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Reika [66]
3 years ago
11

Find the values of the variable

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

Step-by-step explanation:

a = 180 - 100

= 80 degrees

b = 180 - 80

= 100 degrees

c = 180 - 135

= 45 degrees

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The midpoint of that segment is (-8,-8).
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Heather wants to make a 36% acid solution.
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.72x + .27 = .36(x + 3)

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if an area can be washed at a rate of 4,900 cm2/ minute, how many square inches can be washed per hour?
Olenka [21]

Answer : 4.5 × 10⁴ square inches can be washed per hour.

Step-by-step explanation :

As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.

Given conversions are:

1 cm = 0.39 in    and    1 hr = 60 min

As, 1 cm² = (0.39)² in²    and    1 min = 1/60 hr

So, 1cm^2/min=(0.39)^2\times 60in^2/hr

1cm^2/min=9.126in^2/hr

Now we have to determine the square inches can be washed per hour.

As, 1cm^2/min=9.126in^2/hr

So, 4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr

Therefore, 4.5 × 10⁴ square inches can be washed per hour.

4 0
3 years ago
SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)
andrew-mc [135]

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

<u>GIVEN :-</u>

  • ∠QPS = 180°
  • ∠QPR = 7x + 88
  • ∠RPS = 3x + 12

<u>TO FIND :-</u>

  1. Value of x
  2. Measure of ∠RPS

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

<u>PROCEDURE :-</u>

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

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