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3 years ago

In the diagram, how many angles must be supplementary with angle 14?

Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

Answer:

Step-by-step explanation:

angles 13 and 15 are supplementary with 14

since none of the lines are parallel

notka56 [123]3 years ago

4 0

Answer: There are two angles.

Step-by-step explanation:

Since we have shown in the figure:

$\angle 14+\angle 15=180^\circ$ ( ∵ Linear pair)

Similarly,

$\angle 13+\angle 14=180^\circ$ ( ∵ Linear pair)

So, we can see that

there are two angles that must be supplementary with angle 14.

Hence, there are two angles.

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natta225 [31]

Answer:

B)10

Step-by-step explanation:

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2 years ago

Read 2 more answers

The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar

marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

$R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

Here, $x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2$

Substituting this in the section formula

$R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)$

To simplifying the expression, we get

$\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)$

$\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)$

⇒ R(x,y) = R(–3,4)

Hence, the coordinates of point R is (–3, 4).

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