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Hitman42 [59]
3 years ago
9

Someone pls help me with this.

Mathematics
2 answers:
Assoli18 [71]3 years ago
4 0

Answer: m∠D = 65°

Step-by-step explanation:

The best solve method for problems like this is say the sum of the angle values equals 360.

2x-15+2x-15+x+x = 360

Then from here you just simplify.

4x+2x-30 = 360

6x = 390

x = 65

So the measure of Angle D equals 65 degrees.

Zigmanuir [339]3 years ago
3 0

We know, sum of all angles of a quadrilateral is 360°.

Therefore, angle A + angle B + angle C + angle D = 360°

or, (2x-15)+x+(2x-15)+x = 360

or, 6x-30 = 360

or, 6x = 360+30

or, 6x = 390

or, x = 390/6 = 65

Therefore, measure of angle D = x° = 65°

The answer is option d. 65°

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Which order pair is a solution to the system of linear equations -4+y=8 and x-5y=17?
andreev551 [17]

Hello!

To find this ordered pair, we solve for x and y and put them together in an ordered pair.

-4+y=8

x-5y=17

Let's solve the first equation for y.

y= 12

Now, let's plug 12 into the second equation for y.

x-5(12)=17

x-60=17

x=77

Therefore, our ordered pair is (77,12)

I hope this helps!

4 0
3 years ago
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What is the distance between the points (-5,2) and (-5, -10)?
Artist 52 [7]

Answer:

The distance is 8 units because if you start at (-5,2) you will have to go up 8 units to get to (-5,10)

Step-by-step explanation:

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3 years ago
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What information is necessary to prove the triangles congruent by SAS? ​
Ber [7]

Answer:

SAS requires two congruent sides and the included angle be also congruent

Given is the picture are congruent triangles

<u>ΔACB ≅ ΔECD, because:</u>

  • AC ≅ EC, given
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5 0
2 years ago
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Sally has Christmas lights the roof is 16 feet high the ladder is 20 ft long how far away is letter from wall
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It should be 12 ft away from the wall. Not 4 ft. You do not just subtract the difference because as you pull it away from the wall, the ladder is mostly moving horizontally with only a small vertical change.

You can use Pythagorean Theorem to find the answer. Think of the ladder as the hypotenuse of a right triangle with the wall and the ground as the legs.

a^2 + b^2 = c^2

16^2 + b^2 = 20^2

b^2 = 20^2 - 16^2

b^2 = 144

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4 0
3 years ago
Write the first four terms of the sequence. rule start at 5 1/2, add 1 1/5
Hitman42 [59]

Answer:

5\frac{1}{2},6\frac{7}{10},7\frac{9}{10},9\frac{1}{10}

Step-by-step explanation:

The first term of the sequence is

a_1=5\frac{1}{2}

To find the second term add 1\frac{1}{5} to the first term;

a_2=5\frac{1}{2}+1\frac{1}{5}=6\frac{7}{10}

To find the third term add 1\frac{1}{5} to the second term;

a_3=6\frac{7}{10}+1\frac{1}{5}=7\frac{9}{10}

To find the fourth term add 1\frac{1}{5} to the third term;

a_4=7\frac{9}{10}+1\frac{1}{5}=9\frac{1}{10}

The first four terms are

5\frac{1}{2},6\frac{7}{10},7\frac{9}{10},9\frac{1}{10}

7 0
2 years ago
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