Answers
Answer & Step-by-step explanation:
In order to solve this problem, we are going to have to divide. Since the triangles are similar, then that means that we are going to have to find the ratio between the sides which will also be our scale factor.
We can divide 75 by 15 since they are corresponding sides. Once we find the ratio between the sides, then we can conclude that the scale factor would be that number.
75 / 15 = 5
So, the scale factor of XYZ to UVW is 5.
The scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.
What is scale factor?The ratio that we get when you divide corresponding side lengths of similar figures is called the scale factor.
According to the given question.
We have a two triangles Xyz and UVW. And both the triangles are similar to each other.
In triangle Xyz we have
[tex]Xy = 60[/tex]
[tex]yz = 75[/tex]
and
[tex]zX = 90[/tex]
Also, in triangle UVW we have
[tex]UV = 12[/tex]
[tex]VW = 15[/tex]
and, [tex]WU = 18[/tex]
Therefore, the scale factor of Xyz to UVW is given by
[tex]\frac{Xy}{UV} =\frac{yz}{VW} =\frac{zX}{WU}[/tex]
⇒ [tex]\frac{60}{12} =\frac{75}{15} =\frac{90}{18} =5[/tex]
Hence, the scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.
Thus option B is correct.
Find out more information about scale factor here:
https://brainly.com/question/17202953
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Related Questions
Please help image below homework due in today
Answers
Answer:
A=190 CM 2
Step-by-step explanation:
A=1/2[a+b]h
A=1/2[12 + 26] 12
A=190 CM2
Answer:
[tex]190 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} \times (a + b) \times h \\ \frac{1}{2} \times (12 + 26) \times 10 \\ \frac{1}{2} \times 38 \times 10 \\ \frac{380}{2} \\ = 190 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
please find x and y i have tried so hard and i cant. i beg of you. 10 points
Answers
Answer:
x= About 5.2
y= About 14.7
Explanation:
X: tan60=9/x ; x=9/tan60 = About 5.2
Y: sin60=9/z ; z=9/sin60 ; z=10.4 ; sin45=10.4y ; y=10.4/sin45= About 14.7
I put z as the line opposite to 45 degrees. You need to add this value in order to solve for y.
simplify sqrt of -72
Answers
Answer:
6√2 i.
Step-by-step explanation:
√-72
= √72 i
= √36 * √2 i
= 6√2 i.
Jessica hired a mowing company to clean her yard. The mowing company charges a fixed fee of $15 plus $17 per hour to clean her yard.
(1 point) Write an equation that can be used to determine, , the total amount in dollars that the mowing company charges to clean a yard in h hours.
(2 points) The mowing company charged a total of $86 to clean Jessica’s yard. How many hours did it take to clean Jessica’s yard?
A second mowing company charges $25 per hour to clean a yard. The second company does not charge a fixed fee in addition to their hourly rate.
(2 points) For what number of hours is the total amount charged for cleaning a yard the same for both companies? Show or explain how you got your answer.
Answers
Answer:
it took 5 hours to clean Jessica's yard
write the equation of the line that passes through the points (-1, 2) and (6,3) in slope-intercept form
Answers
Answer:
y=(1/7)*x+(15/7)Step-by-step explanation:
first, lets find the slope:
m=(y2-y1)/(x2-x1)
m=(3-2)/(6-(-1))
m=1/7
y=(1/7)*x+b
to find b lets pug in a point we know into the equation:
3=(1/7)*6+b
21/7=6/7+b
b=(21/7)-(6/7)
b=15/7
now we know the equation in slope intercept form representing this function is:
y=(1/7)*x+(15/7)
Answer:
y= 1/7x+15/7
Step-by-step explanation:
points
(-1, 2) and (6, 3)
slope intercept form:
y= mx+b2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7
y= 1/7x+15/7Question is in the image
Answers
Answer:
AB = 3.5 cm
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h the length of prism )
Here V = 84 and h = 12 , thus
12A = 84 ( divide both sides by 12 )
A = 7 ← area of Δ ABC
Thus
[tex]\frac{1}{2}[/tex] × 4 × AB = 7
2AB = 7 ( divide both sides by 2 )
AB = 3.5 cm
what is the surface area of a sphere whose great circle has a circumference of 16.4 inches
Answers
Answer:
[tex]85.6in^2[/tex]
Step-by-step explanation:
to find the surface area we need the radius of the sphere.
We can find the radius using the formula for circumference:
[tex]C=2\pi r[/tex]
we know that the circumference is
[tex]C=16.4in[/tex]
thus
[tex]16.4in=2\pi r[/tex]
solving for r:
[tex]r=\frac{16.4in}{2\pi} \\r=2.61in[/tex]
and now that we know the radius we calculate the surface area:
[tex]SA=4\pi r^2[/tex]
substituting r:
[tex]SA=4\pi(2.61014in)^2\\SA=4\pi(6.81in^2)\\SA=85.6in^2[/tex]
the surface area is equal to [tex]85.6in^2[/tex]
Name the slope perpendicular to 3/4.
Answers
Answer:
The perpendicular slope is -4/3
Step-by-step explanation:
Perpendicular slopes multiply to -1
m * 3/4 = -1
Multiply each side by 4/3
m * 3/4 *4/3 = -1 * 4/3
m = -4/3
The perpendicular slope is -4/3
Answer:
the perpendicular slope is -4/3
Step-by-step explanation:
A trumpet player is currently standing in position (3, 2) on a gridded football field. Her bandleader
instructs her to move two units to the left and one unit up. What are her new coordinates?
The trumpet player's new coordinates are
Answers
Answer:
(1, 3)
Step-by-step explanation:
Current position (3,2)
Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)
Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)
What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?
Answers
Answer:
y+3=2/3(x-9)
Step-by-step explanation:
2x-3y=6
-3y=-2x+6
y=2/3x-2
This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:
y+3=2/3(x-9)
Hope this helps!
Answer:
y = 2/3 - 9
Step-by-step explanation:
1. rearrange the equation
-3y = -2x + 6
y = 2/3 - 2
2. because it is parallel, the gradient will be the same. substitute into y - y1 = m(x-x1)
y - (-3) = 2/3 (x - 9)
y + 3 = 2/3 - 6
y = 2/3 - 9
Given the figure below, find the values of x and z.
Answers
Answer: x = 2 and z=78
Step-by-step explanation:
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.
Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:
5x + 92 + 78 = 180
5x + 170 = 180
5x = 180 - 170
5x = 10
x = 10/5
x = 2
Consider the linear function below
Answers
The scores for a state's peace officer training test are normally distributed with a mean of 55 and a standard deviation of 12. The test scores range from 0 to 100. A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?
Answers
Answer:
About 84% of the people have test scores that make them eligible to be interviewed
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 55, \sigma = 12[/tex]
A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?
This is 1 subtracted by the pvalue of Z when X = 43. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{43 - 55}{12}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
1 - 0.1587 = 0.8413
Rounding to the nearest percent
About 84% of the people have test scores that make them eligible to be interviewed
What is the product of the polynomials below?
Answers
Answer:
Step-by-step explanation:
8x^3 + 16x^2 - 4x^2 - 8x -8x - 16
8x^3 + 12x^2 - 16x - 16
answer is c
I need this ASAP please.
Answers
Answer:
[tex] \boxed{C. \: 19 \degree } [/tex]
Step-by-step explanation:
[tex] = > (6x + 11) \degree = (7x - 8) \degree \\ \\ = > 6x \degree + 11 \degree = 7x \degree - 8 \degree \\ \\ = > 6x \degree - 7x \degree = - 8 \degree - 11 \degree \\ \\ = > \cancel{-} x \degree = \cancel{- }19 \degree \\ \\ = > x \degree = 19 \degree [/tex]
6171819
9
1
TH!
How many triangles do you see in the diagram?
Complete the explanation
There are
small triangles.
There are
There are
There is
triangles made of 2 triangles and 1 rhombus.
triangles made of 3 triangles and 3 rhombuses
triangle made of 4 triangles and 6 rhombuses.
large outer triangle
triangles in all
Lastly, there is
There are
Answers
Answer:
I am just trying I think the Ans is 7
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
The cost to purchase a movie from Movie
Time is $3.00 per movie as well as a $10.00
membership fee. To purchase a movie from
Movie City, the membership fee is $30.00 and
every downloaded movie is $2.00. How many
downloaded movies must be purchased for
the monthly price to be the same?
Answers
PLS HELP!!!!! WILL MARK BRAINLIEST Jake is moving. He rented the following moving truck. All the boxes that he has are the same size. He wants to determine the maximum number of cube shaped boxes he can fit in the moving truck. Show all calculations and label all work.
Answers
Answer:
He can fit 53 boxes in the moving truck.
Step-by-step explanation:
Dimensions of the container of truck = 15 feet × 7.5 feet × 7.5 feet
The volume of the container of moving truck = Length × width × height
= 15 × 7.5 × 7.5
= 843.75 feet³
Sides of each small square box = 2.50 feet
Volume of the one box = 2.5 × 2.5 × 2.5
= 15.63 feet ³
Maximum number of cube shaped boxes he can fit in the moving truck
= [tex]\frac{843.75}{15.63}[/tex]
= 53.98
He can fit 53 boxes in the moving truck.
Students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. What is the total price for 4 students' tickets if the regular cost per ticket is $6.00?
Answers
Answer: about $22 or 21.6 in decimal form
Step-by-step explanation: $6.00 - 10% is 5.4
5.4 + 5.4 +5.4+5.4 is 21.6 or $22 rounded up
I am having a bit of trouble with this
write an expression, with fewer terms, that is equivalent to 9x+6-4x+9
Answers
Answer:
5x + 15
Step-by-step explanation:
Given
9x + 6 - 4x + 9 ← collect like terms
= (9x - 4x) + (6 + 9)
= 5x + 15
if 7128 = 2^p * 3^q * 11^r find the value of p+q+r
Answers
Answer:
p+r+q=411
Step-by-step explanation:
7128=2p,3p,11r
7128=2p+3p=5p+11r
7128=5p÷5p+11r
7128=11r
7128÷11r
p+r+q=411
Emily studies 40 minutes after lunch for a science exam. She studies x more minutes that evening. Enter an equation that represents the total number of minutes, y, Emily studies for the science exam.
Answers
Because she studies 40 plus x more minutes
What side corresponds to AB ?
Answers
Answer:
LM
Step-by-step explanation:
Please answer Correctly !!!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
The cost per duck is $5.00 and $8.00 for chickens
Step-by-step explanation:
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
9d = 165 - 15c
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5
The sum of the numerator and the denominator of the certain fraction is equal to 4,140. When the fraction was reduced, the result was 7 13 . What was the original fraction?
Answers
Answer:
1449/2691
Step-by-step explanation:
We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.
First, let's multiply both by 200:
7 * 200 = 1400
13 * 200 = 2600
1400 + 2600 = 4000
It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:
7 * 205 = 1435
13 * 205 = 2665
1435 + 2665 = 4100
We get even closer, only 40 missing, let's try 207 below:
7 * 205 = 1449
13 * 205 = 2691
1449 + 2691 = 4140
We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691
can someone please help??
Answers
Answer:
2/6 = 1/3
Step-by-step explanation:
There are 6 blocks, 2 of which are circled
2/6 = 1/3
Thank me later
The lifespan of a 60-watt lightbulb produced by a company is normally distributed with a mean of 1450 hours and a standard deviation of 8.5 hours. if a 60-watt light bulb produced by this company is selected at random, what is the probability that its lifespan will be less than 1465 hours
Answers
You haven’t given enough information for me to answer this completely.
But I would assume the answer is 100% or 99%.
Beth records the height of a plant for 8 weeks and creates a scatter plot of the data. What is the equation of the line of best fit? What will the plant’s height be in 20 weeks?
A: the equation is y=2x+5, and the height is 40 inches
B: the equation is y= -2x+5 and the height is 35 inches
C: y=2x and the height is 40 inches
D: y=2x and the height is 35 inches
Answers
Answer:
A: the equation is y=2x+5, and the height is 40 inches
Find the shaded part of diagram show step
Answers
Answer:
81
Step-by-step explanation:
So first find the are of the rectangle: 9 * 15 = 135
Next find the area of the trapezoid.
[tex]\frac{8+10}{2} *6=54[/tex]
135 - 54 = 81