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3 years ago

11

In quadrilateral ABCD, diagonals AC and BD bisect one another: What statement is used to prove that quadrilateral ABCD is a para

llelogram? Angles ABC and BCD are congruent. Sides AB and BC are congruent. Triangles BPA and DPC are congruent. Triangles BCP and CDP are congruent.

1 answer:

nadezda [96]3 years ago

7 0

Hello, Segment AP is congruent to segment CP.

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stira [4]

The answer would be 20

6 0

3 years ago

The question of two numbers is eight the sum of the same two numbers is 72 what are the two numbers

Otrada [13]

Answer:

The two numbers are 64 and 8.

Step-by-step explanation:

You meant "quotient" of two numbers, right?

Represent the numbers by x and y.

Then the quotient is x/y = 8, and beyond that we know that x + y = 72.

Solve this for x and y.

If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:

(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.

Since x/y = 8, letting y = 8 results in x = 64.

The two numbers are 64 and 8.

5 0

3 years ago

Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

h = 18cm
V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

<u>Surface Area of a Cylinder</u>

$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=813.3908956...$

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

8 0

2 years ago

Read 2 more answers

Multiply.<br><br> 2/7 x 35 =

Illusion [34]

If you would like to calculate 2/7 * 35, you can do this using the following steps:

2/7 * 35 = 2 * 35/7 = 2 * 5 = 10

The correct result would be 10.

6 0

3 years ago

What is the final balance for the investment? $1000 for 3 years at 6% compounded annually A. $1810.64 B. $4096.00 C. $1060.00 D.

ValentinkaMS [17]

The equation would be y=1000(1.06)^x, plug a 3 in for x, and you get that the answer is D. $1191.02.

4 0

3 years ago