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Natali [406]
2 years ago
10

In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m

ore than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 to find the measure of each angle .
Mathematics
1 answer:
madam [21]2 years ago
7 0

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

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1 year ago
the initial term of arithmetic sequence is 5. The eleventh term is 125. what is the common difference of the arithmetic sequence
kap26 [50]
An arithmetic sequence starts with one number and you add the common difference to the previous term to get the current term
So...
f(x)=mx+b
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b=starting point
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--------
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4 0
2 years ago
Solve x + 3y = 9. 3x – 3y = –13
Sloan [31]
Question \ 1) \ x + 3y = 9 


x=9-3y
 
  |Subtract \ 3y \ from \ both \ sides| 

Question \ 2) \ 3x - 3y = -13 


3(x-y)=-13
 
   |Factor \ out \ the \ common \ term \ 3|

x-y= \dfrac{13}{3}   |Divide \ both \ sides \ by \ 3|

x=- \dfrac{13}{3}+y  |Add \ y \ to \ both \ sides|

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7 0
3 years ago
Help me with this pls anyone
podryga [215]

Answer:

B

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find y values for x values and check:

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pairs: (1,1);(2,4)

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