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3 years ago

N bisects MO. MN = 7x - 15, NO = 2x + 5. Find x

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

I don't see a picture, so I'm assuming that M, N, O are points on a line segment with endpoints M and O.

Point N bisects segment MO, so it's in the middle of that segment. That means the distance from M to N and the distance from N to O are equal.

7x - 15 = 2x + 5

5x - 15 = 5

5x = 20

x = 4

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Which set of shapes can be arranged in 6 equal groups, with no shapes left<br> over?

nasty-shy [4]

Is there supposed to be a picture??

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3 years ago

THE MEASURE OF TWO ADJACENT ANGLES OF THE PARALLELOGRAM ARE IN THE RATIO OF 3:2. FIND THE MEASURE OF EACH OF THE ANGLES OF THE P

BaLLatris [955]

Answer:

The adjacent angles are: 72 and 108

Step-by-step explanation:

Given

Angle Ratio = 3 : 2

Required

Find the measure of each angle

Let the angles be $x\ and\ y.$

Such that:

$x + y = 180$ --- adjacent angles of a parallelogram

and

$x : y = 3 : 2$ --- given

Convert to fraction

$\frac{x}{y} = \frac{3}{2}$

Cross Multiply:

$2x = 3y$

Make x the subject:

$x = \frac{3}{2}y$

$x + y = 180$ becomes

$\frac{3}{2}y + y = 180$

Take LCM

$\frac{3y + 2y}{2}= 180$

$\frac{5y}{2}= 180$

$y = \frac{2}{5} * 180$

$y = 0.4 * 180$

$y = 72$

Recall that:

$x = \frac{3}{2}y$

$x = \frac{3}{2} * 72$

$x = 1.5 * 72$

$x = 108$

<em>Hence, the adjacent angles are: 72 and 108</em>

8 0

3 years ago

If Maria designs a function to predict the amount of revenue, r, generated as a function of the number of people, n, who attend

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Answer:

Only whole numbers of people, n, are assumed in the calculation.

Step-by-step explanation:

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4 0

3 years ago

(a) Work out the reciprocal of 1.25

Oxana [17]

Answer:

0.8 OR $\frac{4}{5}$

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

$\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1$

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

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Now we just flip 5/4 to get our reciprocal:

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Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 ( $\frac{5}{4}$ ) is 0.8 ( $\frac{4}{5}$ ).

Hope this helped!

8 0

3 years ago

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Answer:

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Step-by-step explanation:

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