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Murljashka [212]
1 year ago
10

I need help with math

Mathematics
1 answer:
Bogdan [553]1 year ago
3 0

A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
  2. Vertical angles are equal to vertically opposite angles.
  3. Interior angles that alternate are equal.
  4. The exterior angles that alternate are equal.

For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

To know more about the parallel lines, here

brainly.com/question/4954460

#SPJ1

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General formula for area of triangle is A=\frac{h_bb}{2}.

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Multiplying h_b and b results in rectangle, dividing that by 2 gives you area of a triangle.

Hope this helps.

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Hazel knits 5 centimeters of scarf eachnight. After 5 nights of knitting, how manycentimeters of scarf will Hazel have knit into
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Answer:

Hazel will have knitted 25 centimeters of the scarf

SOLUTION

Problem Statement

We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.

Solution

We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.

Let us count for each night.

Night 1:

Hazel makes 5 centimeters of the scarf.

Night 2:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}

Night 3:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}

NIght 4:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}

NIght 5:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}

Final Answer

Thus, Hazel will have knitted 25 centimeters of the scarf

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Marley runs 5 yards down the track from point A to point B, and then stops and runs
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\sqrt{61}=AC or 7.8102=AC

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If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

61=AC^{2}

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