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Debora [2.8K]
3 years ago
13

Find the value of X. Show your work. Congruent triangle

Mathematics
2 answers:
Stells [14]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

ella [17]3 years ago
5 0

Answer: x=-6

you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure

64 + 27 = 91

180 - 91 = 89

so 89 is the third interior angle of the triangle. now let's find the exterior angle.

you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:

89 + <u>97 + x</u> = 180

186 + x = 180

-186        -186

x = -6

now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.

64+27+89 does equal 180

and 97+(-6)+89 does equal 180

i hope this helps!

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Please help me Create a system of two equations but do not solve the system please actually help me please and thank you
mel-nik [20]

Answer:

7r + g = 46

7r + 2g = 50

Step-by-step explanation:

Hi there!

Matt and Trevon both bought supplies from a store, and we know that Matt bought 7 rose bushes and 1 geranium, and spent a total of $46 while Trevon bought 7 rose bushes and 2 geraniums, and spent a total of $50

We know that each rose bush costs a certain amount, and each geranium must cost a certain amount, but we don't know what that amount is; it's also possible that the amounts could be different

So let's say that the cost of one rose bush is r dollars; for Matt, that means that he spent 7r dollars on 7 rose bushes. Trevon also bought 7 rose bushes, meaning he also spent 7r dollars on rose bushes.

Since the cost of the geraniums can be different from the cost of every rose bush, let's express it with a different variable, like g.
Since Matt bought one geranium, he spent g dollars on that one geranium.
Trevon bought 2 geraniums, so he spent 2g dollars on the geraniums

The total cost of what Matt spent on flowers was 7r + g dollars (7 rose bushes + 1 geranium), which is equal to 46 dollars

As an equation, that can be written as 7r + g = 46

Trevon spent 7r + 2g dollars (7 rose bushes + 2 geraniums), which gave him a total of $50

As an equation, that can be written as 7r + 2g = 50
The two equations therefore are:
7r + g =46
7r+2g=50
Hope this helps!

Take a look here to practice with a similar problem if you wish (you don't have to look at the actual solving portion): brainly.com/question/14033905

8 0
2 years ago
Five times a number (n) subtracted from 50 is 15
PolarNik [594]
50 - 5n = 15

if you need to find the number n then
50 - 5n = 15
-5n = -35
  n = 7
5 0
3 years ago
Read 2 more answers
Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the ro
skelet666 [1.2K]

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

8 0
3 years ago
How to solve this equation 2+6x=1-x
aleksley [76]
+x on each side. Then -2 on each side. Then divide both sides by 6 and you have your answer
8 0
3 years ago
Read 2 more answers
What is the measure of FSM
disa [49]

Answer:

Whatever FSM is equal or congruent to.

Step-by-step explanation:

Since you didn't provide a picture or anything, I'll happily give you an example!

Example: FSM = ORH

This applies all the time.

F = O, S= R, M=H

If the measure of ORH is 19, then the measure of FSM will also be 19.

If the measure of FS is 14, for example, then OR will also be 14.

I hope this helps!!

4 0
3 years ago
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