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VARVARA [1.3K]
3 years ago
15

​ Parallelogram ABCD ​ is a rectangle.

Mathematics
2 answers:
Alla [95]3 years ago
7 0

Answer:  Option A and B are correct

Explanantion:

Properties of rectangle says  Diagnol of rectangle are equal. Hence, option A is correct beacuse it is satisfying the property of rectangle

We have two diagnols Ac and BD

And sides of rectangle  are perpendicular hence, option B is satisfying the property of rectangle so it is correct

Option C is incorrect because Diagnols of rectangle are not perpendicular

Option D is incorrect because sides of rectangle are not equal to the diagnol.

timurjin [86]3 years ago
3 0
The first two are correct
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What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?
natta225 [31]

Answer:

area = base \times height \\  = 10.5 \times 6 \\  = 63 \:  {ft}^{2}

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Everyone at camp takes turns being on lunch duty. You and your friend are in charge of making sandwiches. you both can make 1 sa
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This is due in 10 minutes please help me
valkas [14]

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150

Multiplying both sides by 100, we get

7x+16x+27x=15000

50x=15000

Dividing both sides by 50, we get

x=\dfrac{15000}{50}

x=300

So, the amount invested at 7% is 300.

The amount invested at 8% is

2(300)=600

The amount invested at 9% is

3(300)=900

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

7 0
3 years ago
Please. Answer Fast! Use composition to determine if G(x) or H(x) is the inverse of F(x) for the
s344n2d4d5 [400]

Answer:

A. H(x) is an inverse of F(x)

Step-by-step explanation:

The given functions are:

F(x)=\sqrt{x-2}

G(x)=(x-2)^2

H(x)=x^2+2

We compose F(x) and G(x) to get:

(F\circ G)(x)=F(G(x))

(F\circ G)(x)=F((x-2)^2)

(F\circ G)(x)=\sqrt{(x-2)^2-2}

(F\circ G)(x)=\sqrt{x^2-4x+4-2}

(F\circ G)(x)=\sqrt{x^2-4x+2}

(F\circ G)(x)\ne x

Hence G(x) is not an inverse of F(x).

We now compose H(x) and G(x).

(F\circ H)(x)=F(H(x))

(F\circ H)(x)=F(x^2+2)

(F\circ H)(x)=\sqrt{x^2+2-2}

We simplify to get:

(F\circ H)(x)=\sqrt{x^2}

(F\circ H)(x)=x

Since (F\circ H)(x)=x, H(x) is an inverse of F(x)

3 0
3 years ago
Lin runs 5 laps around a track in 8 minutes.
andrezito [222]

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

5 0
3 years ago
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