We must know that the are of the triangle is given by definition by
A = (1/2) * (b) * (h)
where
b = base
h = height
Substituting the values
A = (1/2) * (x) * (1 + 6x)
A = (1/2) * (x + 6x ^ 2)
Since the area is 13 then
(1/2) * (x + 6x ^ 2) = 13
Clearing x we have
6x ^ 2 + x = 26
6x ^ 2 + x-26 = 0
(x-2) * (x + 13/6) = 0
As we look for the base of a triangle then x> 0
x = 2
answer
the base is x = 2
6x ^ 2 + x = 26
She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.
<h3>What is a circle?</h3>
It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.
The area of the circle is given by

We have d = 7 ft, then the area of the circle will be

More about the circle link is given below.
brainly.com/question/11833983
1 : 1.71 : 2.43
Step-by-step explanation:
What divided by 7= 1?
7/7 = 1
So use that answer for the other two dolls.
12/7 = 1.71
17/7 = 2.43
1 : 1.71 : 2.43
Have the same ratio as
7 : 12 : 17
Answer:
8th term = 61
Step-by-step explanation:
See attached image
In an isosceles trapezoid, the two diagonals are congruent.
Therefore SV=TU, or 3x-11=x+13
Solve for x in
3x-11=x+13
subtract x-11 from either side to isolate x,
3x-x=13+11
2x=24
x=12
Check: SV=3(12)-11=25 = (12)+13 = TU, ok.
Answer: x=12