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Vlad1618 [11]
3 years ago
9

Find the measure of angle c SHOW ALL WORK

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

easy peasy lemon squeazy

Step-by-step explanation:

in this circle, BC is the diameter,

hence, BCA is a semicircle,

and we know that, angle subtended by a semicircle at any point inside the semicircle is 90°,

therefore by angle sum property of triangles, we have

in ΔABC

∠A + ∠B + ∠C = 180°

=> 90° + 50° + ∠C = 180°

=> ∠C = 180° - 140°

=> ∠C = 40°

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Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y
erma4kov [3.2K]

Answer:

The values of x and y are x = 6 and y = 9

Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

  • Bisect each other
  • Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

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Step-by-step explanation:

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1. John began his job making $25 the first day. After that he was paid $6.75 per hour. a) Use the equation y 6.75x +25 to comple
iren [92.7K]

Answer:

a. Chart (attached)

b. and c. graph attached

Step-by-step explanation:

a. We use the equation given to us and plug in the values of "x" that have been shown to find the corresponding values of y.

So, when x=0, y=6.75\times 0+25=25

when x=20, y=6.75\times 20+25=160

when x=40, y=6.75\times 40+25=295

b. The graph has been shown in a similar manner.  All the three points of part a are connected to form the straight line y=6.75x+25. So, we have (0,25), (20,160) and (40, 295)

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