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Aleksandr-060686 [28]
1 year ago
6

M WXZ=81°, and m 2 is 23° more than m 1. Find m 1.

Mathematics
1 answer:
BaLLatris [955]1 year ago
3 0
\begin{gathered} m\angle1+m\angle2=m\angle WXZ \\ m\angle1=m\angle WXZ-m\angle2 \\ m\angle1=81-m\angle2 \end{gathered}

Besides, we have that

m\angle2=23+m\angle1

If we replace this equation in the previous one, we have

\begin{gathered} m\angle1=81-(23+m\angle1) \\ m\angle1=81-23-m\angle1 \\ 2m\angle1=58 \\ m\angle1=\frac{58}{2} \\ m\angle1=21 \end{gathered}

Then the angle 1 has measure 21 degrees.

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A warehouse worker fills 150 orders per day on average. From day to day, the number of orders varies by 2%. What is the range of
choli [55]

Answer:

The range is from 147 to 153 orders per day

Step-by-step explanation:

orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.

That is, by 2%.

First, we need to find the decimal of 2%, so

2/100 = 0.02

We multiply this with the average number of order, 150, to get the varying amount:

0.02 * 150 = 3

Thus, the range would be:

150 - 3 = 147

150 + 3 = 153

The range is from 147 to 153 orders per day

5 0
4 years ago
A helicopter blade does 3206 full turns in 7 minutes. Work out the number of full turns per minute? Then work out how many turns
ANEK [815]

Answer:

458 turns/min ----- 13740/30 min

Step-by-step explanation:

3206/7 (min) = 458

458 x 30 (min) = 13740

6 0
3 years ago
HELP please its a test i have to finish
erma4kov [3.2K]

Answer:

147

Step-by-step explanation:

Sequence 1:

7 × 1 = 7

7 × 2= 14

7 × 3 = 21

7 × 5 = 35

7 × 7 = 49

Sequence 2:

21 × 1 = 21

21 × 2 = 42

21 × 3 = 63

21× 5 = 105

21 × 7 = 147

4 0
3 years ago
Please help with number 25
Ivenika [448]

Answer:

4*4*4 = 4³

Step-by-step explanation:

Claire has 4 stamps.

Julia has 4 times as many as Claire or 4*4 = 4².

Damon has 4 times as many as Julia or 4*4*4 = 4³

5 0
3 years ago
I don’t understand this and I’ve been trying to figure it out but I’m lost
Levart [38]

Answer: (C) $104

<u>Step-by-step explanation:</u>

The Annual Expenses are:

  • Car Insurance =  $850
  • <u>             Books </u>=  <u>$400 </u>

                       Total = $1250

There are 12 months in a year so divide the Annual Expense by 12:

\dfrac{1250}{12}          

   <u>    1 0 4</u>

12 ) 1250

    <u> -12↓↓ </u>

          5↓

       <u> - 0↓  </u>

           50

       <u>  - 48 </u>

             2      ← The remainder is less than one-half so don't round up

6 0
4 years ago
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