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3 years ago

Given:

Mathematics

1 answer:

Fynjy0 [20]3 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;

$\triangle RST \cong \triangle TUR$

You might be interested in

You are doing annual inventory at the hardware store where you work. A box filled with brass connectors weighs 5 pounds 4 ounces

Georgia [21]

Answer:

304 brass connectors.

Step-by-step explanation:

We have been given that a box filled with brass connectors weighs 5 pounds 4 ounces. The box weighs 8 ounces when empty, and each connector weighs 0.25 ounces.

Since we know that 1 pound equals to 16 ounces.Let us convert weight of box filled with brass connectors from pounds to ounces.

$(5*16)+4=80+4=84$

Now we will find weight of brass connectors by subtracting weight of empty box from weight of filled box.

$84-8=76$

Let us divide 76 by 0.25 to find number of brass connectors in the box.

$\text{ Number of brass connectors in the box}=\frac{76}{0.25}$

$\text{ Number of brass connectors in the box}=304$

Therefore, there are 304 connectors in the box.

6 0

3 years ago

Which of the following is the method used to determine whether or not a proportion is true?

sdas [7]

Answer:

Cross multiplication is the method used to determine whether or not a proportion is true.

Explanation:

If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

Cross multiplication is the method used to determine whether or not a proportion is TRUE.

For example, if a bowl of fruit contains 10 oranges and 8 lemons, then the ratio of oranges to lemons is 10 is to 8 (that is, 10 : 8 ), which is equivalent to the ratio 5:4).

7 0

3 years ago

If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?

Maslowich

Answer:

Step-by-step explanation:

104 oz = 2 q

divide by 2

52 oz= 1 q

now take 260 oz / 52 oz

5 quarts

5 0

3 years ago

For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?

jekas [21]

The sum of the interior angles in the polygon whose side is 10 is $1440^{0}$

<h3>What is sum of interior angle of polygon ?</h3>

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.

As, The formula for calculating the sum of interior angles is ( n − 2 ) × $180^{0}$

S0, n=10

Then, sum of interior angle be = (n-2) x 180

= (10-2) x 180

= 8 x 180

$= 1440^{0}$

Thus, the sum of the interior angles in the polygon is $1440^{0}$

Learn more sum of interior angle of polygon here:

brainly.com/question/22408868?

#SPJ1

3 0

1 year ago

-3/7, -8/3 and -5/2,-2 slope

Alja [10]

So the points are (-3/7,-8/3) and (-5/2,-2)
to find the slope do
(y2-y1)/(x2-x1)
(x,y)
x1=-3/7
y1=-8/3
x2=-5/2
y2=-2

subsitute
$\frac{-2-( \frac{-8}{3} )}{ \frac{-5}{2} - \frac{-3}{7} }$
simplify by finding similar denomenators
$\frac{\frac{-6}{3}-( \frac{-8}{3} )}{ \frac{-35}{14} - \frac{-6}{14} }$
$\frac{\frac{-6}{3}( \frac{8}{3} )}{ \frac{-35}{14} + \frac{6}{14} }$
add
$\frac{\frac{2}{3}}{ \frac{-29}{14}}$
multiply top and bottom by $\frac{-14}{29$
$\frac{\frac{-28}{87}}{1}$
$\frac{-28}{87}$
answer is
slope= $\frac{-28}{87}$

8 0

2 years ago