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Anna007 [38]
3 years ago
14

Someone please help me with these Geometry questions.

Mathematics
1 answer:
AnnZ [28]3 years ago
6 0
<h3>Answer: 112.5 square units</h3>

Work Shown:

A = area of the triangle

A = base*height/2

A = 9*7/2 = 63/2 = 31.5 ... see note1 below

B = area of rectangle

B = base*height

B = 9*3 = 27

C = area of parallelogram

C = base*height .... see note2 below

C = 9*6 = 54

If you're confused where I got the 6 from, check out the attached image below.

D = total area of the composite figure

D = A+B+C

D = 31.5 + 27 + 54

D = 112.5

-------------------------

note1: The vertical component of the triangle is 9 units because this is part of the rectangle. The rectangle has opposite sides that are the same length. The parallelogram's vertical sides are 9 units long as shown by the single tickmark.

note2: a rectangle is essentially a special case of a parallelogram. In other words, a rectangle is a parallelogram with 4 right angles. So this is why the formula "area = base*height" shows up identical for both rectangles and parallelograms. Keep in mind that the height is always perpendicular to the base. You will not use the segments marked with double tickmarks.

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If M is the midpoint of PQ and X is the midpoint of PM then PX = a PQ Which statement is True? a is equal to 1 a is equal to 1/2
garik1379 [7]

Answer:

D. a is equal to  \frac{1}{4}

Step-by-step explanation:

Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.

Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.

Then;

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Therefore, a must be equal to \frac{1}{4}, so that;

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6 0
3 years ago
An emu that measures 22 inches in height is 14 inches less than 2 times the height of a stuffed toy canary. What is the height o
OlgaM077 [116]

Answer:  The height of the stuffed toy canary is 18 inches so Jesus is right.

Step-by-step explanation:

We can represent the first statement by the equation  22= 2x - 14    where x is the height of the stuffed toy canary  so solve for x

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4 0
3 years ago
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Given:
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Weight of sample board: 1/5 lbs

We need to get the weight of the whole square foot.

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Rules of dividing fractions:
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1) Get the reciprocal of the 2nd fraction. 1/5 ⇒ 5/1

2) Multiply 1st fraction to the reciprocal of the 2nd fraction
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3) Simplify fraction.
5/3 is an improper fraction. To simplify it, it needs to become a mixed fraction.

5/3 = 1 2/3 pounds.



8 0
3 years ago
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