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Shalnov [3]
3 years ago
14

If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ

Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

<h2>               63° or  173°</h2>

Step-by-step explanation:

You didn't specify where the point P is so there are two posibilites:

1.

P₁Z is dividing angle OZQ

then:

      m∠P₁ZQ = m∠OZQ - m∠OZP₁ = 125° - 62° = 63°

2.

P₂Z is outside angle OZQ

then

    m∠P₂ZQ = 360° - (m∠OZQ + m∠OZP₂) = 360° - (125° + 62°) = 173°

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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 mi
EastWind [94]

Answer:

40 mL of vinegar,

280 mL of dressing

Step-by-step explanation:

Let v = the milliliters ( mL ) of 100% vinegar,

Then it should be that 320 - v = mL of dressing.

v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 * v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.

Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,

v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "

v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "

v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract

0.88v = 35.2 - Divide 0.88 on either side

v = 40 mL of vinegar,

320 - v = 320 - 40 = 280 mL of dressing

6 0
2 years ago
The perimeter of a square in which A=36in2
cupoosta [38]

Answer:

24 inches

Step-by-step explanation:

The area of the square is 36 in2. The area of square can be represented as side x side or side squared. So, the sides must be 6 inches in length since 6x6 is 36. If one side is 6, 4 sides are 24.

6 0
3 years ago
Bret works for a printing company. He buys 5 packs of card. Each pack of card costs £14.06 How much money does Bret pay in total
klasskru [66]
Multiply 5 and £14.06 to get £70.30 this is your answer
8 0
3 years ago
Help me please I need help​
olasank [31]

Answer:

45

Step-by-step explanation:

7 0
2 years ago
The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio in simplest terms
nika2105 [10]

Answer:

4 grilled cheese: 9 total lunches

Step-by-step explanation:

Grilled cheese (gc): 200

Total: 200+100+150=<u>450</u>

Ratio: 200 gc: 450 total

SIMPLIFY:

gc: 200/50=4

Total: 450/50=9

ANSWER:

4 gc: 9 Total

8 0
2 years ago
Read 2 more answers
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