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3 years ago

In a class of 32 students

Mathematics

1 answer:

DerKrebs [107]3 years ago

4 0

Answer:

1.48 m.

Step-by-step explanation:

The number of girls in the class = 32 - 14 = 18 girls.

Sum of the boy's heights = 14 * 1.56 = 21.84 m.

Sum of all the student's heights = 32 * 1.515 = 48.48 m.

So the sum of the heights of the girls is 48.48 - 21.84

= 26.64 m.

So the mean height of the girls 26.64 / 18

= 1.48 m.

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3 years ago

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3 years ago

What is the slope of the line that contains the points (-5, 6) and (14. - 7)?

SSSSS [86.1K]

Answer:

${\huge{\boxed{\frac{1}{19}}$

Step-by-step explanation:

Slope formula:

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$\frac{y_2-y_1}{x_2-x_1}}$

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3 years ago

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3 years ago

Suppose that LMN is isosceles with base LN suppose that M

ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

$m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ$

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

$LM=MN$ (Given)

$m\angle N=m\angle L=(2x+36)^\circ$ (Base angles of an isosceles triangle are equal)

Now,

$m\angle L+m\angle M+m\angle N=180^\circ$

$(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ$

$(7x+89)^\circ=180^\circ$

$(7x+89)=180$

On further simplification, we get

$7x=180-89$

$7x=91$

$x=\dfrac{91}{7}$

$x=13$

The value of x is 13. Using this value, we get

$m\angle L=(2(13)+36)^\circ$

$m\angle L=(26+36)^\circ$

$m\angle L=62^\circ$

Similarly,

$m\angle M=(3(13)+17)^\circ$

$m\angle M=(39+17)^\circ$

$m\angle M=56^\circ$

And,

$m\angle N=m\angle L$

$m\angle N=62^\circ$

Therefore, the measure of angles are $m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ$ .

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4 years ago