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Yakvenalex [24]
4 years ago
10

Which pair of angles are vertical angles

Mathematics
1 answer:
Bond [772]4 years ago
6 0

Answer:

∠EKF and ∠HKI

Step-by-step explanation:

Vertical Angles are angles that are directly opposite of each. They're made by two lines intersecting each other.

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The measures of the angles RST are given by the expressions in the table.
Softa [21]
To find the value of x, and then find the angles of triangle RST, we first need to set up an equation equal to 180.

First, the equation = 180:

We have 31, x+4, and 3x+9.
What we can do is make an equation in which adds the angles to equal 180.
As so:

31 + x + 4 + 3x + 9 = 180

Combine like terms:

31 + x + 4 + 3x + 9 = 180
44 + x + 3x = 180
44 + 4x = 180

Now, we need to simplify this further by subtracting 44 from each side:

44 - 44 + 4x = 180 - 44
4x = 136

Next, to simplify this equation <em>even</em> further, we need to divide each side by 4 (Resulting in the x being alone on one side of the equation.)

4x / 4 = 136 / 4
x = 136 / 4
x = 34

Awesome! We now know that x = 34!
However, we are not completely finished with this problem. Let's continue.

To find the angles of S and T, we need to substitute 34 in for x:

S:
(x + 4)
(34 + 4)
38 <em>degrees</em>

T:
(3x + 9)
(3(34) + 9)
(102 + 9)
111 <em>degrees
</em>
<em />Amazing! We now can conclude all of the angles' measurements:
<em>R</em> = 31
<em>S</em> = 38<em>
</em><em>T = </em>111
Also, x = 34.

Hope I could help you out! If my math is wrong or it isn't the answer you were looking for, please let me know!
Have a good one.
8 0
3 years ago
At the end of the day, vegetables at Farm Market sell for $2.00 a pound, and a basket costs $3.50. If Charlene wants to buy a ba
Sliva [168]
She can only buy 3 pounds of veggie
3 0
3 years ago
Read 2 more answers
a radius of the a segment that connects are point on the circle to any point inside of that circle answer.com
yaroslaw [1]

the answer is the intersection.

7 0
3 years ago
Help plzzzzzzzzzzzzzzzz
Alik [6]

Answer:

I think the awnser is for AOC is 120 I think

6 0
3 years ago
*not drown to scale
bulgar [2K]

Answer:

26.9 inches

Step-by-step explanation:

2x Pythagorean theorem

First we find the length of AC with ABC. AC is the hypotenuse of triangle ABC.

AC = sqrt(7^2+24^2) = sqrt625 = 25.

Now, AD is the hypotenuse of ACD. So AD = sqrt(25^2+10^2) = sqrt(725) = 26.925824 which is about 26.9 inches.

8 0
3 years ago
Read 2 more answers
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