Answer:
The lengths of the bases are 9 inches and 15 inches.
Step-by-step explanation:
The area of trapezoid is

Given that the height of a trapezoid is 8 in. and its area is 96 in².
Assume the bases of the trapezoid be b₁ and b₂.
Since one base of the trapezoid 6 in. longer than the other.
Let, b₁=b₂+6
The area of the trapezoid is
in²
in²
in²
According to the problem,

[ Multiplying
]





Then, 
=9+6
=15 in
The lengths of the bases are 9 inches and 15 inches.
Answer:

Step-by-step explanation:
Divide the composite shape into two shapes, a rectangle and a triangle.
We can see that the rectangle has dimensions of 3 x 2.
We can use the area formula.



We can also see that the triangle has a height of 3 and a base of 1 (3 - 2).
We can use the area formula.



Now we can add these areas together.

Step-by-step explanation:
A diameter spans from one end of (in this case, a circle) to the direct opposite end, going through the center-point. The radius, on the other hand, is half of a diameter, and spans only from the center-point to a point on the circle.
In this case:
1) Diameter = 18 km (given)
Radius = 18/2 = 9 km
2) Diameter = 1 x 2 = 2 m
Radius = 1 m (given)
3) Diameter = 17 x 2 = 34 cm
Radius = 17 cm (given)
4) Diameter = 50 mm (given)
Radius = 50/2 = 25 mm
John has a swimming pool, in which the center of the pool to the edge is 3 meters. What is the diameter? Simply multiply 3 with 2:
3 x 2 = 6 meters
6 meters is the diameter.
Answer:
Subtract 63 from both sides
Step-by-step explanation:
we always have to try to clear the incognita that in this case is going to be h
First we
Subtract 63 from both sides
then
Divide by -7 on both sides
19 - 7h = 63
19 - 7h - 19 = 63 - 19
- 7h = 44
-7h/-7 = 44/-7
h = -44/7
Answer:
The correct statements are:
1: mEFD = mEGD
3: mED = mFD
5: mFD = 120°
Step-by-step explanation:
Let's analyse each statement:
1: mEFD = mEGD
Let's find the value of the angle ECD, using the sum of the internal angles of a quadrilateral:


The angle ECD is a central angle, related to the arc ED, so the arc ED also has 120°.
The angle EFD inscribes the arc ED, so we have:


So the angles mEFD and mEGD are equal. The statement is TRUE.
2. mEGD = mECD
This statement is FALSE, because mEGD = 60° and mECD = 120°
3. mED = mFD
If mED is 120° and mEF = mFD, we have:



So the statement is TRUE, both arcs have 120°.
4. mEF = 60°
This statement is FALSE, because we calculated before that mEF = mFD = 120°
5. mFD = 120°
This statemente is TRUE, because we calculated before that mFD = 120°.
So the correct statements are 1, 3 and 5