In addition to the information given in the drawing, which statement would be sufficient to prove
that STW-XYZ?
Number 5
Answers
Answer:
[tex]SW= 15[/tex] and [tex]TW= 24[/tex]
Step-by-step explanation:
Given
See attachment for the triangles
Required
Which additional statement proves the similarity of both triangles
From the attachment:
[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]
The similar sides of both triangles are: ST and XY
So:
[tex]Ratio = ST : XY[/tex]
[tex]Ratio = 27 : 9[/tex]
Divide by 9
[tex]Ratio = 3 : 1[/tex]
Another similar sides are: TW and YZ
So:
[tex]TW : YZ = TW : 8[/tex]
Equate both ratios:
[tex]TW : 8 = 3 : 1[/tex]
Represent as fraction
[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]
[tex]\frac{TW }{ 8 }= 3[/tex]
Multiply both sides by 8
[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]
[tex]TW= 3*8[/tex]
[tex]TW= 24[/tex]
Another similar sides are: SW and XZ
So:
[tex]SW:XZ = SW:5[/tex]
Equate both ratios:
[tex]SW:5 = 3:1[/tex]
Represent as fraction
[tex]\frac{SW}{5} = \frac{3}{1}[/tex]
[tex]\frac{SW}{5} = 3[/tex]
Multiply both sides by 5
[tex]5*\frac{SW}{5} = 3*5[/tex]
[tex]SW = 3*5[/tex]
[tex]SW = 15[/tex]
So, the statement that proves the similarity of the triangles is:
[tex]SW= 15[/tex] and [tex]TW= 24[/tex]
Related Questions
Multiply (x-1)(x^3+4x^2+4x-1) and combine like terms. Show your work.
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A floor shaped like a square has a perimeter of 100 feet.what is the area of the floor in square feet?
Answers
Answer:
625
Step-by-step explanation:
Square has four sides. 100/4=25
Area=L×W
25×25=625 square feet
Which expression represents "9 more than x"?
A. x−9
B. 9⋅x9
C. 9−x
D. x+9
Answers
Answer:
C. 9 - x
Step-by-step explanation:
We are given a sentence expression : 9 more than x.
Let's go over all the expressions and what they say as a setnence.
A. x - 9
This would be x more than 9, since the original number of x is way higher than 9. Making this answer incorrect.
B. 9 * x^9? (I am assuming)
This would be 9 times x, not even the correct property.
C. 9 - x
This would be 9 more than x, though you could say it's addition, the value of 9 is more than x, hence making it subtraction.
D. x + 9
This would be 9 plus x, no number has an official value than another.
5
A line passes through the point (4, -3) and has a slope of
4
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = 4x -19
Step-by-step explanation:
y = 4x + b
first we add the point to the equation and then we solve for b
-3 = 4 ( 4 ) + b
-3 = 16 + b
-16
-19 = b
Find the value of the variable. A
610
790
Answers
Answer: Allie made a 240- mile trip in just 4 hours.
Step-by-step explanation:
Find the value of x.
Answers
Answer:
I think the answer is x=120
Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025
Answers
Answer:
A
Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum
Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18
Answers
Answer:
D
Step-by-step explanation:
We want to find:
[tex](x^2+2x-3)(4x^2-5x+6)[/tex]
Distribute:
[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]
Distribute:
[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]
Rearrange:
[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]
Combine like terms:
[tex]=4x^4+3x^3-16x^2+27x-18[/tex]
The answer is D.
What is the equation of the exponential curve that passes through the points (0,3) and (5,96)?
Answers
Answer:
M=93/5
Step-by-step explanation:
Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each, she had 28 apples left.
Write an equation that represents the story.
Answers
Answer:
Step-by-step explanation:
4(a-1) = 28
a = 8 apples per bag
A restaurant bought 5 pounds of salmon for $42.50. How much would 7 pounds of salmon cost? *
Answers
Answer:
59.5
Step-by-step explanation:
42.50/5=8.5
1 lb=8.5
7lb=7*8.5=59.5
When chords intersect in a circle, the vertical angles formed intercept congruent arcs.
Answers
Answer:
sometimes
Step-by-step explanation:
if those are the options you have then that's the correct answer
What is the y intercept for y=6x+7/2
Answers
y = mx + b
M is 6
B is 7/2
Plz help me :) dropdowns
1) vailid/ not valid
2) unbiased/biased
3)appropriate/ inappropriate
Answers
Answer:
1
Step-by-step explanation:
Whats the correct answer and show me how u got it and Ill give u the brainlest please help
The annual state budget for Texas is 108.0 billion with a population of 29.00 million residents. Round all scientific answers with two decimals with no spaces.
Example: 1.23x10^4 or 1.23E4
Write the Budget in scientific notation. 1 point Budget:
Write the population in scientific notation. 1 point Population:
Round to a whole number for the next part:
Calculate the Budget Per Capita and write your answer in standard notation. 2 points
On your paper only: Use the budget per capita in a meaningful sentence.
Answers
someone help what the answer
Solve the following proportion: x 65 thousand
---- =. ------------
10 million. 40 million
Express your answer as a value written in standard form.
Answers
Answer:
2600000000000000000000000000000000000
Step-by-step explanation:
65 thousand times 40 million times 10 million
Answer:
great question
Step-by-step explanation:
Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?
Answers
Answer:
56.548667764616276
Step-by-step explanation:
Multiply the diameter by pi.
C= 18 x 3.14159265
Hope this helps!
The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM
Answers
Answer:
The side on triangle PQR that corresponds to side LN in triangle MNL is side QR.
Step-by-step explanation:
Triangle PQR is a dilated version of triangle LMN, specifically a dilation of 2, since LN = 12, the corresponding side to it on triangle PQR is side QR because it is twice as big as side LN, which is the dilation value for converting triangle LMN to triangle PQR.
The side of triangle PQR corresponds to side LN in triangle MNL will be QR.
What are similar triangles?Similar triangle are those which have two pairs of interior corresponding angles are equal or two pairs of corresponding sides are in proportion.
We have,
Two triangles as shown in the given figure,
Now,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{LM}{PR} =\frac{MN}{PQ} =\frac{LN}{QR}[/tex]
So,
Put values of sides ,
[tex]\frac{14}{28} =\frac{10}{20} =\frac{12}{24}[/tex]
i.e.
[tex]\frac{1}{2} =\frac{1}{2} =\frac{1}{2}[/tex]
So,
All sides in proportion according to the question,
Now,
The side which is in proportion to side LN is QR.
Hence, we can say that the side of triangle PQR corresponds to side LN in triangle MNL will be QR.
To know more about similar triangle click here
https://brainly.com/question/12460919
#SPJ2
After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?
Answers
Answer:
329 вот правильный ответ
Write the product (x-7)^2 in standard form
Answers
Answer:
x^2-14x+49
formula:
a^2-2ab+b^2
if
(a-b)^2
substitute values and
Wham bam yes ma'm
Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot
Answers
Answer:
The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.
To find:
The volume of the rectangular prism.
Solution:
Let the length, breadth and height are 21 in, 20 in and 19 in respectively.
Volume of the rectangular prism is
[tex]V=Length\times Breadth\times Height[/tex]
[tex]V=21\times 20\times 19[/tex]
[tex]V=7980[/tex]
Therefore, the volume of the rectangular prism is 7980 cubic inches.
HELP WILLING TO CASHAPP if answered quick and correctly + 100 points The points plotted below on the graph of a polynomial which of the following X values is the best approximation of a root of the polynomial? Check all that apply
X=-0.21
X=-4.6
X=-2.3
X=3
X=1
X=-3.5
Answers
first 1
4th one
i think sorry if its wrong
Answer:
Step-by-step explanation:
Did you ever find out the answer????
Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.
Answers
Answer:
Step-by-step explanation:
Your answer
Old price = 13$
New price = 12.48$
DISCOUNT price = 0.52$
Discount rate = 0.52/13 * 100= 4%
Mark it as Brainlist answer. Follow me.
What is the solution to a system with parallel lines?
Answers
Step-by-step explanation:
no solution because they never intercept
The blue dot is at what value on the number line?
Answers
Answer: 4 since it’s going down by 4.
Linda Pearl purchased a new computer for $3,500 using the stores installment credit plan. if he is required to make a 30% down payment and finances the remaining amount what is the total amount that he will finance
Answers
Answer:
$2450 is the remaining amount
Step-by-step explanation:
i divided 3500 into 10th because its usually easier to do when you are working with percents, then so every 10 is $350. so he put down $1050 or the 30% because 350x3 is 1050 then you subtract 1050 from 3500 which then you get 2450.
Answer:
2450
Step-by-step explanation:
70% of 2450
Michael and Imani go out to eat for lunch.
Part A: If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Part B: If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?
Answers
Answer:
Step-by-step explanation:
part=A
So, we must find out what the total bill cost is such that we begin by multiplying the price with the tax such that $25.30(0.08) = $2.024.
Then we add the tax to the price such that
$25.30+2.024 = $27.32
In the case of adding an 18% tip,
So continuing on from the above post, $27.32 is the total after taxes. Then we add an 18% tip which is
$27.32 (.18) = $4.92..........Then, we add it to the $27.32 to get
$27.32 + $4.92 = $32.24 in total!
What is the value of y?
3
4
5
6
Answers
Answer:
Step-by-step explanation:
2y+4=10
we will subtract 4 from both sides
2y=10-4
2y=6
y=3
Answer:
3is your answer
2y+4=10
2y=10-4
y=6/2=3
enter a negative number that is greater than -10.
btw this is iready
Answers
Answer:
5 6 7 8 9 10 All the positive number are grater than -10 but if it askes for negative you would you -5 -6 -7 -8 -9
Step-by-step explanation:
With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Conversely a number is less than another when it is to the left on the number line.
Step-by-step explanation:
equations with variables on both sides that makes the answer x=9
Answers
Answer:
x = 12
Step-by-step explanation:
Answer:
2x=18
Step-by-step explanation:
