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3 years ago

If the area rectangle below us 39 square feet find the x value

Mathematics

1 answer:

Leya [2.2K]3 years ago

7 0

Answer:

x=5 and x=-11

Step-by-step explanation:

(x-2)(x+8)=39

$x^2+6x-16=39$

Subtract 39 from both sides

$x^2+6x-55=0$

Factor:

(x-5)(x+11)=0

Set factors to 0.

x-5 =0

x+11 =0

x=5, x=-11

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If triangle RST and triangle XYZ are similar, which statement must be true?

Evgen [1.6K]

If triangle RST and triangle XYZ are similar, the statement that must be true is :
Angle R equals angle X

Triangle R S T
Triangle X Y Z

those three angles will be similar in this case

hope this helps

4 0

3 years ago

Read 2 more answers

Find the sum or difference 5/6 + 4/9

Naily [24]

The closest option to the actual answer is a.

1 5/18 is the actual answer.

If you make both the denominators the same, then you can actually add the fractions together.

To make both of the denominators the same, you need to multiply 5/6 by 9 and 4/9 by 6, which would result in 45/54 + 24/54= 69/54 = 23/18. If we convert it to a mixed fraction, it would result into 1 5/18.

6 0

3 years ago

Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. Sixty-fi

Levart [38]

Answer: A. The number is a sample statistic because it is a numerical description of all of the passengers that survived.

Step-by-step explanation:

A population is simply similar items or events that a researcher or an experimenter is interested and wants to carry out an experiment on.

A statistic is simply referred to as the piece of information gotten from the population while a sample statistic is the piece of statistical information which a researcher will be able to get from the statistic.

In this scenario, the number is a sample statistic because it is a numerical description of all of the passengers that survived.

8 0

3 years ago

The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

3 years ago

TWO points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6 cm long, find the scale used to

dezoksy [38]

Answer:

The scale used to draw the plan is 1: 200.

Step-by-step explanation:

Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:

12 m = 12 cm x 100 = 1200 cm

1200/6 = 200

Therefore, the scale used to draw the plan is 1: 200.

5 0

3 years ago