What is the value of x

What Is The Value Of X

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

This uses the altitude on hypotenuse theorem

The 2 triangles formed are similar to the given triangle and to each other.

Δ ADB ~ Δ BDC

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values

[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )

4x² = 100 ( divide both sides by 4 )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5


Related Questions

Please help.



What is the solution to this system of equations?
3x + y = 17
x + 2y = 49
A.
It has no solution.
B.
It has infinite solutions.
C.
It has a single solution: x = 15, y = 17.
D.
It has a single solution: x = -3, y = 26.

Answers

Answer:

B. It has infinite solutions.

I believe so

The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.

Answers

whats the question you only stated the problem

Answer:Not exactly sure what the question is but...

Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.

Hope this helps

Figure B is a scaled copy of Figure A. Select all of the statements that must be true:

Figure B is larger than Figure A.

Figure B has the same number of edges as Figure A.

Figure B has the same perimeter as Figure A.

Figure B has the same number of angles as Figure A.

Figure B has angles with the same measures as Figure A.

Item at position 2
ANSWER QUICKLY PLEASE

Answers

Answer:

Same number of edges

Same number of angles

Angles woth same measures

a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement

Answers

Answer:

True

Step-by-step explanation:

Given the expression

y = 19.75x

let us see the solution from this angle

we know that

speed=distance/time

distance=speed*time

i.e quantity=rate*time

y = 19.75x

y=the quantity =number of gallons

19.5= the rate of flow

therefore

x= the time in  minutes

Find the y-intercept of the equation y = -0.5x - 3

Answers

Answer: -3

Step-by-step explanation: When you graph this that’s what you get

Answer:

-3

Step-by-step explanation:

the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:

y = -0.5x0 -3

Now you can ignore that first part of the equation because it equates to 0, and so you get:

y= 0 - 3

which equals:

y=-3

Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x

Answers

Answer: x = -5 because I isolated the variable
-5 + 25x - 40x - 10 = -4x - 8x
-15x - 15 =-12x
-15 x + 12x = 15
-3x = 15
x = -5

Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32

Answers

x2+12x+32

Factor out 2 from the expression

2(x+6x+16)

Collect like terms

2(7x+16)

Now we do the same thing only different way ok

x+6x

If a term doesn't have a coefficient , it is considered that the coefficient is 1

1x+6x

Collect like terms by adding their coefficients

(1+6)x

Add the numbers

7x

1+6=7

To add the numbers using a number line, start from zero.

Since 1 is positive, move the point 1 unit to the right.

Since 6 is positive, move the point 6 units to the right

The result is 7

Answer : 2(7x+16)

That's it . Hope it  wasn't too hard to understand?

Please give me as brainliest

One week, seventy-two percent of the animals that cam to a veterinary hospital were dogs. If there were 230 animals total, how many were dogs?

Answers

Answer:

166/230 or 83/115

Step-by-step explanation:

72/100 converted to  ?/230

100 to 230 is 2.3*100

so 72*2.3=165.6

166/230 simplify 83/115

HELP PLEASE IM ON THE EDGE OF FAILING

Answers

Answer:

65

Step-by-step explanation:

because at the top it is 65 so at the bottom its....

Answer:

80°

Step-by-step explanation:

Add 65° and 35° together to get 100°

The angles must equal 180° to make a triangle.

180° - 100° = 80°

Hope I helped :)

Please consider Brainliest :)

I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?

30
270
3
90

Answers

Answer:

90 notebooks and folders

Step-by-step explanation:

Find the least common multiple (LCM) or 18 and 15!

18 x 5 = 90

15 x 6 = 90

Therefore, your answer is 90

Hope this helps!

x+7<13.
^^^^^ answer please & show work .

Answers

Step-by-step explanation:

what is the slope of the line that goes through the points (2,-1) and (6,1)

Answers

Answer: The slope is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].

2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].

3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].

4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].

halp me I need halp plz

Answers

Answer:

3     13/20

Step-by-step instructions

Answer:

The correct equation that is shown is number 3. (edited).

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?

Answers

Answer:

25 dollars

Step-by-step explanation:

If 20 percent of the initial price was 5, you can create the equation:

0.2x=5, with x being the regular price.

Multiply both sides by 5:

x=25

Answer:

25$

Step-by-step explanation:

20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5

5 times 5 is 25

25$ was the original price

-c + 5d + 7c - 11d + d - 3c

Answers

The anwser is -4c + 2d

Answer:

3c-5d

Step-by-step explanation:

find the exact values of the following, giving your answers as fractions.

Giving brainliest to the first person to get all right :)

Answers

Answer:

Step-by-step explanation:

The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.

[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

Do that for the next 2:

[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]

and

[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]

Find the additive inverse of -1/8​

Answers

Answer:

1/8

Step-by-step explanation:

(Dont mind me, just need to add more characters LOL)

Anyone no what this means if so please comment the quarter is ending today and I got a few hours to do my missing work

Answers

Answer:

6, 7

Step-by-step explanation:

You buy a gallon of milk. How many cups can you pour from it?

Answers

Answer: 16 cups!

Step-by-step explanation: Hopefully this helped :D

Answer:

16

Step-by-step explanation:

Step 1:

1 gallon = 16 cups     Conversion

Answer:

16 cups

Hope This Helps :)

Hannah bought a sweater on sale for $24. If that was a fourth of the original price what is the original price?

Answers

Answer: 6$

Step-by-step explanation:

well 24 * 4 is 96. so $96

Solve the equation using the Properties of Equality.

Answers

M = 11/24 (hope this helps)

Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 9

square units. Notice that you can divide the rectangle into two squares with equal area. How can you

estimate the side length of each square? Estimate the length and width of the rectangle.

Answers

Answer:

The side length of each square is 2.12 units.

The length ad width of the rectangle are 2.12 and 4.24 units

Step-by-step explanation:

Let the width of the rectangle is x,

So, the length of the rectangle is 2x.

Area of the rectangle = 9 sq. units

[tex]9 = 2x \times x[/tex] [as area = length x width]

[tex]\Rightarrow 9 = 2x^2[/tex]

[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]

[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units

So, width of the rectangle, x= 2.12 units and

the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.

After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.

The area of the rectangle = 9/2=4.5 square units.

Let a be the length of the sides of the square, so

Area [tex]= a^2[/tex]

[tex]\Rightarrow a^2=4.5[/tex]

[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]

Hence, the side length of each square = 2.12 units.

Amanda owns 9 T-shirts, 4 of which are white. If Amanda randomly selects a T-shirt to wear, what is the probability it will be white? Write your answer as a fraction or whole number.

P(white) =

Answers

Step-by-step explanation:

P(white)=4/9 is the probability

Find the exact value for csc225°

Answers

Answer:

[tex]-\sqrt2[/tex]

Step-by-step explanation:

csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]

Point A is at (-6,8) and point M is at (0,0.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer:

(6,-7)

Step-by-step explanation:

the coordinates of point B are (6-7)

Answer:

the first answer is right

Step-by-step explanation:

A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase

Answers

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

Question
Identify the correct graph and solution for the inequality.
10 a <25
(Look at pic)

Answers

i think it is C
explanation:

Answer:

First option

Step-by-step explanation:

First, Solve the inequality:

Divide each side by 10 to cancel out the 10 next to a. It should now look like this: a < 2.5

Find the inequality that matches the solution:

The first option (which literally writes the simplified version of the inequality) is correct, because it matches our simplified inequality above.  

An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?​

Answers

Answer:

Mass of bread crumb is 20 times the mass of the ant..

Step-by-step explanation:

Mass of an ant = [tex]4\times 10^{-6}[/tex] kg

Ant carries a weight of bread crumb to its anthill.

Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg

Ratio of their masses,

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]

Mass of the bread crumb = 20×(Mass of the ant)

Therefore, mass of the bread crumb is 20 times the mass of the ant.

(I WILL GIVE BRAINLYIST)

A student solves the inequality -50 > 55. Each step in the student's solution is shown below. Identify where the student made any errors. ​

Answers

Answer: pick b

Step-by-step explanation:

Answer:

Step 2 and 3

Step-by-step explanation:

:)

HELPP ASAP!! PLS BE SURE THAT THE ANSWER IS CORRECT

Answers

2 inches squared I think
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