Please help!!
The options for both of these is right here!
Card A:
16
6
90
9
Card B: Card B *
QR
TU
RS
ST
Answers
Given:
Triangle ABC is similar to triangle EFG.
Pentagon ABCDE is similar to pentagon QRSTU.
To find:
The length of segment FG.
The missing value in [tex]\dfrac{D}{EA}=\dfrac{?}{UQ}[/tex].
Solution:
In card A,
AC = 15 in.
BC = 9 in.
EG = 10 in.
Triangle ABC is similar to triangle EFG. So, the corresponding sides are proportional.
[tex]\dfrac{AC}{BC}=\dfrac{EG}{FG}[/tex]
Putting the values, we get
[tex]\dfrac{15}{9}=\dfrac{10}{FG}[/tex]
[tex]\dfrac{5}{3}=\dfrac{10}{FG}[/tex]
[tex]5\times FG=3\times 10[/tex]
[tex]5FG=30[/tex]
Divide both sides by 5.
[tex]FG=6[/tex]
Therefore, the length of segment FG is 6 in.
In card B, pentagon ABCDE is similar to pentagon QRSTU.
The corresponding sides of similar figure are proportional. So,
[tex]\dfrac{AB}{QR}=\dfrac{BC}{RS}=\dfrac{CD}{ST}=\dfrac{DE}{TU}=\dfrac{EA}{UQ}[/tex]
Now,
[tex]\dfrac{CD}{ST}=\dfrac{EA}{UQ}[/tex]
It can be written as
[tex]\dfrac{CD}{EA}=\dfrac{ST}{UQ}[/tex]
Therefore, the missing side is ST.
Related Questions
A certain game gives scores between 0 and 5.
Trinity played 6 times and her mean score was 4.5.
Jayden played 4 times. If both players have the same
sum of scores, what was Jayden’s mean score?
Answers
Answer:
The mean value of Jayden is 6.75 .
Step-by-step explanation:
Given that the formula for mean is (total sum of scores) ÷ (total number of times). So first, we have to find the total sum of scores that Trinity gets :
[tex] \frac{total \: scores}{6} = 4.5[/tex]
[tex]total \: scores = 4.5 \times 6[/tex]
[tex]total \: scores \: = 27[/tex]
Assuming that Jayden also gets the score of 27 and played only 4 times so we have to find the Jayden's mean value :
[tex]mean = \frac{27}{4} [/tex]
[tex] mean = 6.75[/tex]
Three consecutive integers sum to 36. Which integers are they?
Answers
11, 12, 13
Step-by-step explanation:
gb ndndhdyydhsbdgr
Use words to write: 146,050,866.94
Answers
Answer/Step-by-step explanation:
one hundred forty six million(146,000,000), fifty thousand(50,000), eight hundred sixty six(866), point ninety four(0.94)
Which answer choice do I choose?
Answers
(Help needed ASAP) Michelle has a balance of $950 in a savings account that pays 3% interest compounded annually. If Michelle makes no deposits or withdrawals, how much money will be in her savings account after 2 years?
A)$1,007.00
B)$1,007.86
C)$1,004.00
D)$954.81
Answers
Answer:
i think its C....
Step-by-step explanation:
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?
Answers
Answer:
Hey have you tried on your own to make sure you understand it?
Step-by-step explanation:
karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to alaska. the truck consumed 0.8 liters of fuel for each kilometer driven.
Answers
The graph of the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers) is a linear equation given by, y = 400 - 0.8x
Given that Karl filled up the tank with 400 liters of fuel initially.
As time passes and more distance is covered, the amount of fuel will decrease. Thus the amount remaining is inversely proportional to the distance driven.
Let 'x' be the distance driven (in kilometers) by the truck and 'y' be the remaining fuel (in liters) in the tank.
It says that the truck consumes 0.8 liters of fuel for each kilometer driven.
Then the linear equation modelling this will be :
y = 400 - 0.8x
The graph can be drawn with values of 'x' on the x-axis and the values 'y' on the y-axis.
x y
1 399.2
2 398.4
3 397.6
4 396.8 and so on.
The question is incomplete. Find the complete question below:
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).
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what is the simplest form of 3/2 + 6/5
Answers
Answer:
[tex]2\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]\frac{3}{2}+\frac{6}{5}[/tex]
[tex]=\frac{15}{10} +\frac{12}{10}[/tex]
[tex]=\frac{27}{10} =2\frac{7}{10}[/tex]
6(5)=30-3=27.
5(2)=10. 27/10
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Answers
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
Which is the best estimate for the percent that is represented by the shaded portion of the diagram?
A grid model with 8 squares. 3 squares are shaded.
30%
36%
38%
40%
Answers
0.375 x 100 = 37.5%
37.5% is closest to 38%
A scale drawing of a building is shown below. The scale of the drawing is 1 cm = 5 m
What is the perimeter of the actual building?
Answers
Answer:
150
Step-by-step explanation:
P = total distance
find the remaining distance which is
9- 4 = 5cm
6-4 = 2cm
P= 4+9+6+4+2+5
P= 30cm
Actual Perimeter
1cm = 5m
30 cm=?
30*5 = 150m
Answer:115
Step-by-step explanation:
There is a picture below please help and fill in the blanks.
Answers
The points (-7,8) and (-11, -13) are the endpoints of a diameter on circle P. What is the length of the diameter of circle P? Round to the nearest tenth.
Answers
The lenght of the diameter of the circle P is 6.4
To solve this particular sum we need to know the concept of Distance formula . Distance formula is nothing but calculating the lenght of a line segment which has two end points .There are various types of distance formulas which we can use to calculate various things.
The different types of distance formulas are :
Distance between 2 points in a 2D Distance between 2 points in a 3D Distance between from a point to plane Distance between two parallel linesThe distance formula is : √{(x₂-x₁)² + (y₂-y₁)²}
Using this formula we will be able to find out the lenght of diameter of the circle P where endpoints are given as (-7,8) and (-11,-13)
(x₁,y₁) = (-7,8)
(x₂,y₂) = (-11,-13)
Substituting the values of x₁,y₁,x₂,y₂ in the formula we will get
∴ √{(-11+7)²+(-13+8)²}
= √{(-4)²+ (-5)²}
= √{16+25}
= √41
= 6.403
= 6.4 (rounded of to the nearest tenth)
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What is the difference of the polynomials? (9x^2 + 8) = (2x^2 + 3x)?
Answers
Answer:
7x^(2) - 3x + 8
Step-by-step explanation:
(9x^(2) + 8) - (2x^(2) + 3x)
distribute the "-" sign.
9x^(2) + 8 - 2x^(2) - 3x
Now combine like terms; (an "x^(2)" goes with an "x^(2)", not with an "x")
9x^(2) - 2x^(2) -3x + 8
7x^(2) - 3x + 8
8 cm
15 cm
20 cm
What is the surface area of the cuboid?
Answers
Answer:
Step-by-step explanation:
remember that the surface area is
S=2lw+2lh+2hw
S=2(15*20)+2(15*8)+2(8*20)=600+240+320=1160 cm^2
The surface area of the cuboid is 1160 square cm whose dimensions are
l= 20cm, w= 8 cm and h = 15 cm.
Given:
Length = 20 cm
width = 8 cm
Height = 15 cm
So, the formula for Surface area of Cuboid is
= 2(lw+ wh + lh)
Substituting the values l= 20cm, w= 8 cm and h = 15 cm into the formula as
= 2(lw+ wh + lh)
= 2 (20 x 15 + 8 x 15 + 8 x 20)
= 2 (300 + 120 + 160)
= 2 (580)
= 1160 square cm
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Find f(g(3)). PLEASE HELP me asap!!!!! thank you so so much!!!! *will give brainliest*
Answers
=========================================================
Explanation:
Start at x = 3 on the x axis. Move up until you reach g(x), then move to the left to hit the y axis. You should arrive at y = 3.
That y value is the input to the f(x) function.
Plugging x = 3 into the f(x) function has us draw a vertical line down to f(x) and then go horizontally until we reach y = -2.
Can anybody help me with this i will cashapp u $5 if its correct
Answers
Answer:the first one is 12 I believe and the second is 16. If it is wrong I’m terribly sorry I don’t need the money.
Step-by-step explanation:
Add
evaluate the expression when c=8 and d=7. d+4c
Answers
7 + 4(8) = 7 + 32 = 39
The answer is 39
Answer:
Step-by-step explanation:
d + 4c just replace the d and c with numbers
c is 8 and d is 7
7+32=39
What is one common misconception students have that prevent them from filing the FAFSA?
Answers
The set of all real numbers x that satisfies -3
Answers
Answer:
[tex]567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} [/tex]
Step-by-step explanation:
copy that in your paper good luck to you
Answer:
It's False
Step-by-step explanation:
both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.
Basically:
( ) = > <
[ ] = ≥ ≤
Six times a number is greater than 20 more than that number. What are the possible values of that number?
On-4
On>4
O n> 20/7
o n<20/7
Answers
Answer:
6x > x + 20,
x > 4
or
X belongs to a set of real numbers [0, +infinity)
Step-by-step explanation:
6x > x + 20
5x > 20
x > 4
Help plz!!!:)!!!!!!!!!!!
Answers
Answer:
The answer is D Hope this helps
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Malachi’s fishing rod to the nearest cent.
Answers
Answer:
$3.21
Step-by-step explanation:
Can someone explain how to do this?
Answers
Answer:
Step-by-step explanation:
The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.
6^2 + 6^2 = x^2
36 + 36 = x^2
x^2 = 72
sqrt(x^2) = sqrt(72)
x = 6√2
Elite Inc. has the following balances: Cash ($1,000), Equipment ($10,000), Salaries payable ($5,000), Building ($15,000), Land ($50,000), Equity ($50,000), and Loan payable ($10,000). An accountant prepares a Trial Balance, and it does not tally due to an unknown error. Which amount would the accountant record in a suspense account?
A. $12,000
B.$11,000
C.$13,000
D.$9,000
E.$10,500
Answers
Answer:
E
Step-by-step explanation:
The answer is E because none of the balances of Elite Inc. offers can account for the $500
Helppp me please I would really appreciate it please!!
Answers
Answer:
b?
Step-by-step explanation:
5. Rochelle needs to pack a picture frame that measures 7 inches
on each side. Will it fit into a box that measures 7.52 inches on each
side? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
7.52 inches is bigger than 7 inches
Express (x+7)^2 as a trinomial in standard form.
Answers
I WILL GIBE BRAINLIST TO THE FURST PERSO WHO AN ANSWER PLZ HELP Is 38 over 53 in simplest form? Explain why or why not. If not, write it in simplest form.
Answers
Answer: its simplest form, because 53 is a prime number so is not divisible by anything other than itself and 1, and 38 is smaller than 53.
Answer:
It is already in simplest form
Step-by-step explanation:
38 and 53 cannot be further divided
Please solve number 5
Answers
Answer:
y = 3x + 1
Step-by-step explanation:
Hope this helps!
i hope this helps you :)