Triangle FGH is rotated and then dilated by a scale factor of n to form triangle F’G’H’.
If FGH F’G’H’ what is the value of n
Answers
Answer:
B. [tex] n = \frac{1}{3} [/tex]
Step-by-step explanation:
If ∆FGH ~ ∆F'G'H', then their corresponding side lengths would be proportional. This means:
F'G'/FG = G'H'/GH = F'H'/FH = n
The ratio of any of their corresponding side lengths will give you the value of n.
Therefore:
n = F'G'/FG
F'G' = 5
FG = 15
Thus,
[tex] n = \frac{5}{15} [/tex]
[tex] n = \frac{1}{3} [/tex]
The scale factor which is a fraction implies that the size of ∆FGH was reduced after dilation.
Related Questions
. A sporting goods store offers a rewards program where the customer earns a $20 gift card for every 1,500 points. Suppose a new customer receives a certain number of points when signing up and earns a number of points for every dollar purchased at the store. If a new customer has 750 points after spending $30 and 1,025 points after spending $85, how much does the customer have to spend to earn the first gift card?
Answers
390 because 1025 plus 85 =1,110-1,500 = 390 so he has to spend 390 more
"mailing labels are sold in packages of 16 envelopes are sold in packages of 20 what is the least number of labels and envelopes you can buy so that there is one label on each envelope with none left over?"
Answers
Answer:
80 labels
Step-by-step explanation:
The number of packages are 16 envelopes and 20 envelopes
We solve using LCM Method
We find the Multiples of 16 and 20
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Therefore,
LCM(16, 20) = 80
The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels
Answer:
80 labels
Step-by-step explanation:
12,320 yd = how many MI
Answers
Answer:
7 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
12,320 yds
Step 2: Define conversion
1 mi = 1760 yds
Step 3: Find mi
[tex]12,320 \ yds(\frac{1 \ mi}{1760 \ yds} )[/tex] = 7 mi
PLS HELP I WILL MARK BRAINLIEST SINCE YOIR WRITING FOR ME
Answers
if you add 0.5 to -0.5 you will get 0
if you add 1.5 to -1.5 you will get 0
thus 0.5 is the answer due to it needing a lesser value to be added to obtain the value 0
Answer:
-0.5. -0.5 is to the right of -1.5
Which inequality shows the relationship between the plotted points on the
number line?
-8
0
A. -4<-8
B. -8<-4
C. -8>-4
O D. 4<-8
Answers
Answer: if yall need the answer for this then its C
Step-by-step explanation:
Which number is the additive inverse of -4
-442
O
-4
O
45
V
Answers
Answer:
it's the last one i mean 4&1/4
Answer:
last image== four and one fourth
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6,4) and (2,0). (2 points)
Answers
Answer:
y - 4 = -0.5(x + 6)
Step-by-step explanation:
Answer:(4-,6)
Step-by-step explanation:hope this helps u i do my best to helps ever one
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:45 mins.
Step-by-step explanation: half of 30 is 15 (one box = 15) and 15 times 3 is 45
suma de fraccion 1/5 + 5/8
Answers
33/40
Step-by-step explanation:
you have to look for the lcm
1/5+5/8
8/40+25/40=33/40
what is 15+15 I need help
Answers
Answer:
30
Step by step explanation:
lol
Help Please I really need help!
Answers
because the flat rate will stay the same, depending on how many hours or labor is how much more money you will pay. 60 dollars per hour of labor
Help please I’ll mark as brainliest!
Answers
Answer:
I think its B cause i was solving it and my answer came close to letter B
Step-by-step explanation:
i tried
CAN SOMEONE PLS HELP
Which phrase best completes this table?
Table:
(Queen Hatshepsut's Accomplishments)
* Opened trade with many other regions
* Was only the second woman to rule Egypt
* ???????????
Options to choose from for the third one :
A. Gave women the same rights as men
B. Built many roads and temples
C. Made peace with the Hittites
D. Invaded the kingdoms of Punt and Somalia
Please help me I need an answer fast!
I REALLY NEED HELP
Answers
Answer:
B built many roads and temples
Suppose a trapezoid with the vertices (3,-7) , ( 0,5 ) ,(2,5) , and (5,-7 ) was reflected across the x-axis. Which of these would be a vertex of the reflected figure
A. ( -7,5)
B (-3 ,7)
C (2,5)
D(3,-7)
Answers
Step by step explanation
I am not the best at explaining but he opposite of(3,-7) is (-3,7) the way I did it is way better than the explanation but it’s (-3,7)
Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?
Answers
Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
Find out more at: https://brainly.com/question/22803385
please help me I asked like 2 times and no one has helped :/
Answers
Answer:
A and B are parallel.
I just need an answer
Answers
Answer:
Step-by-step explanation:
The similar things between the two is that they both to through the y-intercept and x-intercept, but one graph is positive and the other is negative and also have different slopes.
Identifying Slope and Y-intercept (Word
Problems)
Alimousine service charges a $35 flat rate fee plus $2.50 per mile
if traveled. Identify the slope and y-intercept.
Identifying slope and y- intercept
Answers
Answer:
i dunno
Step-by-step explanation:
Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______
Answer it please
Answers
how to do it and the answers are above
i hope this help you
if you don't understand, please comment ✔️✔️✔️
Answer:
1h 54 mins
Step-by-step explanation:
What is asked? : time did they spend in BOTH ways
What are given? : time they go and back
Write the mathematical sentece :
[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]
Solution and answer : (24) + (90) = 114 mins
= 114 mins - 60 mins
= 1h 54 mins
Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?
Answers
Answer:
The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2
Step-by-step explanation:
In the linear equation, y =mx + b
This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.
In the equation, y represents the height of the trees after x years.
m is the gradient, that is, the rate at which the trees are growing.
and b is the height at the time they were planted, that is, at time x = 0.
From the question,
Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,
b = 2
Also, from the question,
The trees have grown at an average rate of 3/4 foot per year, that is,
m = 3/4
Hence, the equation becomes
y = 3/4x + 2 ([tex]y = \frac{3}{4}x + 2[/tex])
OR
y = 0.75x + 2
Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2.
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Given :
Six 2-foot tall pine tress were planted.
The trees have grown at an average rate of 3/4 foot per year.
We need to frame linear equation that represents the height of the tree in terms of number of years.
Linear equation is y=mx+b
where b is the initial height of the tree
m is the rate of growth of the tree
y is the final height of the tree
and x represents the number of years
Initial height of the tree is 2 foot
rate of growth is 3/4 foot per year
x is the number of years
Replace all the values inside y=mx+b formula
[tex]y=\frac{3}{4}x+2[/tex]
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Learn more : brainly.com/question/20816424
can u pls help me with this question
Answers
Answer:
A
Step-by-step explanation:
Options A, B and C are the same:
2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)
But most common and most used is a fraction
So, the answer is A
How many metres and centimetres are in 3080mm
Answers
Answer:
3080mm = 3.08 meters
3080mm = 308 centimeters
Step-by-step explanation:
1 meter = 1000 mm
3080mm = 3080/1000 = 3.08 meters
1 centimeter = 10 mm
3080mm = 3080/10 = 308 centimeters
hellpppppp please I will give brainliest
Answers
Answer:
ITS THE 2ND ONE
Step-by-step explanation:
Answer:
y = 5/4x - 1
Step-by-step explanation:
if you look at the graph you will probably be able to tell
im not trying to be me if you think
Ignore the marked answer, accidentally clicked it
Answers
From the Pythagoras's Theorem, we know that:
(Hypotenuse)² = (base)² + (perpendicular)²
We are Given:
We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)
Solving for the Hypotenuse:
replacing the variables in the Pythagoras's theorem, we get:
Hypotenuse² = (m²-n²)² + (2mn)²
Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²) [(a-b)² = a² - 2ab - b²]
Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²
Hypotenuse² = m⁴ + 2m²n² + n⁴
Hypotenuse² = (m²)² + 2m²n² + (n²)²
Hypotenuse² = (m² + n²)² [a² + 2ab + b² = (a+b)²]
taking the square root of both the sides
Hypotenuse = m² + n²
Describe the graph of y = negative x squared and compare it with the graph of y = x squared.
Answers
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Answer:
The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.
Step-by-step explanation:
This was the possible answer that was given :)
SECTION 2-4 PRACTICE
For problems 3–7 use the Social Security tax rate of 6.2 percent and Medicare
tax rate of 1.45 percent to determine each tax and the total deduction.
Gross Soc. Sec. Tax Medicare Tax
Total
Pay
Withheld
Withheld
Deduction
3.
a.
C!
b.
b.
а.
C.
4.
5.
$ 125.00
432.00
241.00
1,562.00
2,521.00
a.
b.
C.
a.
b.
c.
6.
7.
b.
C.
a.
US 4
Answers
Answer:
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56
b. 432.00 26.78 6.26 33.04
c. 241.00 14.94 3.49 18.43
d. 1,562.00 96.84 22.65 119.49
e. 2,521.00 156.30 36.55 192.85
Step-by-step explanation:
a) Data and Calculations:
Social Security tax rate = 6.2%
Medicare tax rate = 1.45%
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total Pay
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56 $115.44
b. 432.00 26.78 6.26 33.04 398.96
c. 241.00 14.94 3.49 18.43 222.57
d. 1,562.00 96.84 22.65 119.49 1,442.51
e. 2,521.00 156.30 36.55 192.85 2,328.15
Total $4,881.00 302.61 70.76 373.37 4,507.63
9x minus 10 = 3x + 2
Answers
Four less than 6 times a number is the same as the number plus 11.
Complete the equation
Answers
Answer:
×=3
Step-by-step explanation:
6x-4 = x+11
6x-x = 11+4
5x = 15
x = 3
What mathematical property is represented by the equation below
c+d=d+c
Answers
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
What is an equation for the line that passes through the points (-2, 3) and (2, 1)
Answers
(1-3)/(2+2) = -2/4 = -1/2
Y = -1/2x + b, plug in point
3 = -1/2(-2) + b
3 = 1 + b, b= 2
Final equation: y = -1/2x + 3