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
solve equation s - 12= 20. s=?
Answers
Answer:
s = 32
Step-by-step explanation:
We have our equation:
s - 12 = 20
And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:
s - 12 = 20
+12 +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)
So, now our equation will look like this:
s = 20 + 12,
or,
s = 32
Which happens to be our answer!
Hope this helps :)
i need help on number 6 and 7 !!! please help!!!! it would be much appreciated
Answers
Answer:
6.) No, you do not agree with Ted.
7.) x = 34 degrees
Step-by-step explanation:
6.) For a triangle to be valid, it must meet these requirements:
a+b>c
a+c>b
b+c>a
If it fails a single one, then it is invalid.
For example: 6+11 is not greater than 4. Therefor, Ted is incorrect
7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.
We have these clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 is a right angle
Any triangle must have its angles sum to 180 degrees
We also know that right angles are equal to 90 degrees.
Our updated clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 = 90 degrees
angles 1+2+3 must equal 180
So we can make this equation:
x+56+90=180
Add like terms and solve for x:
x = 34
Peter, Jamal and Khan were on their way to a resort. Peter drove of the journey at a
constant speed of 64 km/h. Jamal took over and drove 5 of the journey for 20 min at
a constant speed of 60 km/h. Khan then took over and drove the remaining journey.
(a) How far did Jamal drive?
(b) How many minutes did Peter drive?
Answers
Answer:
that's what can I give
Step-by-step explanation:
hope it helps
×/2=y/3; y/4=z/4 và x+2y-z=10
Answers
What is 1200 over 480 in mixed number
Answers
9514 1404 393
Answer:
2 1/2
Step-by-step explanation:
1200/480 = (240·5)/(240·2) = 5/2 = (4/2) +(1/2) = 2 1/2
v/13=11/7 solve for v
Answers
Answer:
Step-by-step explanation:
20.29 :)
I Need Help Please
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km
Answers
Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
plssssss help meh with this
Answers
Answer:
f(-9) = -263
Step-by-step explanation:
f(-9) = -3(-9)^2 - 20
= -3(81) - 20
= -243 - 20
= -263
What is the expression in factored form?
4x2 +11x+6
O (2x+3)(2x+2)
O (4x+1)(x+6)
O (2x+1)(2x+6)
(4x+3)(x+2)
Answers
Answer: (4x + 3) (x + 2)
Step-by-step explanation:
We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6
Since 4x² + 11x + 6 = 4x² + 8x + 3x + 6
= (4x + 3) (x + 2)
The factors of the given expression [tex]4x^2 +11x+6[/tex] are (x+8) and (x+3).
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.
The factors of the following expression can be calculated as:
[tex]4x^2 +11x+6[/tex] = [tex]x^2+ 8x+ 3x+24[/tex]
= x(x+8) +3(x+8)
= (x+8) (x+3)
Thus, the factors of the [tex]4x^2 +11x+6[/tex] are (x+8) (x+3)
Learn more about factors here:
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a
Which picture shows a proper
reflection across the red dashed line?
A
B
Answers
Picture B shows a proper reflection across the red dashed line.
What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.For a reflection, the orientation of the figure is changed, keeping the same inclination, and the opposite distance to the reflection line, hence picture b shows the proper reflection.
More can be learned about transformations in a figure at https://brainly.com/question/28687396
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Solve the problem. If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick?
Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.
Answers
Answer:
39.37 inches in a meter stick
Step-by-step explanation:
Set up a proportional ratio: inch/cm = inch/cm
1/2.54 = ?/100
2.54 · ? = 100
? = 100/2.54
? = 39.37 inches
Can someone please write the points in a notebook please I really need help
Answers
Answer:
Step-by-step explanation:
what it is the equivalent of 7:2
Answers
Answer:
7:2
7/2
Step-by-step explanation:
7:2 is also equivalent to 7/2
10x + 6 - 2x - 20 Question 1 options:
12x + 26
8x + 26
8x - 14
12x + 14
---------------------------------
5x2 + 3 + 3x + x2 – 1
Question 2 options:
6x2 + 3x + 2
9x2 + 2
8x2 + 2
6x2 + 3x + 4
--------------------
(x−13)(x7)(x3)
Question 3 options:
x−10
1x3
x273
x−273
---------------------
(2xy)3
Question 4 options:
2x3y3
8x3y3
6x3y3
6xy
---------------------
xy−5
Question 5 options:
y5x
5xy
xy5
xy5
-----------------------
10x6x2
Question 6 options:
10x8
x4
10x4
(10x)4
----------------------
Evaluate
50⋅ 54
------------
53
Question 7 options:
Solve proble
Answers
Step-by-step explanation:
10-2x + 6- 20
8x-14 the answer of first question
1260=(n-2) x 180what is n?
Answers
Answer:
N = 9
Step-by-step explanation:
1. 1260 / 180 = 7
2. Because we removed 2 before, we're going to add 2 because we're doing it in reverse and we get 9, therefore the answer is 9
how do you solve y=x+12 y=-18
Answers
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Answers
Answer:
Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Step-by-step explanation:
I need help with 1 1/2 2 1/4
Answers
What do you need help with? Addition? Substraction?
If you’re doing addition, you would do it like this:
1 1/2 + 2 1/4 = 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 3/4
Answer:
1/8
Step-by-step explanation:
11/22 x 1/4 =1/8
what is the first thing you draw in creating an angle bisector?
A) a curve intersecting both rays
B) a line segment intersecting both rays
Answers
Fill in the blanks….
Answers
Answer:
2
Step-by-step explanation:
2
you borrow 3000 from the bank to buy your first car the interest rate 5 how much money will you owe the bank at the end of the year
Answers
Answer:
£3150
Step-by-step explanation:
First you divide 5 by 100.
5% Interest Rate = 0.05
Then you times 3000 by 0.05.
3000 × 0.05 = 150
Then your add your answers together.
3000 + 150 = 3150
Answer:
£3150
Step-by-step explanation:
is the correct 1
I need help please can anyone help.
Answers
Answer:
What do you need help on there’s nothing??
Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?
A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.
Answers
[tex]\huge\mathtt\colorbox{white}{D}[/tex]
By definition, two vectors are equal if and only if they have the same magnitude in the same direction.
[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]
how many times dose the average person do math a day?
Answers
HELP PLEASEEEE!!!
Which of the following inequalities matches the graph? у 10 8. दा 4 x 2. 6 8 10 --10-8-6-4-2 -2 - -8 -10 | OX-7 Oxs-7 Oy=-7 Oyz-7
Answers
Answer:
45
Step-by-step explanation:
The graph given is of inequality x ≤ -7.
What is an inequality?In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.
Given is a graph of an inequality, we need to determine the inequality,
So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,
so the inequality will be x ≤ -7
Hence, the graph given is of inequality x ≤ -7.
Learn more about inequality, click;
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Find the sum of the first twelve terms of the sequences 3, -6, 12, -24,..
Show your work.
Answers
let x = 3
x, -2x, 4x, -8x etc
which means what we need is
x + 4x + 16x + 64x, 256x, 1024x - 2x - 8x - 32x - 128x - 512x - 2048x
This is equal to -4113.
Answer:
3, -6, 12, -24, 48, -96, 192, -384, 768, -1536, 3072, -6144...
×-2
Geometric sequence
Help help help help help help help help help
Answers
Answer:
subtract 20 from both sides
Step-by-step explanation:
1. To find the answer, let's actually try solving the equation first and find the 2nd step.
2. (Solving)
Step 1: Distribute 2 to each term.
[tex](2)(x)+(2)(10)=60[/tex] [tex]2x + 20 = 60[/tex]Step 2: Subtract 20 from both sides.
[tex]2x + 20 - 20 = 60 - 20[/tex] [tex]2x = 40[/tex]3. Since we got that the second step was "subtract 20 from both sides," the answer is subtract 20 from both sides.
Find the missing angle measure.
Answers
Answer:
m<a=27º
Step-by-step explanation:
a triangle is 180º total
180-90=90
90-63=27
The cost C (in millions of dollars) for the federal government to seize p% of an illegal drug as it enters the country is given by
C=528*p/100-p, 0≤p<100
A)Find the costs of seizing 25%, 50% and 75% for the drug.
B) According to the model, would it be possible to seize 100% of the drug? Explain.
Answers
Answer:
b for me hehe ok
Step-by-step explanation:
Explanation
a
Convert 0.58 into
percentage
Answers
Answer:
58%
Step-by-step explanation:
Is 58% converted from 0.58