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dedylja [7]
3 years ago
12

ABCD is a rectangle. If AC = 5x + 2 and BD = x + 22, find the value of x.

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0
AC and BD are diagonals so they are congruent to each other and you can set the expressions equal

5x+2=x+22
Then, you need to subtract 2 from both sides to get 5x=x+20

Next, you subtract x from both sides to get 4x=20

Finally, you divide both sides by 4 to get a final answer of x=5

You might be interested in
A countrys population in 1995 was 173 million in 1997 it was 178 million estamate the population in 2005 using the expontial gro
9966 [12]

Answer: the population in 2005 is

199393207

Step-by-step explanation:

The formula for exponential growth which is expressed as

A = P(1 + r/n)^ nt

Where

A represents the population after t years.

n represents the periodic interval at which growth is recorded.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 173 million

A = 178 million

t = 1997 - 1995 = 2 years

n = 1

Therefore

178 × 10^6 = 173 × 10^6(1 + r/1)^2 × 1

178 × 10^6/173 × 10^6 = (1 + r)^2

1.0289 = (1 + r)^2

Taking square root of both sides, it becomes

√1.0289 = √(1 + r)^2

1 + r = 1.0143

r = 1.0143 - 1 = 0.0143

Therefore, in 2005,

t = 2005 - 1995 = 10

A = 173 × 10^6(1 + 0.0143)^10

A = 173 × 10^6(1.0143)^10

A = 199393207

4 0
3 years ago
1/2(15)(13+17) Whats the answer?
lidiya [134]

1/2(15)(13+17)

15/2(13+17)

15/2(30)

= 225

I hoe that's help.

8 0
3 years ago
Can someone please help me with this
krek1111 [17]

Step-by-step explanation:

0.1 repeating is 1/9, so the number is 4 1/9.

5 0
3 years ago
What is the product of 64and 35?
kolbaska11 [484]

Answer:

99

Step-by-step explanation:

 64

+ 35

= 99

6 0
2 years ago
QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

6 0
3 years ago
Read 2 more answers
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