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
stealth61 [152]
2 years ago
8

Angle FEG is similar to triangle IHJ. Find the value of X.

Mathematics
1 answer:
Oliga [24]2 years ago
5 0

Answer:

x = 14.8

Step-by-step explanation:

As these triangles are similar, every side and angle corresponds and this is key to calculating this equation.

First, look at the side that is labeled x + 8 and find the corresponding side on the other triangle. Write this out as a fraction as shown below. Now find two corresponding sides that are both marked (the base lines) and write them out as a fraction as well (note that which ever triangle you are solving for, it's numbers will go on the top of the fraction)

\frac{x + 8}{36} = \frac{38}{60}

We want to get the x by its self and at the moment it is divided by 36. To remove the 36, we need to multiply both sides of the equation by 36

36 x \frac{x + 8}{36} = \frac{38}{60} x 36

This cancels out both the 36s on the left leaving us with

x + 8 = \frac{38}{60} x 36

all that needs to happen now is to remove the +8 so we are just left with x. to do this, just subtract 8 from both sides and we are left with

x = \frac{38}{60} x 36 - 8

calculate 38 ÷ 60 x 36 - 8 = 14.8

∴ x = 14.8

I hope this was helpful and not too long :-)

You might be interested in
Given each scenario, identify an appropriate type of chart or plot that you would use to determine the answer. (e.g. pie chart,
satela [25.4K]

Answer:

a) dot plot

b) scatter plot

c) bar graph

d) scatter plot

e) histogram

f) pie chart

g) pie chart

Step-by-step explanation:

a) Cholesterol level for 100 males is observed, there is no grouping of people based on different range of cholesterol level, so the best chart for this dataset of 100 males will be a dot plot that shows all the 100 men’s cholesterol level on the chart and helping in depicting the trend as well.

b) For correlation of two factors the best graph is the scatter plot. If the direction of scatters is from lower left to upper right, then the relation is positive. But if the direction of the scatter points is from upper left to lower right then the relation is negative. Thus the best graph for it is scatter plot

c) A bar graph helps to plot the years on the x axis and the harvest on the y axis. A bar for each year is plotted and the length of the bar helps identify the value of yearly harvest.

d) For correlation of two factors the best graph is scatter plot. If the direction of scatters is from lower left to upper right, then the relation is positive. But if the direction of the scatter points is from upper left to lower right then the relation is negative.

Note: After question d) I have divided the questions into e), f) and g) as can be understood.

e) We want to understand the distribution of yearly household incomes in Tippecanoe County for 2012.

In order to understand the distribution of the household income a histogram can be used for the same. Continuous intervals of income can be formed. The bars of each range can be drawn and the distribution can be observed. If each range has same proportion of people the distribution is uniform, is it is lower at the extreme values and higher at the middle values then the distribution is normal and so on, such interpretations can be drawn from such a graph.

f) A poll of 200 undergraduates was taken. The respondents were asked to list all the modes of transportation used going from their home to campus.

Each mode of transportation can form one segment of pie chart. Thus pie chart helps in this kind of categorical data. Each segment size in the pie circle corresponds to the proportion of people in that segment.

g) What is the percentage of Indiana vehicles that are small passenger cars, large passenger cars, trucks, SUVs, and other types?

A pie chart can show the percent of each type of categories of cars. Each segment size in the pie circle corresponds to the proportion of people in that segment

Hope this helps!

3 0
2 years ago
What is a forecast error
Mama L [17]

Answer:In statistics, a forecast error is the difference between the actual or real and the predicted or forecast value of a time series

Step-by-step explanation:find the Mean Absolute Percent Error (MAPE) of your forecast. Statistically MAPE is defined as the average of percentage errors.

4 0
3 years ago
Explain how to get the variable alone in each question k-13=29
nadya68 [22]

Add 13 to both sides, which leaves you with k=42.

7 0
3 years ago
Read 2 more answers
It took Mariel two hours to complete 13 pages in a workbook she completed 7 1/2 pages in the first hour how many pages does he c
Elena-2011 [213]

B 5 1/2

Hope it helped!!!

7 0
2 years ago
Read 2 more answers
3. Below is Linbell's weekly work
Flura [38]
42
It’s 42 since if you would convert this
7 0
3 years ago
Read 2 more answers
Other questions:
  • Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 f
    15·2 answers
  • A clear explanation of how to solve the equation below would be appreciated.
    13·1 answer
  • What is a common ratio of the geometric sequence whose first term is 5 and second term is 35?
    13·2 answers
  • What is the amplitude of the function graphed?
    6·1 answer
  • Solve 2sin^2x=sinx, if 0
    11·1 answer
  • NEED THIS ASAP PLZZ
    15·1 answer
  • What is the answer please due in 15 mins
    10·2 answers
  • 10 points
    6·1 answer
  • How is this excerpt important to the poem as a whole?
    13·1 answer
  • Add.<br> 7+(-7)= help help help
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!