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aleksklad [387]
3 years ago
14

Use the figure below to determine the relationship between the lengths of MR and MS.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
< MSR = 180 - 110 = 70 degrees
So MR is opposite 70 degrees and MS is opposite 60 degrees
therefore MR is longer than MS
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What are the measures of two complementary angles if the difference in their measures is 18?
saw5 [17]
Complementary angles = 90°
x= angle 1
(90-x)= angle 2

Subtract the two angles to get the difference between them (18°).

(90-x) - x= 18
combine like terms

90 - 2x= 18
subtract 90 from both sides

-2x= -72
divide both sides by -2

x= 36° angle 1


Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2

Hope this helps! :)

3 0
3 years ago
Kala purchased a prepaid phone card for $15. Long distance calls cost $12 a minute using this card. Kala Use her card only once
irina [24]

Kala call lasted for 0.36 minutes

<em><u>Solution:</u></em>

Given that Kala purchased a prepaid phone card for $15

Long distance calls cost $12 a minute using this card.

If the remaining credit on her card is $10.68

To find: Number of minutes her call lasted

Let "x" be the number of minutes her call lasted

Cost of 1 minute = $ 12

Total balance = $15

Remaining balance = $ 10.68

So we can frame a equation as:

Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted

15 = 10.68 + 12 \times x\\\\15 - 10.68 = 12x\\\\4.32 = 12x\\\\x = 0.36

So her call lasted for 0.36 minutes

4 0
3 years ago
Trisha has a game board as shown below, which is a square that has a total area of 400 square inches. The area of the large circ
Mazyrski [523]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Total area of square inches = 400

The area of the large circle = 314

Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,

Let E be the event the Trisha will get points .

so,

P(E)=\frac{314}{400}

As we know that

P(E')=1-P(E)\\\\P(E')=1-\frac{314}{400}\\\\P(E')=\frac{400-314}{400}\\\\P(E')=\frac{86}{400}\\\\P(E')=0.215=0.22

So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22

So, First option is correct.

4 0
3 years ago
Read 2 more answers
Earl gets a commission of 20% on all sales. He sold $1,580.00 worth of goods. What was the amount of his paycheck?
Anni [7]
The answwer

20%  of <span>$1,580.00 is   X= 1,580 x20/ 100 = $316
</span> 
the amount of his paycheck was <span> $316</span>



7 0
4 years ago
Read 2 more answers
PLZ HELP
Mashutka [201]
(5-5) x
It is different because when you distribute the x it will make it 5x-5x while all the other equations are 5-5x
7 0
3 years ago
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