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Papessa [141]
3 years ago
14

Solve the compound inequality, then correctly fill in the blanks below. -3 2-5 <2 I

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

hold my picolr

Step-by-step explanation:

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Given AFGH is a cyclic quadrilateral, find the value below:
Oliga [24]

Answer:

238°

Step-by-step explanation:

In a cyclic quadrilateral, the pair of opposite angles add up to 180 degrees.

So, the angle "21x - 2" and the angle "38x + 5"  add up to 180.

So, we can write an equation and solve for x first:

21x-2+38x+5=180\\59x+3=180\\59x=180-3\\59x=177\\x=3

x = 3

Now, Arc FGH is DOUBLE of Angle A. Angle A is "38x + 5". We know x, so angle A is:

Angle A = 38x + 5 = 38(3) + 5 = 119

Thus, Arc FGH = 2 * 119 = 238°

5 0
3 years ago
If Rachel were to paint her living room alone it would take five hours her sister Barbara could do the job in eight hours how ma
viva [34]

Answer:

40/13 hours

Step-by-step explanation:

Let 1 represent the room being painted.

1/5 would represent 1/5 of a room painted in 1 hour.

1/8 would represent 1/8 of a room being painted in 1 hour

But they are are working together so

(1/5)x + (1/8)x = 1

The lowest common denominator is 5 * 8 = 40

[(1/5)x * 40 + (1/8)x * 40] = 1

8x + 5x = 40

13x = 40

x = 40/13

x = 3.077 hours

But you want a fraction as your answer so it is 3 1/13 or 40/13

You should notice that 3.077 is smaller than the lowest amount of time both of them use. That always happens with these questions.

8 0
3 years ago
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