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Andru [333]
2 years ago
12

12.5,−10,−7.5,x; The mean is 11.5.

Mathematics
1 answer:
Stella [2.4K]2 years ago
5 0

Answer:

x = 51

Step-by-step explanation:

the mean is calculated as

mean = \frac{sum}{count}

here mean = 11.5 , then

\frac{12.5-10-7.5 +x}{4} = 11.5 ( multiply both sides by 4 to clear the fraction )

- 5 + x = 46 ( add 5 to both sides )

x = 51

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Read 2 more answers
Trapezoids and kites
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QUESTION 3

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 36\degree +70\degree+m.

\Rightarrow 106\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles of the kite are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

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QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

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QUESTION 5

The given figure is an isosceles trapezium.

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Therefore m

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

m

\Rightarrow m

\Rightarrow m

QUESTION 7

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\Rightarrow 48\degree +110\degree+m.

\Rightarrow 158\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

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QUESTION 9.

The sum of the interior angles of a trapezium is 360\degree.

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But the measure of angle M and K are congruent.

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Step-by-step explanation:

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