Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
Answer: 15 Inches
Step-by-step explanation:Remember that the Perimeter of a rectangle is the distance around it.
So,
Perimeter = Length + Width + Length + Width
or
P = 2L + 2W
If P=42 inches and W = 6 inches,
42 = 2L + 2(6)
42 = 2L + 12
30 = 2L [subtract 12 from both sides]
15 = L [divide both sides by 2]
The length (L) is 15 inches.