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4 years ago

Given:

Mathematics

1 answer:

Fynjy0 [20]4 years ago

5 0

Answer:

Option B is correct.

$\triangle RST \cong \triangle TUR$

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒ $TU \cong RS$ and $TS \cong RU$

In triangle RST and triangle TUR

$RS \cong TU$ [Side]

$TS \cong RU$ [Side]

$RT \cong RT$ [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

$\triangle RST \cong \triangle TUR$

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Step-by-step explanation:

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3 years ago

a train travels 120 miles in 1 1/2 hours. At this rate how many miles will the train travel in 6 hours

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3 years ago

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Vadim26 [7]

Answer:

19.5º

Step-by-step explanation:

Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.

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3 years ago

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jolli1 [7]

Answer:

4 sides

Step-by-step explanation:

A lot of math is about pattern matching. Here, you're asked if sides are the same length (one side matches another), if there are right angles (square corners), and if the number of angles or sides is 4.

You might make the observations ...

pink: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.

orange: all 4 sides are congruent and at right angles

blue: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.

green: 2 pairs of parallel sides that are the same length--4 sides and 4 right angles. Adjacent sides are different length.

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2 years ago

If four times the sum of a number and 3 is divided by 2, the quotient is 0: find the number

AveGali [126]

The other number is -3.

Step-by-step explanation:

Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows

The quotient of $\frac{4(x+3)}{2}$ is 0. So $\frac{4(x+3)}{2}$ = 0.

Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.

$\frac{4(x+3)}{2}$ = 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x = $\frac{-12}{4}$ = -3.

So the other number is -3.

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4 years ago