I need help with number 5 please!
As shown on the diagram below ABC ~ DEF, AB=7x, BC=4, DE=7 and EF=x what is the length of AB?
Answers
==========================================================
Explanation:
We're told that [tex]\triangle ABC \sim \triangle DE F[/tex] which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.
AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.
Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).
Once again, the order of the letters matters to tell us how the sides and angles pair up together.
-----------------
In short, the key takeaway from that last section is that we can form this equation:
AB/DE = BC/EF
From here, we apply substitution and solve for x
So,
AB/DE = BC/EF
7x/7 = 4/x
7x*x = 7*4 .... cross multiplication
7x^2 = 28
x^2 = 28/7
x^2 = 4
x = sqrt(4)
x = 2
We only consider the positive square root because x is some side length. Negative x values are not allowed.
To wrap things up, use that x value to find AB
AB = 7x = 7*2 = 14
Related Questions
1.
A train travels at a constant rate of 45 miles per hour.
a.
What is the distance, d, in miles, that the train travels in t hours?
How many miles will it travel in 2.5 hours?
b.
Answers
112.5 miles in 2.5 hours
Answer:
11.25 miles in 2.5 hoursStep-by-step explanation:
speed × time = distance
45 × 2.5 = 112.5
45 is the speed
2.5 is the time
11.25 is the distance
What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7
Answers
Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
-3
Step-by-step explanation: i got it right on my test
Little help, please?
Read the following quote from Mark Twain: "It should, it seems to me, be our pleasure and duty to make those
people free, and let them deal with their own domestic questions in their own way. And so I am an anti-imperialist. I
am opposed to having the eagle put its talons on any other land."
In a short paragraph, reflect on how this quote represents the anti-imperialists' point of view. What is the impact of
Twain's use of the metaphor of the eagle and its talon? Type your response in the box below.
Answers
Answer:
Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.
edmentum
Answer:
Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.
Step-by-step explanation:
HELP PLEASE!!!!!!!!!
Answers
9514 1404 393
Answer:
A) W'(-4, 2), ...
Step-by-step explanation:
Put the values of x and y in the translation relation to see what the translated point's coordinates are.
(x, y) ⇒ (x -7, y +4)
W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A
SOMEONE HELP ITS DUE TONIGHT
Answers
Answer:
n=27 degrees
m=36 degrees
Step-by-step explanation:
So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.
so it is: 180-126/2 which gives you 27 degrees.
this means the n value is 27.
to find m, you have to take away 90 degrees and the n value from 180.
so it is: 180-90-27 which gives you 63 degrees.
now you must take the smaller angle from 63 degrees to find m.
so it is: 63-27 which gives you 36
therefore...
n=27 degrees
m=36 degrees
Compare the number. -9/16 ? -7/10
Answers
Answer:
-9/16 > -7/10
Step-by-step explanation:
PLEASE HELP FAST WILL MARK BRANLIEST!!
Which is the graph of y = 2(x - 3)2 + 2
Answers
The graph will look like this
Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
Answers
(-4,-3) reflect over x axis
(3,4) 90 clockwise
(-8,6) left/up
The Tiger football team won 2 out of every 3 games they played. If they played 9 games, how many games did they lose?
A.
3
B.
4
C.
6
D.
18
you'll get marked brainliest if you answer first
Answers
Answer:
3
Step-by-step explanation:
2 out of 3. 3x3=9, 2x3=6. 9-6=3
write the equation
it has y-intercept -8 and x-intercept 2
Answers
Step-by-step explanation:
(x/2) +(y/-8)=1
[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]
well that is the equation
Answer:
y=(y/x+8/x) x-8
Step-by-step explanation:
The component form of a vector indicates the changes in x and y from the
starting point to the endpoint. What is the component form of this vector?
Answers
It moves negative 8 units towards the left. 4 - 8 = -4. And it moves positive 2 units upwards -1 + 2 = 1.
We will see that the component form of the given vector is <-8, 2>, so the correct option is D.
How to get the component form of the vector?For a vector with starting point (a, b) and endpoint (c, d), the component form is:
<c -a, d -b>
In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)
Then the component form of the vector is:
<-4 - 4, 1 - (-1) > = <-8, 2>
So the correct option is D.
If you want to learn more about vectors, you can read:
https://brainly.com/question/3184914
I need to know if it’s a function and explain how it is. please help!
Answers
Answer:
Yes, because it passes the vertical line test. If we were to draw a vertical line anywhere on the graph, it would only go through one point, so the relation is a function.
Step-by-step explanation:
1. This graph is a function because it passes the vertical line test. The vertical line test is a simple method that is used to determine if a relation is a function or not. A function can one output (y) for every unique input (x). If we were to draw a vertical line anywhere on the graph, and it would only go through one point, then the relation is a function. If it went through multiple points in some areas, it's not a function.
2. Since we can draw a vertical line anywhere and have it pass through one point, this relation is a function.
can anyone answer this correctly will mark as brain
Answers
Answer:
you solve its better for yourself
Answer:
Angle A = 30 degrees
Step-by-step explanation:
Using the right triangle angle sum theorem(basically, if a triangle is right, the angle measurements have to be 90, 60, and 30 degrees), we can see that angle A can only be either 60 or 30 degrees. Angle A is narrower than angle B, so we can infer that angle A = 30 degrees.
A number written in word is in:
Exponential form
Expanded form
Standard form
Answers
Answer:
standerd form
Step-by-step explanation:
because it have to be in standerd form
plzzzzzzzzz help and the answer choice i have on there is not the answer just where i accidently hit lol
Answers
Answer:
B is the answer
Step-by-step explanation:
The sum of two numbers is 179.
Their difference is 133. Find both numbers.
Answers
Answer:
156,23
Step-by-step explanation:
let the numbers be x and y and x>y
x+y=179
x-y=133
add
2x=312
x=156
156+y=179
y=179-156=23
Answer:
156 and 23
Step-by-step explanation:
We can use system of equations to solve this problem.Step 1: Set up the system of equations.
[tex]\left \{ {{x+y=179} \atop {x-y=133}} \right.[/tex]Step 2: Solve x + y = 179 for x.
[tex]x + y = 179[/tex] [tex]x + y - y = 179 - y[/tex] (Subtract y from both sides)[tex]x = -y + 179[/tex]Step 3: Substitute -y + 179 for x in x - y = 133.
[tex]x-y=133[/tex] [tex]-y+179-y=133[/tex] [tex](-y-y)+(179)=133[/tex] (Combine like terms)[tex]-2y + 179 = 133[/tex] [tex]-2y + 179 - 179 = 133 - 179[/tex] (Subtract 179 from both sides)[tex]-2y = -46[/tex] [tex]\frac{-2y}{-2} = \frac{-46}{-2}[/tex] (Divide both sides by -2)[tex]y = 23[/tex]Step 4: Substitute 23 for y in x = -y + 179
[tex]x = -23 + 179[/tex] [tex]x = 156[/tex]Therefore, the numbers are 156 and 23.
what type of data would weather be measured in a month?
Answers
Answer:
Weather data includes any facts or numbers about the state of the atmosphere, including temperature, wind speed, rain or snow, humidity, and pressure. These days, we have some amazing ways to collect this kind of data. We have high-tech equipment that can measure everything with amazing accuracy.
PLS ANSWER!!
32-2(1+3) squared
Answers
Answer:32-2=30 30+1+3=34 . Ans:34
Step-by-step explanation:
Answer:
32-3(4)
24
24 squared is
576
Acellus
D
320
A
410
С.
B
mZB = [?]
Enter the number that belongs in
the green box
Answers
Answer:
∠ B= 107°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ D = 180° - (32 + 41)° = 180° - 73° = 107°
The opposite angles D and B are congruent in a kite , so
∠ B = ∠ D = 107°
Write a compound inequality for each problem. Graph the solutions
An advertisement for a part-time job says that the hourly rate is between $6.40 and $9.80 inclusive, depending on the experience
Answers
answer:
16.20
step by step
Which of the following equations listed below has a radius of 3?
O A) x^2 + y^2 + 12x - 20y+ 132 = 0
-
O B) x^2 + y^2 + 12x - 20y + 55 = 0
-
O C) x^2 + y^2 - 12x+ 20y + 127 = 0
-
O D) x^2 + y^2 – 20x – 16y + 155 = 0
Answers
Answer:
C.
Step-by-step explanation:
WE need to convert the given equations into the standard form
(x - a)^2 + (y - b)^2 = r^2 where r = the radius.
x^2 + y^2 + 12x - 20y+ 132 = 0
(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132
(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4
giving a radius of 2
x^2 + y^2 + 12x - 20y + 55 = 0
will give a right hand side of -55 + 36 + 100 = 81 giving radius 9.
x^2 + y^2 - 12x+ 20y + 127 = 0
- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.
Answer:
The answer is C I hope this helps
what is 4 8/17 as an improper fraction
Answers
Answer:
76/17
Step-by-step explanation:
Multiply the whole number by the denominator
4 × 17 = 68
Add the product from Step 1 to the numerator
68 + 8 = 76
Write answer from Step 2 over the denominator
76/17
For brainily please help
Answers
The slashes mean the opposite angles are the same. This is and isosceles triangle, which mean two sides are the same and one is not.
A triangle = 180
We know one angle is 42 and the other two angles are the same.
Subtract 42 from 180
180 - 42 = 138
Now the 138 is going to two sides but we know they are equal so we can divide 138 by 2
138 divided by 2 = 69
So b = 69
A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be done is approximately normal. The 95% confidence interval for the true mean number of pushups that can be done is _____.
Answers
Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.
The sample mean is of 15, thus [tex]\overline{x} = 15[/tex].The sample standard deviation is of 9, thus [tex]s = 9[/tex].The sample size is of 10, thus [tex]n = 10[/tex].First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.
The margin of error is of:
[tex]M = t\frac{s}{n}[/tex]
Then:
[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 15 - 6 = 9[/tex]
[tex]\overline{x} + M = 15 + 6 = 21[/tex]
The confidence interval is (9, 21).
A similar problem is given at https://brainly.com/question/25157574
Evaluate the expression when x= -7. x²+4x-3
Answers
-7^2+4(-7)-3
49+(-28)-3
21-3
18
49+(-29)-3.Answer:
The answer is -80
Step-by-step explanation:
1. What I did first was plug in -7 into "x", so then your expression is[tex](-7^{2} )+4*(-7)-3[/tex]
2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3
3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3
4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3
5. Then you add -77-3 but keep the negetive and get -80.
I hope this helps... have a wonderful day.
Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.
Answers
Answer:
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Step-by-step explanation:
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria? (graph in photo)
no, the frequencies do not increase from the low frequency to a maximum frequency.
no, the distribution is not symmetric.
yes, all the requirements are met.
Answers
Answer: I think its C, yes, all the requirements are met.
Step-by-step explanation: I might be wrong, so check to make sure
Yes, all the requirements are met.
The correct option is (C)
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
A graph or table that displays the frequency of various outcomes is called a frequency distribution.
The bell-shaped normal distribution is the norm.
As, the frequency value is lower for scores 5.5000 to 5.5499,
and then it increases 5.5500- 5.7499, then decreases for scores 5.7500-5.7999.
So, the frequency distribution curve looks bell-shaped when plotted.
hence, it follow a normal distribution.
Learn more about normal distribution here:
https://brainly.com/question/12432168
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0.4(-1.08) = ?
what is the product?
Answers
Answer: -0.432
Step-by-step explanation:
0.4*1.08 would be 0.432 add the negative sign to get -0.432
The product of 0.4 and -1.08 is -4.240.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
To multiply 0.4 and 1.08, we need to follow few steps
first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.
0.40
1.08
___________
240
000+
040++
____________
4.240
As there is a negative sign infront if 1.08, we will put minus sign to the product value
So 0.4(-1.08) is -4.240
Hence the product of 0.4 and -1.08 is -4.240.
To learn more on Multiplication click:
https://brainly.com/question/5992872
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Please solve the math problem for me... I will mark you brainliest
Answers
Answer:
The midpoint is (4,4)
Step-by-step explanation:
AB is a vertical line. This means the x value must be 4. The y value is halfway between 0 and 8, which is 4. Therefore, the midpoint is (4,4).
Answer:
The midpoint is (4,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Below is a picture of how it is graphed.
5^-1 = blank * 5^4 find the missing factor
Answers
Answer:
1/3125 or, 5^-5
Step-by-step explanation:
5^-1 = blank * 5^4
1/5/625= blank or, 5^-1/5^4=blank
blank=1/3125 5^-5=blank