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Flauer [41]
3 years ago
15

The relationship between time and the distance remaining one 3 mile walk for someone walking at a steady rate of 2 miles per hou

r
Mathematics
1 answer:
andre [41]3 years ago
8 0
It would take 1 1/2 hour to walk three miles.
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It is given that AB is parallel to CD and points E, G, H, and F are collinear. The measure of ZEGF is 180°, by the definition of
alex41 [277]

The completed statement filled in with the correct option is presented as follows;

It is given that AB is parallel to CD and points, E, G, H, and F are collinear. The measure of ‹EGF is 180° by the definition of a straight angle. ‹AGE and ‹AGF are adjacent, so the measure of ‹AGE plus the measure of ‹AGF equals the measure of angle ‹EGF. It can be said that the measure of ‹AGE plus the measure of ‹AGF equals 180°. <u>‹CHE and ‹AG</u><u>F</u><u> are same side interior angles</u>, so the measure of angle ‹CHE plus the measure of angle ‹AGF equals 180°.

Substituting once again means that the measure of ‹AGE plus the measure of angle ‹AGF equals the measure of angle ‹CHE plus the measure of ‹AGF. The measure of angle ‹AGE is equal to the measure of ‹CHE <u>u</u><u>sing the </u><u>Subtraction</u><u> </u><u>P</u><u>roperty of </u><u>E</u><u>quality</u>. Finally, by the definition of congruency, ‹AGE is congruent to ‹CHE

The correct option is therefore;

  • ‹CHE and ‹AGE are same side interior angles; using the Subtraction Property of Equality

<h3>What relationships between angles formed by parallel lines can be used to complete the paragraph?</h3>

Angles, ‹CHE and ‹AGF are angles formed on the same side of the common transversal, EF, and are formed on the interior part of AB and CD.

Given that ‹CHE and ‹AGF are both on the line FGHE, and together with ‹CHF and ‹AGE form two linear pair angles, ‹CHE and ‹AGF are supplementary angles and add up to 180°.

According to the substitution property of equality, both sides of an equation remain equal following the subtraction of the same quantity from both sides.

Given that we have:

‹AGE + ‹AGF = ‹CHE + ‹AGF

Subtracting ‹AGF from both sides gives;

‹AGE = ‹CHE (subtraction property of equality)

Learn more about the angles formed by parallel lines here:

brainly.com/question/17430387

#SPJ1

3 0
1 year ago
Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
taurus [48]
I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
4 0
3 years ago
Can someone find the surface area for this? :)
AysviL [449]

Answer:

84 :)

Step-by-step explanation:

bottom surface area= 6m^{2}

top surface area=6m^{2}

lateral surface area= 72m^{2}

add this together you get TOTAL surface area of 84

3 0
3 years ago
Read 2 more answers
Fill in the missing number to name a fraction equivalent to 8/3
Sauron [17]
Please provide the other fraction so we can give you the right number or at least a picture.
7 0
2 years ago
gaby buys a new bookshelf. there are 8 shelves she put 15 books on each shelf, how many books does gaby have in all ?
Lynna [10]
The answer is she has 120 books
8 0
2 years ago
Read 2 more answers
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