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zysi [14]
3 years ago
9

A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angle

s?
Mathematics
1 answer:
kap26 [50]3 years ago
6 0
The angles are B and C.


The three angles add up to 180º
A=80º
B
C

A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º  (1)

The ratio between A and B is 7/13 ; therefore:
B/C=7/13  ⇒B=7C/13    (2)

With the equations (1) and (2), we make a system of equations:

B+C=100
B=7C/13

We can solve this system of equations by substitution method:
7C/13  + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65

B=7C/13
B=7*65/13
B=455/13
B=35º

Answer: The measures of those two angles are 65º and 35º.
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he price of a pair of shoes increases from $68 to $77. What is the percent increase to the nearest percent?
tekilochka [14]

Answer:

an increase of 12%

Step-by-step explanation:

68 divided by 77 is 0.88 approximately

100-88 is 12

Tip:

do this for increase and decrease in percentage question

divide small number by big number, and subtract the quotient from 100

8 0
3 years ago
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Complete the table of values for the equation, 16x + 4y = 12.
Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

  • a= the slope;
  • b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

  • For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

  • For x= -1,  the value of y will be:

         16*(-1)+4y=12

  • -16+4y=12
  • 4y=12+16
  • 4y=28
  • y=7
  • For x= 0,  the value of y will be:

         16*(0)+4y=12

  • 0+4y=12
  • 4y=12
  • 4y=12
  • y=3
  • For x= 1,  the value of y will be:

         16*(1)+4y=12

  • 16+4y=12
  • 4y=12-16
  • 4y=-4
  • y= -1
  • For x= 2,  the value of y will be:

         16*(2)+4y=12

  • 32+4y=12
  • 4y=12-32
  • 4y=-20
  • y= -5

Read more about the linear equation here:

brainly.com/question/1884491

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7 0
2 years ago
A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate. How many cupcakes can the baker decorate
jolli1 [7]
Divide 42 by 30 and that should be your correct answer. 

hope this helps.
8 0
3 years ago
Read 2 more answers
[79 points if correct]<br>Help me with any 4 questions!<br>Please !!!!​
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<u>Answer:</u>

<u>(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)</u>

QUESTION EIGHT: 2690

QUESTION NINE: 120

QUESTION ELEVEN: 12.5

QUESTION FOURTEEN: 24

<u>Step-by-step explanation:</u>

<u>WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)</u>

8.

may 3rd -> july 15th = 73 days

500*0.06 = 30

30 = how much he makes in one day (so he has 530 after 1 day)

30*73 = 2190

500 + 2190 = 2690

9.

210/7 = 30

1% for 3 years = 30

1% for 1 year = 10

100% for 1 year = 1000

2000*0.06 = 120

11.

54,000*0.08 = 4320

54,000/4320 = 12.5

14.

5000*6.26% = 312.5

7500/312.5 = 24

5 0
3 years ago
68 miles to 42.5 miles
Thepotemich [5.8K]
1) subtract 42.5 miles from 68 miles to find the gross change in distance:  It is 25.5.  Since this is a decrease, write -25.5 miles.
2) divide -25.5 miles by the original distance, 68 miles:
     -0.375
3) multiply this by 100% to find the percentage decrease:
     -37.5% (answer)
5 0
4 years ago
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