Answers
Answer:
10
Step-by-step explanation:
Let XY = a
Since,
XY + YZ = XZ
a + YZ = 24
YZ = 24 - a
By angle bisector property:
[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]
Related Questions
Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25
Answers
At the last census, 20% of the people in a town were less than 16 years old, 20% were 16-30, 25% were 31-45, 15% were 46-60, and 20% were over 60. To test to see if the age strucutre of the town has changed a random sample of of 200 residents of the town yields the following results:
Age: <16 16-30 31-45 46-60 >60
Observed Frequency 30 31 37 50 52
Test to see if the age structure has changed (using the 5% level of significance).
Answers
Answer:
kk
Step-by-step explanation:
9 4/7 as an improper fraction
Answers
Simplify the following expression (8x10³) ²=
Answers
Answer:
Step-by-step explanation:
Since it is multiplication inside the parentheses, you can distribute the exponent.
8^2 = 64
(10^3)^2 = 10^6
64 x 10^6 = 6.4 x 10^7
The weights of the first six draft picks for a football team from a recent year are given in the table below.
Player
Weight (in pounds)
314
250
180
250
279
187
What is their average weight?
Answers
Answer:
314+250+180+250+279+187=1460
1460/6= 243 1/3
Step-by-step explanation:
5. Solve for q if 5q - 21 /14= 1.
Answers
q = 0.5
5q - 21/14 = 1
First add 21/14 to both sides to get:
5q = 1 21/14
Simplify the right side:
21/14 = 3/2 = 1 1/2
Now you have 5q = 2 1/2
Divide both sides by 5:
q = 1/2
Which weighs more: a watermelon that weighs 3.4 kilograms or a baby that weighs 9 pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.
Answers
Answer:
The baby weighs more than the watermelon
Step-by-step explanation:
1 pound is about 0.45 kilograms. So there are 3.4 kilograms (3400 grams) which will be 7.50 lbs rounded after converting. 7.50 pounds is less than 9 pounds.
20% of what number is 8
Answers
Answer:
40
Step-by-step explanation:
part %
------- = ----------
whole 100
8 20
--- = ---
? 100
8*100/20
40
Answer: 40
Step-by-step explain:
40
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches.
Select all the equations that represent this situation.
A. 5+x=34.5A. 5 plus x is equal to 34 point 5
B. 5x=34.5B. 5 x is equal to 34 point 5
C. 34.5÷5=xC. 34 point 5 divided by 5 is equal to x
D. 34.5−5=xD. 34 point 5 minus 5 is equal to x
E. x=(34.5)⋅5
Answers
The number line below represents the lengths, in inches, of fish that can be kept when caught on a certain lake. What does the solution set shown on the number line represents in this situation?
A.) a fish can be kept if it’s length is less than 19 inches or greater than 21 inches
B.) a fish can be kept if it’s length is at least 19 inches or not greater than 21 inches
C.) a fish can be kept if it’s length is at least 19 inches and not greater than 21 inches
D.) a fish can be kept if it’s length is less than 28 inches and greater than 21 inches
Answers
Answer:
the answer is the third one.
Step-by-step explanation:
the number line is closed circle and at least means greater than or equal to so the answer is "C".
what is the length of the side HG?
Answers
Answer:
I say 5 cm
Step-by-step explanation:
Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers
Answers
Answer:
Your answer will be (2,4) :)
a person is raising money to go on the marching bands spring tour. He needs to raise $500 so far he has raised $320. What percent of his goal has he attained?
Answers
Answer:
Step-by-step explanation:
500-320 = 180
Can someone please help me I’ll mark brainliest
Answers
Answer:
The trees will be the same size in 12 years
Step-by-step explanation:
given the 3-foot tree can grow 1.5 feet per year
given the seeds can grow 1.75 feet per year
The trees will be the same size but it will take a while To find out how long that take we set up an equation to be
3 + 1.5x = 1.75x
3 = 0.25x
x = 12
x represents for years it take
Answer:
After 12 years both will be in same height
Step-by-step explanation:
Let 'x' be the number of years .
After 'x' years both will be in same height
Genevieve:
Rate of growth per year = 1.5 ft
Rate of growth after 'x' years = 1.5 * x = 1.5x
Height of tree after 'x' years = 3 + 1.5x
Marcus:
Rate of growth per year =1.75 ft
Rate of growth after 'x' years = 1.75 * x = 1.75x
Height of tree after 'x' years = 1.75x
After 'x' years both will be in same height
1.75x = 3 + 1.5x
1.75x - 1.5x = 3
0.25x = 3
x = [tex]\frac{3}{0.25}[/tex]
[tex]x =\frac{3*100}{0.25*100}=\frac{300}{25}[/tex]
x = 12
0.5(1 - 2x) = 4
equivalent equations
Answers
Answer:
x=-7/2
Step-by-step explanation:
hope this helps
if a trip takes 40 minutes when you travel 50 mph how many minutes would it take if you travel 40 mph
Answers
Answer:
Step-by-step explanation:
40 minutes × (50 miles)/(60 minutes) = 100/3 miles
100/3 miles × (60 minutes)/(40 miles) = 50 minutes
Answer:
calcualotro or mayo
Step-by-step explanation:
) A cyclist travels a distance of 90 miles in 5 hours. What was her average speed? 2) How far along a motorway would you travel if you drove at 70 mph for 4 hours? 3) I drive to Bude in Cornwall from Sheffield in about 6 hours. The distance from Sheffield to Bude is 315 miles. What is my average speed? 4) The distance from Leeds to London is 210 miles. The train travels at an average speed of 90 mph. If I catch the 9.30 am train in London, at what time should I expect to arrive in Leeds? 5) How long will an athlete take to run 2000 m at an average speed of 4 metres per second? 6) The distance between Sheffield and Land’s End is 420 miles. a) What is the average speed of a journey from Sheffield to Land’s End that takes 8 hours 45 minutes? b) If Sam covered the distance at an average speed of 63 mph, how long would it take him?
Answers
In a correlational study, ____.
A. one variable is measured and two groups are compared
B. two variables are measured and two groups are compared
C. one variable is measured and there is only one group of participants
D. two variables are measured and there is only one group of participants
Answers
Answer:
Option B, two variables are measured and two groups are compared
Step-by-step explanation:
In a correlation study relationship between two variable is established.
The two variables represents two group.
For instance correlation study is conducted to determine the relationship between two variables X and Y
X and Y are variable
While X represents the group "number of cars passing through a lane"
Y represents the group "width of the road".
Hence, Option B is correct
The following exchange rate is given: £1 = 1.33 dollars. Convert £8 into dollars.
Answers
If £1 = $1.33, £8 is $10.64.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
£1 = $1.33
Multiply 8 on both sides.
£8 = 8 x $1.33
£8 = $10.64
Thus,
£8 is $10.64
Learn more about unit rates here:
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What is the height of this triangle
Answers
Answer:
6.93
Step-by-step explanation:
use a²+b²=c² to find that missing length.
8²=4²+b²
64=16+b²
48=b²
take the square root of 48 and you get 6.93.
James plans to eat cereal in a bowl that is 6 14 inches long, 6 110 inches wide, and 3 15 inches high. What is the total amount of milk needed to fill 50% the bowl?
Answers
Answer would be 59.09 in^3 of milk
Simplify completely
[tex] \frac{2x - 24}{8} [/tex]
A)
[tex] \frac{x - 24}{4} [/tex]
[tex] \frac{x - 12}{4} [/tex]
C) 2x-3
D) x-3
Answers
Answer: A) x-24/4
4/b - 1/2b = -7/4
A. 7
B. -2
C. 0
D. 2
Answers
Experimental/theoretical
Answers
Answer:
200
Step-by-step explanation:
Ella's name appears on the table 2/10 times, so we can multiply the denominator to make it 1000.
10x100 = 1000
If we multiply the denominator by 100, we must do the same to the numerator,
2x100=200
In 1000 draws Ella's name can be expected to come about 200 times.
What is an experiment?An experiment is a way of determining how things may work.
From small sample space of experiments or models, we can assume the result of a larger sample space or models.
From the given table we observe that Ella's name came 2 times out of 10 random draws.
∴ In (10×100) = 1000 draw Ella's name can be expected to come about
(2×100) = 200 times.
learn more about probability here :
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en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa
Answers
Answer:
English?
Step-by-step explanation:
Which equation represents the function graphed on the
coordinate plane?
O g(x) = x + 1 + 3
O g(x) = x + 3 - 1
O g(x) = |x-1| + 3
O g(x) = x + 3 + 1
Answers
Answer:
it is the third option of g(x)=|x-1|+3x-1
the way I look at this is by visualizing the translations using the parent function of f(x)=|x|
the function moved up three and to the right by one which led to my conclusion
The equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the equation that represents the function graphed on the coordinate plane.
The parent function for the given function is -
y = |x|
The function rule for transformation can be written as -
(x, y) : (x - 1, y + 3)
So, we can write the function after transformation as -
y = |x - 1| + 3
Therefore, the equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
To solve more questions on functions, visit the link below-
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5. In 1971 the cumulative US national debt was $3.9812974445554x1011. In 2014 the cumulative US national debt was $1.782407138073382x1013. Calculate the actual difference. Write your answer in decimal form. (4 pts)
Answers
Answer:
12.036549522
Step-by-step explanation:
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answers
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
Suppose that 8% of all cars produced at Plant A have a certain defect, and 5\% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A - B) between the proportions of cars with the defect in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answers
Answer:
The answer is "Choice d"
Step-by-step explanation:
Please find the complete question in the attached file.
Faulty factory cars in a plant [tex]A = 8\% \ of\ 150 \ = 12 > 10[/tex]
Faulty factory cars in a plant [tex]B = 5\% \ of \ 150 = 7.5 < 10[/tex]
This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
What is the factorization of 36z+60
Answers
Answer:
12 ( 3z + 5 )
Step-by-step explanation: