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schepotkina [342]
2 years ago
7

Write an equation that represents the following statement. Five less than the product of r and two is 3.

Mathematics
1 answer:
liraira [26]2 years ago
4 0
Your equation should be 5 - r + 2 = 3.
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Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set (99
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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
Digiron [165]

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = \frac{AP}{2}

QB = \frac{AP}{2}

Substituing:

AP + 2*(\frac{AP}{2}) = a

2AP = a

AP = \frac{a}{2}

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = \frac{AP}{2}

QB = \frac{a}{2}*\frac{1}{2}

QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

4 0
3 years ago
Which statement is true about Angle B P D? Line A B intersect line C D at point P. It is adjacent to Angle A P C. It is compleme
mel-nik [20]

Answer:

It is congruent to Angle A P C

Step-by-step explanation:

we know that

<u><em>Vertical angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.

In this problem we have that

m\angle APC=m\angle BPC -----> by vertical angles

see the attached figure to better understand the problem

therefore

It is congruent to Angle A P C

7 0
3 years ago
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