Answers
Answer:
Option 2
Step-by-step explanation:
Since both triangles are similar, that means that the larger triangle's sides are greater than the smaller triangle's sides by a factor. We can see that 10 corresponds to x, so in the proportion 10 and x must be on the same side. That rules out option one and three. Now, we see that 7 corresponds to 14 and 6 corresponds with 12, so the other side must have 6 and 12 on the same side or 7 and 14 on the same side. We see that the only option that satisfies this criteria is Option 2.
Answer:
Option 2 - [tex]\frac{10}{x} =\frac{7}{14}[/tex]
Step-by-step explanation:
So, lets just look at the two traingles, find the difference, then see if the graphs will give us the same difference.
So lets see.
One side of triangle ABC is 6. The same side of triangle DEF is 12.
Another side of triangle ABC is 7. THe same side of trinalge DEF is 14.
The final side of trinalge ABC is 10. The same side of triangle DEF is x.
We only need to compare a single side of these to find the difference:
12/6=2
14/7=2
This is very simple.
However, lets shift this into what they wrote.
So we know that the difference between each side is 2.
ALL sides are like this.
We know that both 12/6 and 14/7 equal the same thing, so tecnically, they are equal:
12/6=14/7
This is the same with 10/x as well.
So:
10/x=14/7
10/x=12/6
So we know that the difference from ABC to DEF is 2. But the difference from DEF to ABC is the opposite, 1/2.
Knowing this:
x/10=6/12 is the same thing as 10/x=12/6. And x/10=7/14 is the same thing as 10/x=14/7
So our answers can also be:
x/10=7/14
x/10=6/12
This looks like option 2.
Hope this helps!
Related Questions
ASAP
How many different arrangements can made using the letters of the word ATHABASCA if...
(a) Each arrangement begins with three A's.
(b) Each arrangement must begin with only two ffs . (The third letter can't be an A)
Answers
Answer:
Poooooop it is poop no cap legit
Step-by-step explanation:pooooooop
Pls believe me the dam answer is poop
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar
Answers
Answer: 26.4
Step-by-step explanation: 1.2x22=
LM is the midsegment of ABC is AC is 28 centimeters long , how long is LM?
Answers
Answer:
LM = 14
Step-by-step explanation:
LM = AC/2
LM = 28/2
LM = 14
Hope this helps!
The measure of LM is 14 cm.
What is Mid - segment?A triangle midsegment is a line segment that connects the midpoints or centres of two opposite or adjacent triangle sides.
The midsegment theorem asserts that a line segment connecting the midpoints of any two sides of a triangle is parallel to and half of the third side.
According to mid segment is
LM = AC/2
We have AC = 28 cm
Now, substitute the value of AC we get
LM = 28/2
LM = 14
Thus, the measure of LM is 14 cm.
Learn more about Mid- segment here:
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Solve for x. Round to the nearest tenth of
a degree, if necessary.
Answers
Answer:
x = 60.6
Step-by-step explanation:
tan x = opp/adj
tan x = 3.9/2.2
x = tan^-1 3.9/2.2
x = 60.6
If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Answers
Answer:
91.8 feet^3
Step-by-step explanation:
We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).
Area of circle formula: pi x r^2
3.14 x 1.5^2 = 7.065
Now we can multiple it by the height and round to the nearest 10th.
7.065 x 13 = 91.845
91.845 -> 91.8
Hope this helps! Brainliest?
Answer:
Step-by-step explanation:
Givens
h = 13 feet
r = 1.5 feet
pi = 3.14
Equation
V = pi r^2 *h
V = 3.14 * 1.5^2 * 13
V = 91,8 cubic feet.
Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.
Which equation could be used to find the total.
A) y=2.50x
B) y=12.50x
C) y=2.50x + 10
D) y=2x-10
Answers
Answer:
C) y = 2.50x + 10
Step-by-step explanation:
Equation C is saying:
total cost = 2.50(number of games) + $10 entery fee
Hope this helps :)
Answer is C
As it say to find total cost and y is given as total cost
As x is number of games and charge per game is 2.50 so it’s becomes 2,50x
Plus you have to add one time entrance fee which is $10.
So the equation becomes
y= 2.50x + 10
Know how to rearrange formulae Question 1: Make y the subject of each of the following
(a) y + w = c
(b) y- p = m
C) m + y = s
(d) y - 2g = n
(e) 3y = c
(f) ay = w
(g) y/c =w
(h) y/a= 2c
(i) a = y + p
Someone please help me.
Answers
Answer:
y=c - w
y=m+p
y=n+2g
y=c/3
y=w/a
y=w×c
y=2c×a
y=a-p
Step-by-step explanation:
crossing the equality sign
- = +
+ = -
× = ÷
÷ = ×
hope this would help
what is the answer?i need it bc im stuck
Answers
Answer:
steam iron = 41.25
t-shirts = 17.82
paintbrushes = 13.94
bags of pasta = 3.52
total = 76.53
Answer:
1. 17.82 2. 13.94 3. 3.52 4. 35.28
Step-by-step explanation:
Hope thishelps :)
I’ll mark brainliest
Answers
Answer:
the answer is A
Step-by-step explanation:
the granpa bought 3 of the hoagie meals which means its 8×3 which is 24.
therefore he bought x of the burger meals. which means that it must be 6× X which means it is 6x.
lastly they ask for the total cost so you need to add the 24 to the 6x to get the total
Exponents are really not my thing but i am force to do it.
Answers
Answer:
1. False
2. True
3. False
Step-by-step explanation:
An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?
Answers
Answer:
7x+12y<350
Step-by-step explanation:
7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350
The value of p(x) = 5x− 4x + 3 for x = −1 is ________.
Answers
Answer:
Step-by-step explanation:
p(-1)=5*-1 -4*-1 +3
=-5-(-4) +3
=-5+4 +3
=-5+7
=2
Answer:
2
Step-by-step explanation:
p(-1)= 5(-1)-4(-1)+3
p(-1)= -5+4+3
p(-1)= 2
PLEASE HELP WITH ALGEBRA HOMEWORK.WILL MARK BRAINLIEST
Answers
[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]
[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]
[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]
Since bases i.e 6 are same exponents are equal
4x+10= 3x-3
4x-3x = -3-10
x= -13
Answer:
x = -13
Step-by-step explanation:
36 = 6^2
216 = 6^3
36^(2x + 5) = 6^(2)^(2x + 5)
When taking an exponent to an exponet: multiply the exponents
36^(2x + 5) = 6^(4x + 10)
216^(x - 1) = 6^(3)^(x - 1)
When taking an exponent to an exponet: multiply the exponents
216^(x - 1) = 6^(3x - 3)
-----------------------------
Therefor
6^(4x + 10) = 6^(3x - 3)
Since the bases are the same the exponents are equal
4x + 10 = 3x - 3
Subtract 3x from both sides
x + 10 = -3
subtract 10 from both sides
x = -13
find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answers
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Volume of a rectangular prism is
Length x width x height
9 x 6 x 8 = 432
Volume is measured in cubic centimeters, in this case.
Hope this helps!
A line passes through the point (4, -3) and has a slope of -3. Write an equation in slope-intercept form for this line.
Answers
y=-3x+9
explanation
m=-3 (X1,Y1) = (4,-3)
(y-y1)= m×(x-x1)
(y-(-3))=-3(x-4)
y+3= -3x+12
y=-3x+12-3
y=-3x+9
10) -2(n - 6) = 20
please help!
Answers
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?
Answers
Answer: 139.65 or 25.34.
Step-by-step explanation:
The revenue function will be:
= Price × Quantity
= P × (7,000 - 50p)
= 7000p - 50p²
The coat function is given as:
C = 2,000 + 25q
C = 2000 + 25(7000 - 50p)
C = 2000 + 175000 - 1250p
C = 177000 - 1250p
Then, we'll equate the revenue function to the cost function. This will be:
7000p - 50p² = 177000 - 1250p
-50p² + 7000p + 1250p - 177000 = 0
-50p² + 8250p - 177000 = 0
Divide through by -50
p² - 165 + 3540 = 0
Solving to get the value of P will then give us 139.65 or 25.34.
in a system of equations why is the intersection the solution
Answers
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
20%
6.7%
52%
32%
Answers
Answer:
52%
Step-by-step explanation:
There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.
13 / 25 = 0.52 or 52%
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
Answers
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answers
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
what is value? WRONG ANSWERS ONLYY
Answers
Geometry, circles please help that'd be great.
Answers
Answer:
maybe the answer is 63cm...
use the protractor to find the measure of each angle:
a. CAB
b. FAB
c. EAB
d. HAF
Answers
Answer:
a. 20-degree
b. 110-degree
c.70-degree
d.50-degree
a farmer employs 12 men to harvest his crops.they take 9 boys to do the job.if he had employed 8 men,how ling would it have taken.
Answers
Answer:
it needs more information
$6300 is invested, part of it at 11% and part of it at 6%. For a certain year, the total yield is $533.00. How much was invested at each rate?
$___ was invested at 11%
Answers
Answer:
Invested at 11% : 3100
Invested at 6% : 3200
Step-by-step explanation:
let x= amount invested at 11%
let y= amount invested at 6%
we can write
Equation 1: x+y=6300
Equation2: .11x+.06y=533
Divide equation 2 by .06 to get
1.8333333x+y=8883.33333333
Subtract equation 2 from equation 1
.8333333x= 2583.33333333
x= 3100
Plug in x= 3100 into equation 1
3100+y= 6300
y= 3200
Line segment CD is the altitude drawn to hypotenuse EF in right triangle ECF. If EC = 10 and EF = 24, then, to the nearest tenth, find ED.
Answers
Answer:
4.2 = ED
Step-by-step explanation:
C is the Right Angle.You will do yourself a great favor by drawing your own diagram. The easiest way to do this is to find CF first. Use the Pythagorean Theorem.The next step is to find the area of the triangles using EC * CF which you just found. Equate that to the hypotenuse * altitude(CD) to find CDThen use Pythagoras again to ED.Step One
Find FC. That is the only side of the right triangle that you don't know the value of.
EC^2 + FC^2 = EF^2EC = 20FC = ?EF= 24 This the Hypotenuse.10^2 + FC^2 = 24^2100 + FC^2 = 576 Subtract 100 from both sides.FC^2 = 576 - 100 Combine the right FC^2 = 476sqrt(FC^2) = sqrt(476)FC = 21.817Step Two
Find CD. Do this by finding the area two ways. (Key Step)Area = hypotenuse * altitude / 2Area = EC * CF / 2EC = 10CF = 21.817hypotenuse = 24altitude = y24*y / 2 = 10 * 21.817 /212 y = 218.17/212y = 109.085y = 109.085/12y = 9.0904Step Three
Find EDED^2 = 10^2 - y^2ED^2 = 100 - 9.0904^2ED^2 = 100 - 82.6357ED^2 = 17.36sqrt(ED^2) = sqrt(17.36)ED = 4.1671ED = 4.2Natalie just rented an apartment for $900 a month.she was told that the rent will increase 5.5% each year. About how much will her rent be in 7 years
Answers
Answer:
Step-by-step explanation:
the equation you write to solve this should be:
x = 900 (1 + 0.055)^7
x = 900 (1.055)^7
x = 900 (1.454679131133794609375)
x = 1,309.21
*** Note that the answer was rounded to the nearest hundredths digit. ********
Select the correct answer.
AB and BC form a right angle at point B. If A = (-3,-1) and B = (2, 4), what is the equation of BĆ?
O A x + 3y = 16
OB. 2x+y= 12
OC.-7x - 5y=-48
OD. 7x - 5y = 48
Answers
9514 1404 393
Answer:
x + y = 6 (or choice C, see comment)
Step-by-step explanation:
The equation of the line through point B and perpendicular to AB can be written as ...
(Bx -Ax)(x -Bx) +(By -Ay)(y -By) = 0 . . . . where A = (Ax, Ay) and B = (Bx, By)
(2 -(-3))(x -2) +(4 -(-1))(y -4) = 0
5x +5y -30 = 0
x + y = 6 . . . . . . reduce to standard form
__
Additional comment
None of the offered choices describes a line through point B. (See second attachment). We note that several of the lines go through the point (4, 4). The segment joining points (-3, -1) and (4, 4) will be perpendicular to the line -7x -5y = -48, answer choice C.
Please talk to your teacher about this question.
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.
Which equation can be used to determine the number of miles, m, to the airport?
Answers
Answer:
13.50=1.50+.6x
Step-by-step explanation:
13.50=1.50+ .6x
12=.6x
20=x
The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total cost of the taxi be represented as y
Let the number of miles traveled be represented as m
Now , the total cost = $ 13.50
The number of miles = m miles
The initial cost of taxi = $ 1.50
The cost per mile = $ 0.60
So , the equation is 13.50 = 1.50 + 0.6m
Subtracting 1.50 , we get
12 = 0.6m
Divide by 0.6 , we get
m = 20 miles
Hence , the number of miles is 20 miles
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