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balu736 [363]
3 years ago
9

One of two supplementary angles is five times the other. Find the measure of each angle

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

Step-by-step explanation:

supplementary angles add up to 180

so let one angle be x.....and the other angle is 5 times bigger....so let the second angle be 5x

x + 5x = 180

6x = 180

x = 180/6

x = 30

5x = 5(30) = 150

so one angle is 30 and the other angle is 150

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2. Find the number of distinct triangles with c=11,b=7,B=18 a.0 b.1 c.2 d. cannot be determined
jok3333 [9.3K]
Answer: Choice C) 2

----------------------------------------------

Explanation:

Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5

Those approximate values of C round to
C = 29.05 and C = 150.95

If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number

If C = 150.95, then angle A is 
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number

There are two distinct triangles that can be formed. 
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
7 0
3 years ago
the weight of 3 kittins at one week of age were 3.6 ounces 4.2ounces and 3.3 ounces if each kitten has gained 2.3ounces how much
Leona [35]

Answer:

3.6 + 2.3 = 5.9

4.2 + 2.3 = 6.5

3.3 + 2.3 = 5.6

Step-by-step explanation:

4 0
2 years ago
Rachel is considering moving into a one-bedroom apartment in Glen Gardens. The apartment has a monthly rent of $1,300. Below are
TiliK225 [7]
She is expected to pay $4508 up front.

Application fee:  2% of 1300 = 0.02(1300) = 26
Credit application fee:  10
Security deposit:  1300
Last month's rent:  1300
Broker fee:  12% of year's rent = 0.12(1300)(12) = 1872

26+10+1300+1300+1872 = 4508
8 0
3 years ago
45 and 46 pls thx and I need work too
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45 is b
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6 0
3 years ago
A number chosen at random 1 to 25 find the probability of selecting a greater number than 24
stira [4]
1/25 because the only number higher than 24 is 25 and you are choosing a number between 1 and 25
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