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Rom4ik [11]
3 years ago
12

Point M is the midpoint of AB. The coordinates of point A are (-8, 1) and the coordinates of M are (-3,3).

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

<h3>           The coordinates of point B are (2, 5)</h3>

Step-by-step explanation:

Point M being midpoint of AB means:

x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-(-3)=-3-(-8)\qquad\quad\wedge\quad\quad y_B-3=3-1\\\\x_B=-3+8-3\qquad\qquad\ \wedge\qquad\quad y_B=2+3\\\\x_B=2\qquad\qquad\ \wedge\qquad\qquad y_B=5

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parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
8) An extremely handsome math teacher is on African
viva [34]

Answer:

One less zebra

Step-by-step explanation:

T        z        l

0       200   220

1         160    175       (subtract 40 from 200  and 45 from 220)

2        120    130

3         80      85

4         40  =  40      <===== lion has zebra lunch before the river is reached

Zdistance = 200 - 40s

Ldistance = 220 - 45 s            where  's' is seconds

8 0
1 year ago
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Answer:

Area is the measure of the amount of surface covered by something. Area formulas for different shapes are sometimes different, but for the most part, area is calculated by multiplying length times width. This is used when calculating area of squares and rectangles. Once you have the number answer to the problem, you need to figure out the units. When calculating area, you will take the units given in the problem (feet, yards, etc) and square them, so your unit measure would be in square feet (ft.2) (or whatever measure they gave you).

Step-by-step explanation:

4 0
3 years ago
R<br> (x + 1)<br> (3x - 5)<br> S<br> Р<br> What is mzPQR ?
Lesechka [4]

Answer:

x+  1= 3

Step-by-step explanation:

^^

8 0
3 years ago
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iren2701 [21]
What he said


Hope this helped
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