Solve for x. Please look at the picture and answer it. Thank you.

Geometric shapes are mathematical shapes that include squares and triangles

The side lengths of a square are congruent, and the adjacent sides are perpendicular.

So, we start by calculating the side lengths using the following distance formula

[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]

Using the above formula, we have:

[tex]AB = \sqrt{(3-2)^2 + (4+2)^2} = \sqrt{37[/tex]

[tex]BC = \sqrt{(2+4)^2 + (-2+1)^2} = \sqrt{37[/tex]

[tex]CD = \sqrt{(-4+3)^2 + (-1-5)^2} = \sqrt{37}[/tex]

[tex]DA = \sqrt{(-3-3)^2 + (5-4)^2} = \sqrt{37}[/tex]

The above shows that the side lengths of the square are congruent.

Next, calculate the slope of the sides using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m_{AB} = \frac{4 +2}{3 -2} = 6[/tex]

[tex]m_{BC} = \frac{-2 + 1}{2+4} = -\frac 16[/tex]

[tex]m_{CD} = \frac{-1 -5}{-4+3} = 6[/tex]

[tex]m_{DA} = \frac{5 -4}{-3-3} = -\frac 16[/tex]

Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.

The above highlight, and the equal side lengths show that the figure (1) is a square

The legs of a right isosceles triangle are congruent, and the legs are perpendicular.

So, we start by calculating the lengths of the legs using the following distance formula

[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]

Using the above formula, we have:

[tex]XY = \sqrt{(5-4)^2 + (-1-4)^2} = \sqrt{26[/tex]

[tex]XZ = \sqrt{(5-0)^2 + (-1+2)^2} = \sqrt{26[/tex]

The above shows that the legs of the right isosceles triangle are congruent.

Next, calculate the slope of the legs using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m_{XY} = \frac{5-4}{-1 -4} = -\frac{1}{5}[/tex]

[tex]m_{XZ} = \frac{5-0}{-1+2} = 5[/tex]

Notice that the slopes are opposite reciprocal.

The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle

Read more about geometric shapes at:

https://brainly.com/question/14285697

Answer:

12

Step-by-step explanation:

Answer:

The perimeter is the outside of the rectangle

Step-by-step explanation:

You see this by looking at the outside and the answer is 4 by 3

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf{y=4x+3}}[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given the slope of the line and its y-intercept.

So, let's find the equation.

The y-intercept is written in the form (0, b).

No worries! b is the y-intercept.

Thus, the y-intercept equals 3.

Now, let's find the equation of the line with a slope of 4 and a y-intercept of 3.

We can write the equation in Slope-intercept form:

y=mx+b, where m stands for the slope and b stands for the y-intercept.

Since we have both m and b, we can just plug the given values:

y=4x+3 ✓

Hope you could understand everything.

#CarryOnLearning

Answer:

because it's an odd exponent

Step-by-step explanation:

-2^3 = -(2*2*2)

(-2)^3 = (-2)*(-2)*(-2)

if it was ^4 the sign would be flipped:

-2^4 = -(2*2*2*2) = -16

(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16

The way to put this is that any negative base raised to an odd-numbered power, will result in a negative result, whereas any negative base raised to an even-numbered power, will result in a positive result, with the EXCEPTION of a negative base written WITHOUT grouping symbols. For instanse:

[tex]\displaystyle -1000 = -10^3 \\ -1000 = [-10]^3 \\ \\ BUT \\ \\ 10000 ≠ -10^4\:[-10000 = -10^4] \\ 10000 = [-10]^4[/tex]

I hope you know the differense now, and as always, I am joyous to assist anyone at any time.

Answer:

90+15x=225

Step-by-step explanation:

90 already saved plus 15 an hour equals 225

Answer:

x = 9

Step-by-step explanation:

8 : 3 = 24 : x

=> 8/3 = 24/x

=> x = 24 x 3 / 8

=> x = 3 x 3

=> x = 9

Answer:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Step-by-step explanation:

Answer:

46 copies I guess

Step-by-step explanation:

253÷5.45 =46

Correct me if i wrong

Answer:

46.422

Step-by-step explanation:

The answer is 46.422 because it's asking for how many copies per minute. And since we know there are 253 copies, we will divide 253 by 5.45. When you divide those you get 46.422

Answer:

a = 6

b = 7

Step-by-step explanation:

Since both 36 and 49 are perfect squares, you can find their square roots which are 6 and 7.

To check to see if it is correct, replace the a with 6 and replace the b with 7, then evaluate the exponents.

Ok so, 42 ft. by 42 ft.

$25 per square yard

1 square yard = 9 square feet

The total square footage is 1,764 ft.

Total square yards is 196.

The total cost would be $4,900.

Answer:

32 by using triangle taerem

Answer:

22 inches

Step-by-step explanation:

Diameter = 2*radius = 2(11) = 22 inches

Answer:

It is 45 degree angle

Step-by-step explanation:

AB is the tilted angle of the triangle

BC is the height and the vertical part of the triangle

If AB is 10 then BC is 5 and AC is possibly about 6-8

If that is so then 2 right triangles is a square

A square has 90 degree angles on any angle

Divide 90 by 2 which is 45 because a right triangle is half of a square

Therefore angle ABC is 45 degrees

Answer:

the third root

Step-by-step explanation:

Answer:

28 cups

Step-by-step explanation:

If 7 cups will only fill 1/4 of her pot, multiply 4 by 7 to get 28.

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Step-by-step explanation:

remember, that a/a = 1, and this is always the "whole" in such fraction scenarios.

in our case here : 9/9 or 3/3.

4 books for 2/9 of his money.

8 books for then 2× 2/9 = 4/9 of his money.

that is together

12 books for 6/9 = 2/3 of his money.

that leaves 3/9 = 1/3 of his money for the 2 identical bags.

so, 1/3 of his money for 2 bags.

how many bags for the whole (3/3) money ?

1/3 × x = 3/3

x = 3

he could have bought 3×2 = 6 bags with the original sum of money.

Answer:

I think your answer is 73".

I think it will help you

Solution:

Step-1: Find the volume of the rectangular prism.

Step-2: Find the volume of the small cube.

Step-3: Divide.

Thus, 560 cubes are needed to fill the rectangular prism.

Answer:

7 pieces

Step-by-step explanation:

Hope it helps.

Answer:

18, 19, and 20.

Step-by-step explanation:

Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.

Answer:

Let ABC be a triangle such that CA is produced to meet at E.

We know, an exterior angle of a Triangle is equal to non- adjacent interior angle, so

8x - 10 = x + 15 + 2x + 20

or, 8x - 3x = 35 + 10

or, 5x = 45

or, x = 9

Answer:

times them

Step-by-step explanation:

all the numbers

Answer:

Here is an example: if we have a rectangle that has a length 3 and a height of 4 and the scale drawing with a scale factor of 2, how many times bigger is the scale drawings area? The original shape is 3 by 4 so we multiply those to find the area of 12 square units.

Answer:

9

27

Step-by-step explanation:

the scale factor of area is 3² = 9

the scale factor of volume is 3³ = 27​

Answer:

A

Step-by-step explanation:

No explaintion sorry.

Hope this helps!

The conditions for inference is not met in the question due to the fact that the large count condition is not met.

This is the condition in statistics that states that the numbers of the successes and the failures have to be greater than 10 for there to be a normal distribution.

Using this formula n(1-p) ≥ 10. The probabilioty is 95%, therefore it would be less than 10

Read more on statistics here: https://brainly.com/question/15525560

Answer:

b = 5

Step-by-step explanation:

Area of the triangle = b * 12/2 = 6b

Area of the rectangle = 9 * 12 = 108

Total area = 6b + 108  = 138

6b = 138 - 108 = 30

so b = 30/6 = 5