths.
Perimeter of top polygon is (x+2) + 2x + (x + 2) + (4x + 1) = 8x + 5
Perimeter of bottom triangle is 4x + 2x + (3x+2 ) = 9x + 2
The perimeters are the same when
8x + 5 = 9x + 2
Subtract 8x from both sides:
5 = (9x - 8x) + 2 or
5 = x + 2
Subtract 2 from each side to get x = 3:
5 -2 = 3 = x
The perimeter of either figure is 29
Regards, MrB
<span>A.three sides measuring 9 meters, 5 meters, and 5 meters
--> only one isosceles triangle
B.three sides measuring 6 inches, 3 inches and 9 inches
--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.
C.three angles measuring 25°, 25°, and 130°
--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles
D.three angles measuring 55°, 25°, and 125°
--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.
</span>
Answer:
x = 12
Step-by-step explanation:
Angle Bisector Theorem: PS / PQ = RS / QR
24/14 = x/7
cross-multiply:
14x = 168
x = 12
