1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elena-14-01-66 [18.8K]
3 years ago
14

Use similar triangles ABC and XYZ to find the missing height h. around to the nearest tenth if necessary.

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

Therefore,

The height is 23.3 ft.

Step-by-step explanation:

Given:

ΔABC ~ ΔXYZ

AC = 108.5 ft

BC = h

XZ = 14 ft

YZ = 3ft

To Find:

h = ?

Solution:

Δ ABC ~ Δ XYZ….Given  

If two triangles are similar then their sides are in proportion.  

\dfrac{AB}{XY} =\dfrac{BC}{YZ}=\dfrac{AC}{XZ} \textrm{corresponding sides of similar triangles are in proportion}\\  

Substituting the values we get

\dfrac{BC}{YZ}=\dfrac{AC}{XZ}

\dfrac{h}{3}=\dfrac{108.5}{14}\\\\h=\dfrac{325.5}{14}=23.25=23.3(nearest tenth)

Therefore,

The height is 23.3 ft.

You might be interested in
Please help me with the correct answer !!!
Nataly [62]
The answer would be D
6 0
3 years ago
Martha earned a gross pay of $1,215,60 last week. Using the fact that Social Security tax is 6.7% of gross pay, determine the
scoray [572]

Answer:

c) $ 75.37

Step-by-step explanation:

The correct question is:

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the

amount of Social security tax deducted from Martha's gross pay

a $7.54

b. $65.37

c. $75.37

d. $75.40

<u>ANSWER: </u>

<em>Martha's gross pay </em>= $ 1,215.60

<em>Social Security Tax </em>= 6.2%

<em><u>Calculate Social Security tax:</u></em>

6.2% of 1,215.60

6.2/100 x 1,215.60 = $ 75.37

Therefore, the correct answer is option c: $ 75.37

!!

6 0
3 years ago
Three more than four times a number is 15
vodka [1.7K]
You can model this with the equation 4x+3=15 since it is a number (x) times 4 with 3 added and equals 15.
Subtract 3 from both sides
4x=12
Divide both sides by 4
x=3
7 0
3 years ago
Read 2 more answers
What are the values of x and y?
tresset_1 [31]

Step-by-step explanation:

y is easy.

it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.

so, Pythagoras :

y² = 8² + 6² = 64 + 36 = 100

y = 10

x is a bit more complex.

I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.

so, if we call the segments of the Hypotenuse a and b with a = 6, we have

x = a + b = 6 + b

height (8) = sqrt(a×b) = sqrt(6b)

therefore,

6b = height² = 8² = 64

b = 64/6 = 32/3 = 10 2/3 = 10.66666666...

so,

x = 6 + 10.66666... = 16.666666666...

round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67

6 0
2 years ago
What is the volume of this prism?
Ipatiy [6.2K]

Answer:

56.3

Step-by-step explanation:

The third one.

7 0
2 years ago
Read 2 more answers
Other questions:
  • At a school pep rally the ratio of students who wore red to those who wore yellow is 7 to 3 their are 300 students at the rally
    7·1 answer
  • Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a
    7·1 answer
  • the length of a rectangle is 4 less than twice the width. the perimeter of the rectangle is 34 feet. find the length and width o
    6·1 answer
  • Please help me guys :(((((((
    9·1 answer
  • 2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you
    11·1 answer
  • Somebody please Help me with my spring break packet Plz!!!!!!
    8·2 answers
  • Point B is on line segment AC . Given AB=3x,AB=3x, BC=4x+8,BC=4x+8, and AC=5x+10,AC=5x+10, determine the numerical length of AC
    7·2 answers
  • Help me ! Please I’m trying to get pass this !
    14·2 answers
  • What is the ratio 15 : 75 in lowest terms?<br><br> 1 : 5<br><br> 2 : 5<br><br> 1 : 4<br><br> 3 : 5
    12·2 answers
  • An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!