All categories

4 years ago

Given that QRSTU=QXWVU, find

Mathematics

2 answers:

Mrac [35]4 years ago

7 0

Angle UQR = Angle UQX since they are corresponding angles. Note how the top polygon reflects over the line QU to get the bottom polygon.

So because of this, and because angle UQX = 45, this means the answer is 45 degrees

Travka [436]4 years ago

4 0

Answer:

$m\angle UQR=45^{\circ}$

Step-by-step explanation:

We have been given that pentagon QRSTU is equal to pentagon QXWUV. We are asked to find the measure of angle UQR.

Upon looking at our given image, we can see that both pentagons share a common side that is QU.

We can also see that both pentagons are symmetric about line QU.

Since measure of angle UQX is 45 degree, therefore, the measure of angle UQR will be 45 degrees as well.

You might be interested in

Jack and jill went on their first date to chili's. Their food bill totaled $32.00 plus the 15% tip they needed to pay the waitre

Vlad1618 [11]

A) 15% of $32.00 is $4.80.
B) all together he will be paying $36.80.
i hope this helped, good luck!

5 0

3 years ago

Avery made a large pot of chili and she plans to divide the chili equally into smaller containers if the pot contains 25 1/2 cup

serious [3.7K]

Answer: 5.1 rounded to 5

7 0

3 years ago

Solve for x<br> y=7x−7z−9

juin [17]

y=7x−7z−9

7x = y + 7z + 9

x = y/7 + z + 9/7

5 0

4 years ago

Combine like terms.

Stolb23 [73]

The correct answer should be A because you have to have a common denominator in order to solve so you take 5/6x and 4/6x and solve.

6 0

3 years ago

Part I: Measuring Parts of a Circle

cluponka [151]

Answer:

case a) The approximate circumference of circle is $5.9\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=2.95$

case b) The approximate circumference of circle is $6\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3$

case c) The approximate circumference of circle is $6.24\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3.12$

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

$P=5s$

where

$s=1.18\ units$

substitute

$P=5(1.18)=5.9\ units$

therefore

The approximate circumference of circle is $5.9\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=5.9/2=2.95$

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

$P=6s$

where

$s=1\ units$

substitute

$P=6(1)=6\ units$

therefore

The approximate circumference of circle is $6\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6/2=3$

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

$P=12s$

where

$s=0.52\ units$

substitute

$P=12(0.52)=6.24\ units$

therefore

The approximate circumference of circle is $6.24\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6.24/2=3.12$

<em>Conclusion</em>

We know that

The exact value of the ratio $\frac{C}{D}$ is equal to

$\frac{\pi D}{D}=\pi$

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

4 0

4 years ago