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Jobisdone [24]
2 years ago
14

The vertex angle of isosceles triangle is 110. what are the measures of the base angles

Mathematics
1 answer:
alexgriva [62]2 years ago
3 0
Two sides are equal in an isosceles triangle. This means that the angle both sides make with the third side must be the same. Since the angles in a triangle add up to 180°, you can subtract 110° from 180° and divide your answer by two. The resulting number will be the measure of each of the two unknown angles
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Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

6 0
3 years ago
65 - 14 = 65-5-______
Fed [463]

Answer: 60? to be hostens i have no clue sorry i hope this help...

Step-by-step explanation:

7 0
3 years ago
What is the output value for the following function if the input value is 3.2?
mars1129 [50]
For functions, there is only many input values, but there can be only one output value, and there can be no identical x values. For this, x=3.2. If y= 2*3.2 - 1, then y=5.4.
3 0
3 years ago
Calculate the average speed of the car in m/s
Alina [70]

Answer:

14.4 m/s

Step-by-step explanation:

The speed of the car can be found by dividing the distance by the time. The distance is 0.8m 9 times or 0.8(9)=7.2 meters and the time is 0.5 seconds

s=\frac{d}{t} \\s=\frac{7.2}{0.5} \\s=14.4

3 0
3 years ago
Sam made $210.00 last week. If he worked 35 hours, how much is he paid for one hour of work?
saw5 [17]

Answer:

6 bucks

Step-by-step explanation:

210/35 = 6

210 dollars/ 35 hours = 6 dollars er hour

3 0
3 years ago
Read 2 more answers
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