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Cloud [144]
3 years ago
14

Two angles that are congruent share the same vertex true

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
Two angles that are congruent share the same vertex true -
.
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Jamie has 100 milliliters of a 50% isopropyl alcohol solution. How many milliliters of a 96% isopropyl alcohol solution does she
serious [3.7K]

Answer:

318.2 ml

Step-by-step explanation:

Jamie has 100 ml of a 50% isopropyl alcohol solution.

She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.

Let the amount of 96% solution required = x ml

Final amount of 85% isopropyl alcohol solution = (100 + x) ml

Therefore, equation for this situation will be,

100 × (50%) + (x) × (96%) = (100 + x) × (85%)

100(0.5) + 0.96x = 0.85(100 + x)

50 + 0.96x = 85 + 0.85x

0.96x - 0.85x = 85 - 50

0.11x = 35

x = \frac{35}{0.11}

x = 318.18 ml

  ≈ 318.2 ml

Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.

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3 years ago
Jeri drew the following model to represent the fraction. What's wrong with her model?
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When I am multiplied by myself, I
cestrela7 [59]

Answer:

21 & 22

42.25 ÷ 2 = 21.125.

21.125 rounded to the two nearest whole numbers is 21 and 22.

21 and 22 are the closest integers to 21.125.

The answer is 21 and 22.

Hope it helps!

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Sam drove 220 miles on 8 gallons of gas. find the unit rate.
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Step-by-step explanation:

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The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes​?
Mkey [24]

Answer:

  4π in ≈ 12.57 in

Step-by-step explanation:

One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60)(2π) = 4π/3 radians. The length of the arc is ...

  s = rθ = (3 in)(4π/3) = 4π in ≈ 12.57 in

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3 years ago
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