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DaniilM [7]
2 years ago
7

the diagram shows a right angles triangle ABC. BC = 10 cm. angle CAB = 90 degrees. angle ABC = 30 degrees. M is the midpoint of

AB. Work out the size of angle AMC.

Mathematics
1 answer:
Karolina [17]2 years ago
8 0

Answer:

angle AMC=49.1

Step-by-step explanation:

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SVEN [57.7K]
If x + y = 6, then solve for y to get: y = 6 - x.

Now replace y with 6 - x in both equations.

(5x)/3 + 6 - x = c

2(6 - x) = c - 4x

The upper equation is solved for c.
Now we solve the lower equation for c.

c = 2(6 - x) + 4x

c = 12 - 2x + 4x

c = 2x + 12

Since we have two equations solved for c, we substitute to get

(5x)/3 + 6 - x = 2x + 12

This is an equation in only x, so we can solve for x.

(5x)/3 - 3x = 6

5x - 9x = 18

-4x = 18

x = -9/2

Now we solve for y.

x + y = 6

-9/2 + y = 6

y = 9/2 + 12/2

y = 21/2

Now we solve for c.

c = (5x)/3 + y

c = (5 * (-9/2))/3 + 21/2

c = -45/6 + 21/2

c = -15/2 + 21/2

c = 6/2

c = 3

Answer: c = 3
7 0
3 years ago
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