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Ostrovityanka [42]
3 years ago
13

Pls help 2 and 3!!!!!!!!!

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

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One solution to 3x+9+4x+x
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Answer:

8x+9

Step-by-step explanation:

Add the like terms together.

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Find the distance between points p(8, 2) and q(3, 8) to the nearest tenth.
grandymaker [24]
Distance between two points, d, is given by
d= \sqrt{ ( x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }&#10;
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If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?
Ira Lisetskai [31]

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

The area of the triangle ABC is D.

D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

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Therefore, the required values are m=2D, n=ac.

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