# 46 please show your work

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Replace every n with 15 to get 15*(15-1)/2 = 15*14/2 = 15*7 = 105

Answer is choice C

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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

kap26 [50]

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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3 years ago

How do i find the midpoint of the line segment whose endpoints are (5, 9) and (-3, 7)

Nuetrik [128]

Midpoint ( (x1+x2)/2, (y1+y2)/2)

( (5+-3)/2, (9+7)/2)

(2/2,16/2)

(1,8)

Answer: (1,8)

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3 years ago

Mrs adams buys 4 bananas and 6 apples. Tell wether true or false the ratio of bananas to apples is 6:4