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AURORKA [14]
4 years ago
8

FAST PLEASE HELP ME Which equation should be used to imply that l and p parallel?

Mathematics
1 answer:
Westkost [7]4 years ago
5 0

Answer:

(3x+14)+(8x-21)=180°

Step-by-step explanation:

Angles with measures 3x+14 and 8x-21 (or pmore precisely, vertical angle to angle 8x-21) are supplementary (add up to 180°).

Converse to same-side interior angles theorem states that If two same-side interior angles are supplementary, then l║p.

So, to prove that lines l and p are parallel, you have to show that angles 3x+14 and 8x-21 are supplementary.

Thus,

(3x+14)+(8x-21)=180°

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What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of
mote1985 [20]

Answer:

<1  and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm

8 0
3 years ago
Find the area of the shaded segment of the circle.
vredina [299]

Answer:

Around 5.5 square meters

Step-by-step explanation:

You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula \frac{1}{3} \pi r^2 =3\pi square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is \sqrt{3} times larger than the smaller leg. In this case, these dimensions are a base of \frac{3}{2} for the smaller leg and \frac{3\sqrt{3}}{2} for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get \frac{9\sqrt{3}}{4} square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

5 0
3 years ago
Trent began his math work at 5:29 p.m. He finished at 6:04 p.m. How many minutes did Trent spend on his math homework?
Morgarella [4.7K]

Answer: I am pretty sure it is 35 min

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Write each fraction as a sum or difference 14-6x/19
Oksanka [162]
<span>Given number : 14 - 6x / 19
So we need to write this fraction as a sum or difference.
First, simplify the given number:
=> 14 – 6x / 19
=> <u>14 x 19 – (6x</u>)
            19
=> <u>266 – 6x</u>
         19
=> 266 – 6x = -2 * (3x - 133)
Thus, the final result would be:
=> <u>-2 * (3x - 133) </u> => This will be the fraction sum or difference of the given number<u>
</u>               19

</span>



8 0
3 years ago
I need help please explain your work for number 7 only
Keith_Richards [23]

Answer:

Transitive property

Step-by-step explanation:

When a=c and b=c, a=b

A would be 16+43

B would be 59

C would be 10+49

5 0
2 years ago
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