Answer:
Area of the figure = 36 in²
Step-by-step explanation:
Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE
Area of rectangle ABCE = Length × Width
= AB × AC
= 6 × 8
= 48 in²
Area of triangle CDE = 
= 
= 12 in²
Now area of the composite figure = 48 - 12
= 36 square inch
Answer:
Exterior angles are the ones on the outside and same side means they sit on the same side of the bisector so your answer is 1 and 8
Step-by-step explanation:
Let points R, S, T be the midpoints of segments AC, AB, and CB.
Triangle midline theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to and half the length of the third side.
Thus, the midline RS (where R is a midpoint of AC and S is the midpoint of AB) is parallel to BC and is half the length of the side BC:
Answer: correct choice is A
9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
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<em>Additional comment</em>
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
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Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
Answer:
625 cubic feet
Step-by-step explanation:
Given data
Base area= 125 square feet
Height = 15feet
The expression for the volume of a pyramid is given as
V= a^2*h/3
but a^2= 125 square feet
V= 125*15/3
V= 1875/3
V=625 cubic feet
