Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.
Answers
Answer:
TZ = 24
Step-by-step explanation:
Similar Triangles
If two triangles are similar, then:
* All the corresponding side lengths are proportional by the same scale factor
* All the internal angles are congruent.
The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.
The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:
[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]
Cross-multiplying denominators:
4(6 + p) = 5p
24 + 4p = 5p
Solving for p:
p = 24
Then, TZ = 24
Related Questions
whats the opposite intger of 6.72
Answers
Answer:
-6.72 plzz mark me as Brainly
Step-by-step explanation:
(8by the power of 2 - 2) = 2 x 32
Answers
Answer:
Fals
Step-by-step explanation:
Which point is the reflection of point E across the y-axis ? What’s are it’s coordinates?
Answers
Answer:
The reflection of point E across the y-axis is J(-2, 0).
Step-by-step explanation:
PLATO
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.
Answers
Answer:
0.4 or 2/5
Step-by-step explanation:
Dana surveyed 20 students in total and out of those 20 only 8 got an A
so:
[tex]\frac{8}{20}[/tex] now if you simplify it [tex]\frac{4}{10}[/tex] and if you simplify it again:
[tex]\frac{2}{5}[/tex] or 0.4 in decimal
Gretchen computed the geometric mean of two numbers. One of the
numbers was 7 and the geometric mean turned out to be 7 as well. The other number
would be ?
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:
arithmetic, geometric, harmonic.
The other number would be 7.
__
The geometric mean (m) of a and b is ...
m = √(ab)
We have ...
7 = √(7b)
49 = 7b . . . . . square both sides
7 = b . . . . . . . .divide by 7
a = b = m = 7 in this case.
I need help really quick!!!
Will mark branliest if correct.
Answers
Answer:
5 21/30
Step-by-step explanation:
4/30 + 12/30 + 5/30 + 4 + 1
6=xy does this show direct variation Explain your reasoning. ANSWER THIS PLZ
Answers
Answer:
No. It is an inverse variation.
Step-by-step explanation:
6= xy
Making y the subject of formula:
[tex]y = \frac{6}{x} [/tex]
For a direct variation, the equation would be in the form of y=kx, where k is a constant.
However, the equation above is in the form of [tex]y = \frac{k}{x} [/tex].
Thus, 6=xy does not show direct variation.
There are 2 boys for every 3 girls in Sappy Sunshine Childcare center. If there are a total of 171 girls at the center, how many boys are there? (do not include units in your answer, just the number)
Answers
Answer:
114 boys
Step-by-step explanation:
This question can be solved using a rule of three.
For each 2 boys, there are 3 girls on the center. So, how many boys will be there when there are 171 girls?
2 boys - 3 girls
x boys - 171 girls
[tex]3x = 2*171[/tex]
Simplifying both sides by 3
[tex]x = 2*57 = 114[/tex]
There are 114 boys there
Using your knowledge of inverse operations, the inverse operation for the equation 4,560/120 = 38 is ______?
38/120 = 4,560
38 * 120 = 4,560
4,560/38 = 120
4,560 * 38 = 120
Answers
Given:
The equation is
[tex]\dfrac{4560}{120}=38[/tex]
To find:
The inverse operation for the equation using the knowledge of inverse operations.
Solution:
We have,
[tex]\dfrac{4560}{120}=38[/tex]
Here, 4560 is divided by 120. So, in this equation the operation is division.
We know that inverse operation of division is multiplication. So, multiply both sides by 120.
[tex]\dfrac{4560}{120}\times 120=38\times 120[/tex]
[tex]4560=38\times 120[/tex]
It can be written as
[tex]38\times 120=4560[/tex]
The inverse operation for the equation is [tex]38\times 120=4560[/tex].
Therefore, the correct option is B.
Hey ill give brainlist
Answers
Answer:
[tex]2.\:\frac{41}{9}[/tex]
Step-by-step explanation:
Recall that [tex]\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}[/tex].
Therefore, [tex]4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}[/tex].
Answer:
B is correct answer.................
HELP it’s urgent I’m being timed!!
Answers
Answer:
If im not mistaken option C because its decaying gradually
Answer:
umm i guessing c
Step-by-step explanation:
What will be the 50th term in the sequence defined by an=11+5(n-1)
Answers
Answer:
234
Step-by-step explanation:
(BRAINLIEST) and more in the description.
Confession: I suck at math lol......
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answers
Answer:
16
Step-by-step explanation:
the answer is 16 Because 2 gallons is 16
Answer:
16 pts in 2 gallons
Step-by-step explanation:
There a 8 pints in 1 gallon, so in two gallons there would be 16 pts.
I will give brainlist. its math 2 honor
Answers
Answer:
option 2
Step-by-step explanation:
I did this already
Which sentence best contrasts Greg’s father and Lemon Brown, in "The Treasure of Lemon Brown”? Lemon Brown has shown a deep concern for his son, while Greg’s father shows only a nagging concern for Greg. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker. Lemon Brown lives a tragic life, while Greg’s father does not take the risks that can lead to tragedy. Lemon Brown shows regret for his son’s loss, while Greg’s father does not show remorse for his mistreatment of Greg.
Answers
Answer:
the correct answer will be B i took the test and got a 100%
Step-by-step explanation:
B. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker.
I will give brainiest to whoever answers correctly !!
Answers
Answer:
What is the question????
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answers
Answer:
Part A - 17 full weeks
Part B - 8 hours and 30 minutes
Step-by-step explanation:
Key skills needed: Rate of change, Equation Creating & Solving
PART A
1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00
Since he saves the rest, the amount of money he saves each week is
---> $6.00 - $2.00 = $6 - $2 = $4
2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"
Since the game costs $68 we can make the equation
--> [tex]4w = 68[/tex]
4 is the money he saves each week.
w is the number of weeks he saves
68 is the cost of the game
3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]
(68 divided by 4 is equal to 17)
Therefore 17 full weeks is your answer.
Part B
1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.
30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)
2) So if we say the number of hours is "[tex]h[/tex]", the equation we can make is
---> [tex]8h = 68[/tex]
8 is the money he makes per hour
h is the number of hours he mows the lawns
68 is the cost of the game he wants to buy for his friend
3) Divide both sides by 8 and you will get
--> [tex]h = 8.5[/tex]
(68 divided by 8 is 8.5 (8 and a half))
This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.
8.5 hours is the same as 8 hours and 30 minutes, which is the answer.
Hope you understand and have a nice day!! :D
find the value of x in the following parallelogram:
6x-15=5x+10=x+15
Answers
Answer:
x=6
Step-by-step explanation:
If MN is a midsegment of ∆ABC, find the values of x and y.
Answers
Answer:
Step-by-step explanation:h
Answer:
d
Step-by-step explanation:
can some one help me please
Answers
Answer:
With what?
Step-by-step explanation:
The sum of two numbers is 25 one number is five less than the other number find the larger number
Answers
*NOT MY WORK ITS FROM SOMEONE ELSE WHO ASKED THE SAME PROBLEM*
Answer: x=15, y= 10
Step-by-step explanation:
Answer: x=15, y=10
*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.
Step-by-step explanation:
For this problem, we can use system of equations. Let's use x for one number and y for the other.
First Equation:
x+y=25
We get this equation because it states that the sum of the two numbers is 25.
Second Equation:
y=x-5
We get this equation because it says one number (y) is 5 less than the other (x).
Since we have two equations, we can use substitution method to solve.
[distribute 1 to (x-5)]
[combine like terms]
[add both sides by 5]
[divide both sides by 2]
Now that we have x, we can plug it into any of the equations to find y.
[plug in x=15]
[subtract both sides by 15]
Finally, we have our answer, x=15 and y=10.
2x-5= 25
2x=30
X=15
So the larger number is 15 , it’s easy to figure it out but you could get mark for workingnout
Estimate: 24.47 ÷ 12.13
Answers
Answer:
1.9894308943 this is the answwr
Answer:
i'm 99% sure its 2
Step-by-step explanation:
My estimated answer is two. Here’s how I found the answer. First, I rounded to the nearest whole number. When my problem became twenty-four divided by twelve, I realized I could divide that in my head! And I did.
The graphs of x=2(y-4) and x=5(y-4) are shown below.
How does the graph of x=2(y-4) compare with the graph of x=5(y-4)
A. The graph of x=2(y-4) crosses the y-axis lower than the graph of x=5(y-4)
B. The graph of x=2(y-4) has greater slope than the graph of x=5(y-4)
C. The graph of x=5(y-4) has greater slope than the graph of x=2(y-4)
D. The graph of x=2(y-4) crosses the y-axis higher than the graph of x=5(y-4)
Answers
Answer:
B is the correct answer
Step-by-step explanation:
because x=2y-8 is same as y=1/2 x+4 x=5y-20 is the same as y=1/5 x+4 slope of the first is 1/2 slope of the second is 1/5 so 1/2>1/5there y intercept are the same which is 4
The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The equation of the line is
x=2(y-4)
x=5(y-4)
y = (1/2)x +4
y = (1/5)x +4
The slope is (1/2) and (1/5),
(1/2) > (1/5)
To known more about standard equation of a line
https://brainly.com/question/12452575
#SPJ2
Solve: sin(x + pi/2) =1/2 for [3pi/2, 2pi]
Answers
Answer: the answer is 5pi/3 or d on edg
Step-by-step explanation:
did it on edg as my second guess
Answer: 5pi/3
Step-by-step explanation:
Edge:)
Point P is plotted on the coordinate grid. If point S is 12 units to the left of point p,what are the coordinates of point S?
Answers
Answer:
(-6,-4)
Step-by-step explanation:
Trust me
Question 5 (1 point)
Find the area of the shaded region of this regular polygon. (Round to the nearest
hundredth)
Answers
Height of triangle = 4tan(67.5°)
area of triangle = 0.5(base)(height) = 0.5(8)(4tan(67.5°))
Shaded region = 2*0.5(8)(4tan(67.5°)) = 32tan(67.5°) ≅180.71 cm^2
the following figures are similar, find the value of x
Answers
Answer:
x=143
Step-by-step explanation:
scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143
The length of a rectangle is 2 meters less than 3 times the width. The perimeter is 44
meters. Find the width
Answers
Answer:
Width of rectangle = 6 meters
Step-by-step explanation:
Let
Width of rectangle = x
Length of rectangle = 3x-2
Perimeter of rectangle = 44 meters
We need to find:
The Width of rectangle.
The formula used is:
[tex]Perimeter\:of\:rectangle=2(Length\times Width)[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:rectangle=2(Length\times Width)\\44=2(3x-2+x)\\44=2(4x-2)\\44=8x-4\\8x=44+4\\8x=48\\x=\frac{48}{8}\\x=6[/tex]
So, we get the value of x = 6.
We know that Width of rectangle = x = 6
So, Width of rectangle = 6 meters
6=xy does this show direct variation Explain your reasoning. 6=xy does this show direct variation Explain your reasoning. 6=xy does this show direct variation Explain your reasoning.6=xy does this show direct variation Explain your reasoning.
Answers
9514 1404 393
Answer:
no; the variation is inverse
Step-by-step explanation:
Solving for y, the equation becomes ...
y = 6/x
The variation is as the inverse of x. It is not direct variation.
30% of what number is 150? A. 500 B. 50 C. 45 D. 200
Answers
Answer:
500
Step-by-step explanation:
.
Answer:
A. 500
Step-by-step explanation:
We know that it can't be B. or C. since it has to be greater than 150, so (I know this isn't the way to do it) bet is you try multiplying your leftover answers you have by .3 you would see that 200 times .3 is 60, so that isn't it but 500 times .3 is 150!
I hope this helps and you have a great day! :)