Answers
Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
Related Questions
Find the value of x so that f(x)=7.
Answers
Answer:
slope: 0
y intercept: (0, 7)
Step-by-step explanation:
A recipe requires 3/4 of a cup of milk for every 1 1/2 cups of flour how many cups of milk are needed for each cup of flour
Answers
Answer: 1/2 cup
Step-by-step explanation:
If there are 3/4 cup milk needed for every 1 1/2 cup of flour that means for every 1/2 cup of flour you’ll need 1/4 cup of milk. So for a whole cup of flour you’ll need 2/4 cup of milk which is equivalent to 1/2
PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP
Answers
Answer:
the 3/5 part of 6 3/5
Step-by-step explanation:
3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.
what is 10 times 20,00x
Answers
1) simplify
20000x
BUT if you mean 10*20,00x
Answer: 200,0
1) simplify 10*20 to 200
200,00x
2) simplify 00x to 0
200,0
A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?
Answers
Answer:
2,584
Step-by-step explanation:
You just add or subtract the numbers if hes going up or down.
Add the fractions. Write your answer as a mixed number 3/5+4/5
Answers
Answer:
Step-by-step explanation:
3 + 4 = 7.
the denominator stays the same. You only add the numerators.
7/5 in mixed number form is 1 2/5 because 7 goes into 5 once. so kinda like 7 - 5 = 2. and the 2 goes on top now.
Find the midpoint of the segment with the endpoints: (-2, 6) and (-3, 7)
Answers
Answer:
The midpoint is ( -2.5, 6.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-2+-3)/2 = -5/2 = -2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+7)/2 = 13/2 = 6.5
The midpoint is ( -2.5, 6.5)
The average of 5 distinct scores has the same value as
the median of the 5 scores. The sum of the 5 scores is
420. What is the sum of the 4 scores that are NOT the
median?
Answers
Answer: 336 is the sum of the non-median scores
Step-by-step explanation: if the sum of 5 scores is 420, the average is 420/5 = 84
That is also the median to be subtracted: 420-84= 336
Consider the table representing an exponential function.
The equation for this function is
f(x) =
Answers
Answer:
Its 8, and 0.5
Step-by-step explanation:
Choose the most appropriate name for the function described below.
The efficiency of a car depends on the weight of the car.
A. Weight(car), or W(c)
B. Efficiency(weight), or E(w)
C. Efficiency(car), or E(c)
D. Weight(efficiency), or W(e)
Answers
Answer: The answer is Weight(car), or W(c)
Step-by-step explanation: Hope this helps!!
Answer:
THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)
Step-by-step explanation:
solve the inequality 2(4+2x) is less than or equal to 5x+5
a. x is Less than or equal to -2
b. x is greater than or equal to -2
c. x is less than or equal to 3
d. x is greater than or equal to 3
Answers
Answer:
the answer is d, anything lower than 3 would make the solution incorrect
g(x)=x^2+2x-8 in factored form
Answers
Answer:
g(x) = (x+4)(x-2)
Step-by-step explanation:
g(x) = x²+2x-8
g(x) = (x+4)(x-2)
Answer:
(x+4)(x-2)
Step-by-step explanation:
4/5 + 3 1/10
Please answer quick (◍•ᴗ•◍)❤
Answers
Answer:
3 9/10
Step-by-step explanation:
Find the common factor
8/10+3 1/10
3 9/10
Please help!! ASAP!! Graph Y=3/8x-2
Answers
According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9
Answers
Answer:
Explained below.
Step-by-step explanation:
A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
(a)
The hypothesis can be defined as follows:
H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0
(b-1)
Use Excel to perform the t test for independent samples.
The output is attached below.
The test statistic value is, t = 7.58.
(b-2)
The degrees of freedom is, df = 58.
The critical value is, t₅₈ = 1.672.
The rejection region is:
Rejected H₀ if t > t₅₈ = 1.672.
(c)
Decision:
t = 7.58 > t₅₈ = 1.672
The null hypothesis will be rejected at 5% level of significance.
Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.
The correct option is Yes.
What is the value of x in the equation 8x-5(x-1)=20
1. 25/3
2. 21/4
3. 5
4. 7
Answers
So pick “(3)”
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population f
Answers
Complete Question
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)
Answer:
a
[tex]P(480 < X < 590) = 0.3952[/tex]
b
[tex]x = 664.5 [/tex]
c
[tex]x_1 = 474.67[/tex]
The value is called the [tex]40^{th}[/tex] percentile
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 500[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the percentage of the score that are between 480 and 590 is mathematically represented as
[tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma } < \frac{ 590 - 500}{ 100} )[/tex]
Here [tex]\frac{ X -\mu}{\sigma } = Z[/tex]
=> [tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < Z < \frac{ 590 - 500}{ 100} )[/tex]
=> [tex]P(480 < X < 590) = P(-0.2< Z < 0.9 )[/tex]
=> [tex]P(480 < X < 590) = P(Z < 0.9 ) - P(Z<-0.2) [/tex]
From the z table (reference calculator dot net )
[tex] P(Z < 0.9 )= 0.81594 [/tex]
And
[tex] P(Z < -0.2 )= 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.81594 - 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.3952[/tex]
Converting to percent
[tex]P(480 < X < 590) = 0.3952 * 100[/tex]
[tex]P(480 < X < 590) = 39.52\% [/tex]
The percentage invited to join the club is the top 5% , this can be mathematically represented as
[tex]P(X > x ) = 0.05[/tex]
Here x is the score that is within the top 5%
=> [tex]P(X > x) = P( \frac{X - \mu }{\sigma } > \frac{ x - 500}{100} )= 0.05[/tex]
Generally the critical value of 0.05 from the normal distribution table is
[tex]Z_{0.05} = 1.645[/tex]
So
[tex]\frac{ x - 500}{100} = 1.645[/tex]
=> [tex]x - 500 = 164.5[/tex]
=> [tex]x = 664.5 [/tex]
Generally the probability of having a score that separates the top 60% of the population from the bottom 40%
[tex]P(X > x_1 ) = 0.60[/tex]
=> [tex]P(X > x_1) = P(\frac{ X - \mu }{\sigma } > \frac{x - 500}{100} ) = 0.60[/tex]
The critical value of 0.60 from the normal distribution table is
[tex]Z_{0.60} = - 0. 2533[/tex]
So
[tex]\frac{x_1 - 500}{100} = -0.2533[/tex]
=> [tex]x_1 = 474.67[/tex]
From the hint given we can see that this value is called the [tex]40^{th}[/tex] percentile
Identify the degree of rotation from the origin.
Please help guys
Answers
Answer:
:)
Step-by-step explanation:
It's B . carmel.bratz go add the snap
Which of the following is a point on the graph of y-7=3(x-5)
Answers
Explanation: The formula for point slope form is,
y2 - y1 = m (x2 - x1)
When you look at the values that have been substituted in, you can see the the x value is 5 and the y value is 7.
When you look at the formula, you can se
Cindy and Victoria completed 8/9 of their job in a day. Cindy has done 1/9 of the work. How much of the work was done by Victoria?
Answers
Answer:
7/9 of the work was done by Victoria.
Step-by-step explanation:
8/9-1/9=7/9
An airplane flies with a constant speed of 660 miles per hour. How long will it take to travel a distance of 2475 miles?
Answers
9514 1404 393
Answer:
3.75 hours
Step-by-step explanation:
Travel time can be found using the relation ...
time = distance/speed
time = (2475 mi)/(660 mi/h) = 3.75 h
It will take 3 3/4 hours to travel that distance.
There are 10 girls for every 12 boys. If there are 50 girls, how many boys are there?
Answers
Answer:
60
Step-by-step explanation:
you have to have a constant. the constant is 5 so 12*5=60
60 boys
Explanation:
Please check the attached picture!
Unit Post Test
Suomi Test
Reader TOOLS
2
-6
- 2
-2
4
6
The function g> is a transformation of AX). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
OA. 80%) = 1x) - 2
B. gx) = Rx+ 2)
OC. 8) = px - 5)
OD. 81%) = Rx) - 5
Reset
Next
Answers
Answer:
r
Step-by-step explanation:
Write the polynomial in terms of its linear factors.
P(x) 2x^4 - 4x^3 - 16x^2
Answers
9514 1404 393
Answer:
P(x) = (2x)(x)(x-4)(x+2)
Step-by-step explanation:
Once the common factor of 2x^2 is factored out, you have ...
P(x) = 2x^2(x^2 -2x -8)
To factor the quadratic, you look for factors of -8 that have a sum of -2.
-8 = (1)(-8) = 2(-4)
These last factors have that sum, so we can write P(x) as ...
P(x) = (2x)(x)(x +2)(x -4)
what is the product of (2/5x-3/4y^2) and (2/5x+3/4y^2)?
Answers
Answer:
[tex]\frac{2x}{5}- \frac{3y^{2} }{4}[/tex]
Step-by-step explanation:
(2/5x-3/4y^2) & (2/5x+3/4y^2) is [tex]\frac{2x}{5}- \frac{3y^{2} }{4}\\[/tex]
1 inch= 2.54 cm
How many centimeters equal 5 feet?
762 cm
300 cm
152.4 cm
12.7 cm
Answers
Answer:
152.4 cm is the answer
Step-by-step explanation:
Answer:
152.4cm
Step-by-step explanation:
The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool?
gallons
Answers
Answer:
20,000 gallons
Step-by-step explanation:
75,700 ÷ 3.785 = 20,000 gallons that are in the pool.
Answer:
20,000
Step-by-step explanation:
hoped this helped :D
Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slopes. That is to say, if one line has slopem1and the other has slopem2thenm1 · m2 = −1.Please note that a horizontal line is perpendicular to a vertical line and vice versa, so we assumem1 ≠ 0andm2 ≠ 0.Below, you are given a line and a point which is not on that line. Find the line perpendicular to the given line which passes through the given point.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is [tex]y = -4 x[/tex]
Step-by-step explanation:
From the question we are told that
The line is [tex]y = \frac{1}{4} x + 8[/tex]
The point is P(0,0 )
Generally the equation for a line is [tex]yn = mx + c[/tex]
Now comparing this with the given equation we see that
[tex]m =\frac{1}{4} = slope[/tex]
[tex]C =8 = intercept [/tex]
Generally the slope of the perpendicular to the given line is mathematically evaluated as
[tex]m_1 = - \frac{1}{m}[/tex]
=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]
=> [tex]m_1 = -4 [/tex]
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
[tex]y = -4 x[/tex]
What is the slope of a line perpendicular to the line is question is 3x-3y=54? fully reduce your answer. (it’s not 1)
Answers
Answer:
-1
Step-by-step explanation:
Has to be the opposite
If Khalid uses 3 liters of paint to cover 8 square meters of wall. How much paint does Khalid need to paint 40 square meters of the wall.
Answers
Answer:
15l
Step-by-step explanation:
There are 5 8sq m in 40sq m
total paint is 5*3=15
