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Alinara [238K]
3 years ago
7

Solve for m ?( geometry?)

Mathematics
1 answer:
kupik [55]3 years ago
4 0
Answer: m = 16

Remember: the base angles of a trapezoid are congruent.

Form your equation.
4m + 1 = 2m + 33

Solve for m.
4m + 1 = 2m + 33             Subtract 1 from both sides
4m = 2m + 32                  Subtract 2m from both sides
2m = 32                           Divide by 2 to both sides
m = 16                              Answer!

You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65
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The angles of a triangle add up to 180 degrees.
Alex_Xolod [135]

Answer:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

8 0
3 years ago
A soccer league has 200 players. Of those players 50% are boys. How many boys are in the soccer league
Lelechka [254]
What's 200 minus 50 that's your answer simple
7 0
4 years ago
Two people take 16 hours to clean an auditorium. How long would 8 people take to do the job?
Nadusha1986 [10]
It would be 4 hours !!!!
6 0
3 years ago
Read 2 more answers
It takes 75 pounds of seed to completely plant an 8-acre field.
a_sh-v [17]

Answer:

8/75

Step-by-step explanation:

make a table chart

divided 75 by 75 to get one then do it to the other side

8 divided by 75

will give you 8/75

6 0
3 years ago
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0
3 years ago
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