You have two right triangles that are similar. The base of the first is 8 and the height is 12.
If the base of the second triangle is 22, what is the height of the second triangle?
A. 33 units
B. 26 units
C. 14.7 units
D. 4.4 units

Answers

Answer 1

Let the height be x

[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]

[tex]\\ \sf\longmapsto 12x=22(8)[/tex]

[tex]\\ \sf\longmapsto 12x=176[/tex]

[tex]\\ \sf\longmapsto x=14.7units[/tex]

Answer 2

Step-by-step explanation:

X :

8/12 = 22/x

x • 12 = 22 • 8

12x = 176

x = 14.7units (C.)


Related Questions

Chang works as a tutor for $11 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 90 hours at his two jobs. Let t be the number of hours Chang worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answers

Can you show more information please? I need more.

T = 90t + 90w

Step-by-step explanation:

90t = 90x11 = 990

90w = 90 x 13 = 1170

T = 90t + 90w

T = 990 + 1170

T = 2160

Hello please help straight up answer I’ll give points thanks I’m just trying to pass

Answers

Answer:

I think it's 34°.

Step-by-step explanation:

The angle to the right of 3x+7 is the alternate interior angle to 2x+3, meaning that they are the same.

Now, that angle, 2x+3, and 3x+7, are on a line, which I'm assuming is a straight line with an angle of 180°. If it is, then (2x+3)+(3x+7)=180

Now you can solve for x.

2x+3+3x+7=180

5x+10=180

5x=170

x=34

Therefore, x=34°

Hope I helped!

34/23 as a decimal rounded to the nearest tenth

Answers

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

Answer:

x=7.85

Step-by-step explanation:

Give the triangles we know that:

[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]

Now we can substitute like usual

[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]

Now we simplify the fraction in the middle

the middles fraction will =13/6

Therefore:

[tex] \frac{78}{fh} = \frac{13}{6} [/tex]

so 13fh=468

Therefore: fh=36

Now we can use the Pythagorean theorem

so

[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]

so gf=18√5

so 5x+1=18√5

so 5x=-1+18√5

so x=7.85

(I'm not too sure about this one tho)

A box contains four bags of sugar. The total mass of all four bags is 6 kg. What is the mass of each bag in grams?

Answers

The answer is 1500 grams

help me plssssssssssssssssssssss

Answers

Answer:

p < 319

Step-by-step explanation:

need help solving this

Answers

Answer:

  x = (√21)/2

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.

  x = (√3)/2·√7

  [tex]\boxed{x=\dfrac{\sqrt{21}}{2}}[/tex]

a natural number multiplied by itself. is it possible for the result to have 66 as the last 2 digits.
yes or no that is all i need

Answers

Yes yes yes yes yes yes yes yes

At Cheesecake Factory, the cost of your meal before the tip is $77.23. You leave a 15% tip. How much
money did you leave for tip? What is the total cost of your meal?

Answers

Answer:

$88.81

Step-by-step explanation:

to find tip, multiply 77.23 and .15 to get $11.58

total cost = meal + tip

total cost = 77.23 + 11.58 which equals $88.81

What are the center and radius of the circle?

Answers

Answer:

R = 4

Step-by-step explanation:

Beause when we say (-1,4)

It say the center of it

HELLO?? WHY ISNT ANYONE HELPING ME!!?!?!? HELP ME

Answers

Question 9 is 1 4/10 or 1 2/5. Question 8 is greater than. Question 7 is greater than. Question 5 is less than

Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation . ( Will Mark Brainliest if answered correctly).​

Answers

Step-by-step explanation:

I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:

1) R1 = d(O,S)

2) R2 = d(O,J)

3) R3 = d(O,M)

With O being the origin of the reference system.

*Note: d(A,B) means distance between point A and point B

After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.

After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.

Answer:

Step-by-step explanation:

Congruent

Shift right 1 unit and up 5 units

Rotate 90 degrees clockwise about (-1, 2)

Or

just rotate 90 degrees clockwise about (1, -1)

Find all real values of $x$ such that $x^2-5x + 4=0$.

Answers

Answer:

x=4 && x=1

Step-by-step explanation:

x^2 - x - 4x + 4=0

x(x-1) - 4(x - 1)=0

(x-4)(x-1)=0

X=4 and x=1

All real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the quadratic equation is, x²-5x+4=0

Any equation of form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have to find the value of x as,

x²-5x + 4=0

x² - x - 4x + 4=0

x(x-1) - 4(x - 1)=0

(x-4)(x-1)=0

X=4 and x=1

Thus, all real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ6

HELP ANSWER PART A AND B

Answers

Answer:

part A: median is 12

part B: interquartile rage is 10

Step-by-step explanation:

Part A: to find your median on a box and whisker plot, you just need to look at your middle line in your box. In this case it's 12.

Part B: to find your interquartile range on a box and whisker plot, you subtract your Q1 and Q3. Your Q1 and Q3 will be the two outside lines that make up the rest of your box, in this case would be 6 and 16. To find your Q1 if you don't already have your plot set up, you separate the numbers that are given to you in half and find the median of each side. The first half will be your Q1 and the second half your Q3.

Solve for x: x /6−y/3= 1
SHOW WORK

Answers

[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]

There are 30 cats and 50 dogs at the local animal shelter. Of these animals, 15% were adopted last week. How many animals were adopted?

Answers

12 animals were adopted
ANSWER = 12 Animals adopted

Work:
30 + 50 = 80
80 x .15 = 12

Simplify -3(-4x + 2)

Answers

Step-by-step explanation:

12x - 6 is your answer in simplified form

Solve each system using substitution or additions
(elimination).

-x+2y=-1
5x-10y=6

Answers

Answer:

Step-by-step explanation:

L1 -x + 2y = -1

L2 5x - 10y = 6

-x + 2y = - 1 multiply by -1

x - 2y = 1 multiply by 5

5x - 10y = 5 is similar that 5x - 10y = 6

The system has no solution

For the school play, tickets cost $9.50 for adults and $3 for kids under 12. What would be the total cost for 8 adult tickets and 21 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?

Answers

Answer:

$1399.5aa +3kk

Step-by-step explanation:

a)

8 adult tickets cost 8($9.50) = $76

21 kids tickets cost 21($3) = $63

The total cost of these tickets is $76 +63 = $139.

__

b)

aa adult tickets cost 9.50aa

kk kids tickets cost 3.00kk

The total cost of these tickets is 9.50aa +3.00kk.

_____

Additional comment

We ordinarily expect a variable to be a single letter. This problem statement defines each variable using a double letter, so that is what we have used. (Sometimes Brainly doubles up variable content in copied text, so we suspect that may have happened here.)

-5x + 7y = -3
-3x - y = 19

Answers

The answer is letter c

Answer:

x=-5, y=-4

Step-by-step explanation:

to solve this system of equations, first multiply the second equation by 7 to get -21x-7y=133. this allows for the y terms in both equations to cancel once you add the two equations together.

adding these together, the y term cancels and you are left with -26x=130. so dividing both sides by -26 will get x=-5. then plug this x value back into either original equation (i chose -3x-y=19) so solve for y.

-3(-5)-y=19 so -y=4 so y=4

so the answer to the system of equations is x=-5 and y=-4

A Math book is 6. 15 centimeters. How thick will 21 Math books on a shelf be? A. 130.15 cm B. 129.16 cm. C. 129. 15 cm. D. 128. 16 cm​

Answers

Multiply:

6.15 x 21 = 129.15

Answer: C. 129.15 cm.

Help help math math good luck

Answers

Angle 4 is 101°
Just find the last angle in the triangle and subtract that from 180.
The last angle in the triangle is going to be 180-52-49=79
Now subtract that from 180 since a straight line is 180°.
180-79=101
Also, your hint just says to add the two angles inside the triangle together. 52+49=101. So, there is two ways of doing it

help me plssssssssssssss

Answers

Answer:

C .......

Step-by-step explanation:

Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?

Answers

Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870

MAX POINTS!!!! Please help me solve the problem in the picture and tell me what I’m doing also explain each step.

Answers

Answer 0.4
Regroup terms: 0.8 - j= -0.9j + 0.76
Add j to both sides: 0.8 = -0.9j + 0.76+j
Simply : 0.8=0.1×j+0.76
Subtract: 0.76 from both sides 0.8-0.76=0.1x j
Simplify 0.8−0.76 to 0.04: 0.04= 0.1×j
Divide both sides by 0.1: 0.04/0.1=j
Simply 0.04/0.1 to 0.4: 0.4 =j
Switch sides: j= 0.4

I know myself that the answer is 0.4

The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w

Answers

Answer:

-21=-4w

w=5.25

but you don’t want decimals

so- you round down

w=5

Step-by-step explanation:

You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number”  is to divide

you do the same thing to both sides

so divde each side by -4

-21/-4 = 5.25

or with it rounded down since it’s under a five

It’s 5 with the decimals removed

i hope this helps




Help help help math math math

Answers

Answer:

1/4

Step-by-step explanation:

the x decreases by 1 the y decreases by 4

Answer:

-4

Step-by-step explanation:

Image attached giving 25 points please help

Answers

Irrational is the answer

QUESTION 17 PLEASE HELP ME ASAPP

Answers

Answer: change over time
Explanation: it is decreasing in height therefore is decreasing in altitude

Hey there!

• If it CHANGES it means your temperature/time changes a bit overtime

• If it CONSTANT your temperature/time remains the same

So, basically to this question it was INCREASED then it was DECREASED

Therefore, your answer is: “Option A. “

Because it didn’t stay same

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Tropical dried fruit costs $1.50 per pound and regular dried fruit costs $0.90 per pound. You want to create a mixed bag of tropical dried fruit and regular dried fruit that is worth $1.30 per pound. How many pounds of tropical dried fruit do you need if you have already purchased 50 pounds of regular dried fruit?

Answers

t = total amount of lbs of Tropical dried fruit

m = total amount of lbs of mixed bag

[tex]\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}[/tex]

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