Use the scale factor from Part I and a proportion to find the length of RT. Show your work.
Answers
AB=RS
ST=BC
AC=RT
Which means
How many 6 go into 18
How many 3 go into 9
How many 5 go into 15
They all 3
So the answer is it is enlarged by 3
Similar triangles are those triangles whose corresponding sides are in the same ratio. The length of the sides ST and RT are 5 units and 3 units, respectively.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.
Given that the two triangles are similar because the two have the same ratio. Therefore, the ratio of the corresponding sides in the triangle can be written as,
Ratio = AB/RS = BC/ST = AC/RT
Ratio = 18/6 = 15/ST = 9/RT
Now, using the ratio the length of the sides can be written as,
18/6 = 15/ST
ST = (15 × 6)/18
ST = 5 units
18/6 = 9/RT
RT = (9 × 6)/18
RT = 3 units
Hence, the length of the sides ST and RT are 5 units and 3 units, respectively.
Learn more about Similar Triangles:
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Related Questions
Will give brainliest
Answers
Answer:
C.(-10,79)
Step-by-step explanation:
please help!
is there a point of intersection for the lines;
3y=2x-6 and 3y=-2x+15
please someone help me i beg
Answers
Answer:
(5.25, 1.5)
Step-by-step explanation:
i hope this helps! i used desmos graphing calc!
Let a triangle with integer angle measures have one angle of 116°. What is the largest possible angle measure opposite the smallest side in the triangle?
Answers
Answer:
what will I do here?
Step-by-step explanation:
sorry im still grade 3
The function P=0.00892 + 1.11491 + 78.4491 models the United States population in millions since 1900. Use the function
P to predict the year in which the population exceeds 1 billion,
Answers
Answer:
P = 31.7097894
Step-by-step explanation:
I think this is right. let me know if its wrong
A bag contains three red balls and six green balls you plan to select three balls at random determine the probability of selecting three green balls. The problem has to be done with combinations to determine the probability
Answers
Answer:
The answer is likley 6/9
Step-by-step explanation:
Total number of balls = 9
Red: 3/9 chance of being selected
Green: 6/9 chance of being selected
Basically, there is a way higher chance of selecting 3 green balls and an even HIGHER chance of selecting 6!
I need help please. Will give brainliest
Answers
Answer:
volume of cuboid=l×b×h=8×4×4=128cm³
volume of half cylinder=1/2(π(d/2)²h)=1/2×22/7×8=12.57cm²
volume of figure=128-12.57=115.43cm²
Which fraction can be replaced with 1/2 when estimating with fractions? A. 1/8 B. 2/9 C. 2/3 D. 10/12
Answers
Answer:
d
Step-by-step explanation:
A bicycle is on sale for 20% off The bicycle regularly costs $129.95 what is the sale price
Answers
Answer:$103.96
Step-by-step explanation: $129.95*0.2= $25.99
129.95-$25.99=$103.96
Answer:
Step-by-step explanation:
Find the area of the kite with the given information.
Answers
Answer:
Area of the given kite = 84 square inches.
Step-by-step explanation:
Properties of the diagonals of a kite,
1). Diagonals are perpendicular to each other.
2). Longer diagonal bisects the smaller one.
Therefore, Length of smaller diagonal BD = 2×6 = 12"
In right ΔAEB,
m∠ABE = m∠EAB = 45°
Therefore, in isosceles triangle AEB,
AE = BE = 6"
Now the length of longer diagonal AC = AE + EC
AC = 6" + 8"
= 14"
Area of the given kite ABCD = [tex]\frac{1}{2}(d_1)(d_2)[/tex]
= [tex]\frac{1}{2}(AC)(BD)[/tex]
= [tex]\frac{1}{2}(14)(12)[/tex]
= 84 square inches
A dolphin swam 600 feet in 20 seconds how many feet did the dolphin swim in one second
Answers
Answer:
30 ft
Step-by-step explanation:
Answer: 30 feet❤️
just divide:
600/20=30 feet
CELL PHONES Many cell phone plans have an option to include more than one phone. The function for the monthly cost of cell phone service from a wireless company is f(x) = 25x + 200, where x is the number of phones on the plan. Find and interpret f(3) and f(5).
Answers
Answer:
f(3)=275, f(5)=325
Step-by-step explanation:
We just plug in 3 and 5 into the equation:
We get f(x) = 25x + 200
f(3) = 25*3 + 200
=75+200
=275
Interpretation: if there are three cell phones on the plan, then the total monthly cost is 275.
for f(5):
f(5) = 25*5 + 200
=125+200
=325
Interpretation: if there are five cell phones on the plan, then the total monthly cost is 325.
Answer:
f(3)= 75, which is the cost of a cell phone plan with 200 phones for 275 a month;
f(5)= 125, which is the cost of a cell phone plan with 200 phones for 325 a month;
what is the difference between online school and in-person
pls just write some down for a project thanks :)
Answers
Answer:
The difference between online school and in person school is that online is online and inperson is in person.
Step-by-step explanation:
Answer:
Online-School is worse and In-person is better bc when your at home your not face to face with the teacher and you can get bad grades and when your at school you can get better grade and online- school is hard bc you have lots of homework and it complicated but have a great day
Step-by-step explanation:
You kayak up a river at a rate of 192 feet every 2 minutes.You kayak down
a river at a rate of 423 feet every 3 minutes.How much farther do you
kayak in 5 minutes on the way down the river than in 5 minutes on the way
up the river.
Answers
Answer:
225 feet farther.
Step-by-step explanation:
This question can be solved using rules of three.
Up the river in 5 minutes:
You kayak up a river at a rate of 192 feet every 2 minutes. That is, a rate of 192/2 = 96 feet per minute.
So in 5 minutes, you will kayak 96*5 = 480 feet up the river.
Down the river in 5 minutes:
You kayak down a river at a rate of 423 feet every 3 minutes. That is, a rate of 423/3 = 141 feet per minute.
So, in 5 minutes, you will kayak 141*5 = 705 feet down the river.
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river.
706 - 480 = 225 feet farther.
HELLPPPPPPP
You started with $20 in your bank account. Each week you add $8.50 to your account.
How much money will you have in your account in 6 weeks?
Answers
Answer:
$71.00
Step-by-step explanation:
$8.50 x 6= 51
$20.00 + 51.00 = $71.00
Lydia ran 10 miles in 120 minutes. How many minutes did she run per mile?
Answers
Answer:
It took Lydia 12 minutes to run each mile
Step-by-step explanation:
120/10
Answer:
12 minutes per mile.
Step-by-step explanation:
For this one all you have to do is divide 120 the total minutes by 10 the total number of miles and you get 12 minutes per mile.
If EFG=35 and GFH=63 what is EFH
Answers
Answer:
98
Step-by-step explanation:
if EFG=35 and GFH=63 then you would just add them to get 98
For the given figure, the value of ∠EFH is 98°.
What is an angle?When two lines meet at a point then two angles are formed. In the same way, when two planes are intersected, angles are also formed.
Here, the value of the ∠EFG = 35° and the value of the ∠GFH = 63°.
From the given figure, it is clear that, the sum of the angles ∠EFG and ∠GFH is equal to the ∠EFH.
Therefore, ∠EFH = ∠EFG + ∠GFH = 35° + 63° = 98°
Hence, the value of ∠EFH is 98°.
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X^9/7 convert from exponent form to radical form
Answers
Answer:
[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]
Step-by-step explanation:
You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.
Note also that the order does not matter. You could also express it as
[tex]\sqrt[7]{x}^9[/tex]
The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:
[tex](x^9)^{1/7}[/tex]
and the second would be:
[tex](x^{1/7})^9[/tex]
In both cases, the exponents would be multiplied, giving the same result.
(5X10^-7) x (3 x10^6)=
Answers
Answer:
1.5 x 10^0
Step-by-step explanation:
Make a Matlab script to make row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row 2.
A= [2 -1 10]
[-3 8 4]
Answers
Answer:
[tex]X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}[/tex]
Step-by-step explanation:
From the question we are told that
Matrix is given as [tex]A=\begin{Bmatrix}2 & -1 & 10\\-3 & 8 & 4\end{Bmatrix}[/tex]
Generally let the change in matrix be given as X
[tex]X_1_2 = 2*(-(-1)) + - 1 = 1X_2_2 = -3 * (-(-1))+ 8 = 5[/tex]
Matlab output
[tex]A=[2 -1 10;-3 8 4]\\a=(A(1,1)*-A(1,2))+A(1,2)\\b=(A(2,1)*-A(1,2))+A(2,2)\\X=[A(1,1) a A(1,3); A(2,1) b A(2,3)]\\[/tex]
Generally the matrix that makes row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row is
[tex]X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}[/tex]
Six students earned a perfect score on a history quiz. Only 5% of the entire grade earned a perfect score. How many students are in the grade?
Answers
Answer:
120
Step-by-step explanation:
If 6 = 5%, then 6 = 1/20 of the total grade. 6×20= 120
19. Which situation can be represented by this inequality?
120 > 12k + 29
A. Frank has 12 coins in his collection. He will collect 29 new coins every year. Frank collects coins for k
years. For what values of k will Frank have at least 120 coins?
B. Frank has 29 coins in his collection. He will collect 12 new coins every year. Frank collects coins for k
years. For what values of k will Frank have at least 120 coins?
C. Frank has 29 coins in his collection. He will collect 12 new coins every year. Frank collects coins for k
years. For what values of k will Frank have at most 120 coins?
D. Frank has 12 coins in his collection. He will collect 29 new coins every year. Frank collects coins for k
years. For what values of k will Frank have at most 120 coins?
he
Answers
Answer:
A
Step-by-step explanation:
32,005,008 in expanded form
Answers
Answer:(3 x 10000000) + (2 x 1000000) + (0 x 100000) + (0 x 10000) + (5 x 1000) + (0 x 100) + (0 x 10) + (8 x 1)
Step-by-step explanation: Use the place value to help you .
Answer:
30,000,000+2,000,000+5,000+8
Step-by-step explanation:
Expanded form is when you break the number apart and write it as an addition expression. You break it where ever there is isn't a 0
*haven't done this type of math in a while, hope this helps!*
.
A jacket costs $50. The sales tax is 7%. How much tax will you pay?
i neeed this fast pls
Answers
Answer:
You will pay $3.50 tax
Step-by-step explanation:
$50 * 7% =
$50 *0.07 =
$3.50
Tanner has 30 stickers. He puts 6 stickers on each page. How many pages does he put stickers.
Answers
Answer:
5 pages
Step-by-step explanation:
6 times 5 is 30
Answer:
Step-by-step explanation:
5
how many more calories do you burn per minute downhill skiing than hiking
Answers
Answer: 2 more calories skiing
Step-by-step explanation:
First find the slope of each line.
Slope of Skiing:
= (Y₂ - Y₁) / (X₂ - X₁)
= (400 - 240) / (50 - 30)
= 8
= 8 calories per minute
Slope of Hiking
= (360 - 120) / (60 - 20)
= 6
= 6 calories per minute
Difference:
= 8 - 6
= 2 more calories skiing
If a wholesale price of an item is $250 and the markup is 25%. how much will you pay for the item.
Pls show your work if u answer
Answers
Step-by-step explanation:
250/100= 2.5
2.5×25= 62.5
250+62.5= 312.5
you will pay $312.50
5. Write an inequality that represents the phrase "the sum of twice a number and four is at least sixteen".
Answers
Answer:
x>5andx≤9
Step-by-step explanation:
9.Jazmine makes a base salary of $750 per week. She sold a car this week
for $25,000 and get a 3% commission on her sales. What is her total salary
this week?
Answers
Answer:
1,500
Step-by-step explanation:
Answer:
1,500
Step-by-step explanation:
"You care for Mrs. Jones who has dementia. She continues to ask for her
husband, whom you know passed away several years ago. How would you
assist Mrs. Jones?"
Answers
Answer:
I would gently let her know, then help her come to terms with it everytime she asked
Step-by-step explanation:
2. The diagram of Andy's Pizza Shack is on the left. What is the
perimeter of the building?
Answers
Answer:
22? are there answer choices
Answer:
the perimeter is 32.5 ft
Step-by-step explanation:
the triangle is 3 x 5 = 15 divided by 2 = 7.5
the square is 5 x 5 = 25
25 + 7.5 = 32.5
hope this helps a bit !!!