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3 years ago

Given: vu=st, sv=tu prove vx=xt

1 answer:

6 0

Given <span>vu=st, sv=tu

</span>STUV is a parallelogram : If both pairs of opp. sides of a quad. are , then the quad is a parallelogram.

VX, XT = The diagonals of a parallelogram bisect each other.

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a is 1200

We have to find sigma notation showing the infinite growth of the wildflowers.

$wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}$

Formula for infinite sum of GP is $S_{\infty}=\frac{a}{1-r}$

Here, $a=1200,r=\frac{1}{4}$

On substituting the values in the formula of sum we get:

$S_{\infty}=\frac{1200}{1-\frac{1}{4}}$

On simplification we get:

$S_{\infty}=\frac{1200}{\frac{3}{4}}=1600$

Therefore, total sum of wildflowers 1600.

5 0

3 years ago

Read 2 more answers

Fifteen more than z times 6 is 11 less than y times 2

nata0808 [166]

<h3>Given:</h3>

Fifteen more than z times 6 is 11 less than y times 2

<h3>Solution:</h3>

Fifteen more than z times 6 = 6z + 15

11 less than y times 2 = 2y - 11

<h2>Answer:</h2>

6z + 15 = 2y - 11

7 0

3 years ago

Please help. Will give brainliest! No links or your account will be a banned

Firdavs [7]

Answer:

1. 18

2. -8

3. 1

4. 84

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

5 0

2 years ago

A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14 4 1 start fraction, 1,

skad [1K]

The correct question is
<span>A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?

we know that
[volume of the cube]=b</span>³
b=1/4 unit
[volume of the cube]=(1/4)³------> 1/64 unit³

if 1 cube has a volume of ----------------> (1/64) unit³
x cubes--------------------------------> 2 unit³
x=2/(1/64)-----> x=2*64----> x=128 cubes

the answer is
128 cubes

8 0

3 years ago

Read 2 more answers

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 11 feet and

Inessa [10]

Answer: The percentage ≅ 48.4%

Step-by-step explanation:

* Lets revise how to find the volume of a container shaped cylinder

- The volume of any container = area of its base × its height

- The base of the cylinder is a circle, area circle = 2 π r,

where r is the length of its radius

* In container A:

∵ r = 13 feet , height = 13 feet

∴ Its volume = π (13)² × (13) = 2197π feet³

* In container B:

∵ r = 9 feet , height = 14 feet

∴ Its volume = π (9)² × (14) = 1134π feet³

* So to fill container B from container A, you will take from

container A a volume of 1134π feet³

- The volume of water left in container A = 2197π - 1134π = 1063π feet³

* To find the percentage of the water that is full after pumping

is complete, divide the volume of water left in container A

by the original volume of the container multiplied by 100

∴ The percentage = (1063π/2197π) × 100 = 48.3841 ≅ 48.4%

8 0

3 years ago