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vodomira [7]
3 years ago
5

A triangle is such that the largest angle is three times the smallest angle. Find the measure of each angle

Mathematics
1 answer:
sammy [17]3 years ago
8 0
Let x represent the smallest angle. Then the largest is 3x, and the remaining angle is 180-4x. The problem statement tells us
.. 3x > 180 -4x > x
Adding 4x gives us
.. 7x > 180 > 5x
or
.. 36 > x > 180/7 = 25 5/7

The angles, smallest to largest, are
.. x, 4(45 -x), 3x
where 25 5/7 < x < 36

The angles could be, for example, any of ...
.. 26°, 76°, 78°
.. 30°, 60°, 90°
.. 32°, 52°, 96°
.. 35°, 40°, 105°
and an infinite number of other possibilities.
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Charlotte and Savannah go to the movie theater and purchase refreshments for their friends. Charlotte spends a total of $85.00 o
Rudiy27

Answer:

The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:

8p + 10d = 85

2p + 2d = 20.50

Step-by-step explanation:

Let the price of a bag of popcorn be p

Let the price of one drink be d

Charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. This means

8p + 10d = 85

Savannah spends a total of $20.50 on 2 bags of popcorn and 2 drinks.

2p + 2d = 20.50

The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:

8p + 10d = 85 ----------1

2p + 2d = 20.50 - - - - - -2

Solving the equations with elimination method, multiply equation 1 by 2 and equation 2 by 8

16p + 20d = 170

16p + 16d = 164

Subtracting,

4d = 6

d = 6/4 = $1.5

Put d = 2 in equation 1

8p + 15 = 85

p = 70/8 = $8.75

4 0
3 years ago
2(a-7)=a+4<br> 15 6<br>PLS HELPPPPPPPPPPP​
muminat

Answer:

a = 18

Step-by-step explanation:

2(a-7)=a+4

Distribute 2 into left side: 2a -14 = a + 4

subtract a from both sides  2a-a-14 = a+4-a

Simplify: a  - 14 = 4

Add 14 to both sides: a - 14 + 14 = 4 +14

Simplify:   a = 18

If wanted, plug a into original to double check work:

plug in: 2 (18-7) = 18+4

do parenthesis first: 2 (11) = 18+4

do multiplication : 22 = 18+4

additions: 22 =22

a = 18 is correct.

8 0
3 years ago
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tangare [24]

Try this solution, it consists of two parts (MN=8).

4 0
3 years ago
I want a correct answer you can take your time. If I was born on December 24, two thousand and four ( 24 / 12 / 2004 ) and my cl
Elden [556K]

Answer:

8 months 11 days 1 year

5 0
3 years ago
PLEASE HELP ASAP!!!!!!!! What is the volume of the prism?
AURORKA [14]
Well the answer is 13 and cannot be written in simplest form because 1/2 and 1/2 have the same denominator so you add them together and you get 2/2 which is a whole number then you add the other whole numbers but don’t forget the new whole number then add the 5 and you get 13 cm
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3 years ago
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