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White raven [17]
3 years ago
15

Can anybody help me on this

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

(A) 120°

Step-by-step explanation:

m∠P=x

m∠S=2x

m∠Q=x

m∠R=2x

Sum of the angles in trapezoid  is 360°.

x+x+2x+2x=360

6x=360

x=60°

m∠R=2x=2*60=120

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There are 527 pencils,646 erasers and 748 sharpeners. These are to be put in separate packets containing the same number of item
sp2606 [1]

Answer:

  • 31 pencils
  • 38 erasers
  • 44 sharpeners

Step-by-step explanation:

The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.

It can be helpful to look at the differences between these numbers:

  748 -646 = 102

  646 -527 = 119

The difference of these differences is 17, suggesting that will be the number of packets possible.

  527 = 17 × 31

  646 = 17 × 38

  748 = 17 × 44

The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.

There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.

_____

We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.

17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=3x%2B7%3D12-2x%3B1" id="TexFormula1" title="3x+7=12-2x;1" alt="3x+7=12-2x;1" align="absmiddle"
Igoryamba

Step-by-step explanation:

3x + 7 = 12- 2x \\ 3x + 2x = 12 - 7 \\ 5x  = 5 \\ x =  \frac{5}{5}  \\ x =1

5 0
3 years ago
An angle measure of 55.45 is converted to DMS notation as
jek_recluse [69]

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

5 0
3 years ago
Help please and sorry it’s not clear
aliina [53]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
If the perimeter of the triangle is 49, find the value of x.
patriot [66]
There will be no solution I think but I'm really not sure so just see so I'm only sure so if you get It wrong sorry for you just remember I told you
4 0
3 years ago
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