All categories

3 years ago

A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.

1 answer:

6 0

Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6

The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.

You might be interested in

20 apartments on 4 floors = apartments per floor

IRISSAK [1]

Answer:

Step-by-step explanation:

Take 20, and divide it by 4.

5 0

3 years ago

Read 2 more answers

Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.

vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is $\frac{1}{8}$ x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + $\frac{1}{8}$ x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

8 0

3 years ago

Read 2 more answers

The polygon below are similar. solve for x and y

velikii [3]

We would need the info about the lengths of the sides of said polygon.

5 0

3 years ago

Read 2 more answers

1. Select the point that are on the graph of the line 2x+4y=20.

mr Goodwill [35]

Answer:

A is the correct answer

Step-by-step explanation:

5 0

3 years ago

Kim asked the first 50 kids to school in the morning how they feel about waking up early. she uses their response to predict the

True [87]

Kim's method of sampling the students in the given scenario is said to; It is not a random survey.

<h3>What is a random sample?</h3>

Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.

In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.

Now, Kim's method is not random because it is biased as only those who came earliest were asked.

Read more about Random Survey at;brainly.com/question/251701

#SPJ1

4 0

2 years ago