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3 years ago

Answer:

Mathematics

2 answers:

Illusion [34]3 years ago

6 0

Answer:

D) Not enough information is given

Step-by-step explanation:

For it to be a parallelogram, MN and PQ should be equal in length.

Angles P and M should be equal

Angles N and Q should be equal.

But no such information is provided

andrey2020 [161]3 years ago

3 0

D. Not enough info

Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.

For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.

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The cost of living last year went up 5%. Fortunately, Alice Swanson got a 5% raise in her salary from last year. This year sh

kompoz [17]

Answer:

49038.0952

Step-by-step explanation:

x+0.05x=51490

1.05x/1.05= 51490/1.05

x=49038.0952

3 0

3 years ago

14. A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's a

kow [346]

Answer:

C. 7 hours

Step-by-step explanation:

Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...

distance = speed × time

300t = 350(t -1)

300t = 350t -350 . . . . eliminate parentheses

350 = 50t . . . . . . . . . . add 350-300t

7 = t . . . . . . divide by 50

The trip out took 7 hours.

8 0

3 years ago

30 Points!!! Please Help (Surface Area)

Nostrana [21]

Multiply base x height then divide by 2 if finding surface are if finding volume multiple base x height x width and divide by 3

4 0

3 years ago

1. The sum of the angles is 90° The difference between twice the larger angle and the smaller

Ostrovityanka [42]

Answer:

$\displaystyle 25°\:and\:°65$

Step-by-step explanation:

{90° = m∠1 + m∠2

{105° = 2m∠1 - m∠2

_______________

$\displaystyle \frac{195°}{3} = \frac{3m∠1}{3} \\ \\ 65° = m∠1$

All you have left to do is this:

$\displaystyle 25° = -65° + 90°$

So, your two angle measures are $\displaystyle 25°\:and\:°65.$

I am joyous to assist you anytime.

5 0

3 years ago

A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott

jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } $cm^{2}$

This area is equal to 125 $cm^{2}$ as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ $a^{2}$ - 18 a +80 -125 =0

⇒ $a^{2}$ - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a $>$ 4.

Thus the required answer is 15 cm.

7 0

3 years ago

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