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3 years ago

Look at the figure shown below:

Mathematics

2 answers:

pshichka [43]3 years ago

4 0

Using SAS postulate, prove that triangles PQS and PRS are congruent.

kirza4 [7]3 years ago

3 0

One possible answer is:

Draw segments from P to R and from P to Q; the triangles formed will be congruent by the SAS congruence theorem.

Explanation:

Drawing segments from P to R and from P to Q creates triangles PSR and PSQ.

In these two triangles, we know that RS ≅ SQ and PS≅PS.

Since PS is the perpendicular bisector of RQ, we also know that ∠PSR = 90; this is the same as ∠PSQ, so the two angles are congruent.

This means we have two sides and the angle between them congruent; this is the SAS postulate, which proves the triangles are congruent.

Since the triangles are congruent, all corresponding sides are congruent; this means that PR ≅ PQ.

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Point \blue{A}Astart color blue, A, end color blue is at \blue{(-4, 8)}(−4,8)start color blue, left parenthesis, minus, 4, comma

ASHA 777 [7]

Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

Let coordinates of points are (a,b).

Midpoint of two points is

$Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

$M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})$

Coordinates of midpoint are (1,7.5).

$(1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})$

On comparing both sides we get

$1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6$

$7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7$

Therefore, the coordinates of point B are (6,7).

6 0

2 years ago

I NEED THIS ASAP- Point A is located at (-5, -8). Point A is reflected across the X-axis to create point B. What is point B?

Rasek [7]

Answer:

(5,-8)

Step-by-step explanation:

if it is reflected across the X axis and this is in quadrant 3 that means if it was reflected it would fall in quadrant 2

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3 years ago

Please please im beggin with my life help me

pychu [463]

Ok soo the answer for part A is 714 euros B idk

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3 years ago

Integers

Llana [10]

Answer:

Option D is not true

Step-by-step explanation:

Whole Numbers (W) = They include Natural numbers (N) and 0.

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2 years ago

Please help I really need it

yawa3891 [41]

Answer: m< MIH is 34°

M< AVM is 70°

And the angle of the obtuse angle formed at the intersection of AV and HI is 104°

Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)

Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.

Since we got those answers, the next one you just plug it in, and the answer would be 104°

5 0

3 years ago