All categories

2 years ago

Quadrilateral RSTQ is a parallelogram.

Mathematics

1 answer:

Ket [755]2 years ago

5 0

Answer:

$\angle T \cong \angle R\\\angle S \cong \angle Q$

Step-by-step explanation:

According to the Parallelogram definition, every Parallelogram have a pair of congruent sides. In this case, Namely $\overline{RS} \cong \overline{TQ}$ and $\overline{QR} \cong \overline{TS}$

(not listed as an option)

And the opposite angles are congruent too.

$\angle T \cong \angle R\\\angle S \cong \angle Q$

You might be interested in

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

2 years ago

HELP RIGHT NOW PLEASE!!!!!!!!!!!! What is the value of x?

barxatty [35]

Answer:

x = 34

Step-by-step explanation:

Add together all three angles because together they equal 180 degrees

x + 12 + x + 100 = 180 Combine like terms

2x + 112 = 180

- 112 - 112 Subtract 112 from both sides

2x = 68 Divide both sides by 2

x = 34

6 0

2 years ago

Read 2 more answers

Evaluate 48 + 24 ÷ 8 − 22

Licemer1 [7]

Answer:

Using PEMDAS, we would first divide 24/8=3. Then, since there is no multiplication or division left, we can finish up with adding and subtracting. So, 48+3-22=29.

So 29 is the answer.

3 0

2 years ago

Read 2 more answers

Please help me solve these!!!

Marat540 [252]

Answer:

Maybe add or Multply every surface then add the surfaces then get your answer

Step-by-step explanation:

Maybe pay attention next time.

8 0

2 years ago

Best gets brainliest

NemiM [27]

Answer:

Step-by-step explanation:

5 0

2 years ago