Answers
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.
Related Questions
Simplify
4x - 3(2 + x) +6y
Answers
Answer:
x + 6y - 6
Step-by-step explanation:
Answer:
x+6y-6
Step-by-step explanation:
Jose found 14 shells in the beach. He lost the same amount as he has left. Write the doubles addition fact Jose can use to find the number of shells Jose has left.
Answers
Answer:
7
Step-by-step explanation:
Number of shells found = 14
Number of shells lost equals number of shells left :
Let Number of shells lost = x
Using the relation:
Number of shells lost = Number of shells left
x =number of shells found - number of shells lost
x = 14 - x
x + x = 14
2x = 14
x = 14 / 2
x = 7
Number of shells left = 14 - x = 14 - 7 = 7
Which table represents a nonlinear function?
Answers
Answer: c
Step-by-step explanation:
The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?
Answers
6 - 4 / -1 - 2
2 / - 3
m = -2/3 x (slope)
An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?
Answers
Answer:
15 feet
Step-by-step explanation:
This is calculated using the formula
Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column
From the question
Height of observation tower = 60 ft
Shadow of observation tower = 32 ft
Height of Marble column = ? x
Shadow of marble column = 8 ft
Hence:
60ft/32ft = x/8ft
Cross Multiply
60ft × 8 ft = 32ft × x
x = 60 ft × 8 ft/32 ft
x = 15 ft
Therefore, the marble column is 15 feet tall
Could someone help me with this I’m kinda stressed out ill give out brainliest please don’t answer if you don’t know thank you
Answers
Total = 82.37 + 8.237 = 90.607
find the total surface area of the triangular prism
Answers
Answer:
[tex]1,008\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:
Area of both triangles:
[tex]2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}[/tex]
Area of all three rectangles:
[tex]15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}[/tex]
Therefore, the total surface area of this figure is:
[tex]840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark[/tex]
The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answers
Answer:
Its Going to be -4
Step-by-step explanation:
V/7=5
Solve for v
(I need help right now)
Answers
Answer:
V=35
Step-by-step explanation:
[tex]\frac{V}{7} =5[/tex]
Start by multiplying by 7 on both sides:
V=35
Answer:
35
Step-by-step explanation:
5 times 7 is 35 so v divided by 7 is 5
PLEASE PLEASE HELP ME
Answers
Answer:
length = 3√5
distance = √13
Step-by-step explanation:
length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]
length = √ 3²+6²
=√9+36
=√45=3√5
distance
d = √(x1-x2)²+(y1-y2)²
d= √(5-3)² + (-2-1)²
d=√2²+(-3)²
d=√4+9
d=√13
You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?
Answers
Answer: $500
Step-by-step explanation:
You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:
= 766.45 - 32.45
= A$734
1 USD gives A$1.468
The USD you will need is:
= 734/1.468
= $500
Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region?
Answers
Answer:
1250 people
Step-by-step explanation:
Population density = total population / land area
Population density = 50
total population = x
land area 25
50 = x / 25
x = total population = 50 x 25 = 1250 people
1 I am thinking of a 6-digit number. • The sum of the digits is 38. • The number is under 600 000. What could my number be? Find twelve different possibilities.
Answers
Answer:
A 6 digit number can be written as:
abcdef
Where each letter represents a single digit.
We know that this number is smaller than 600,000, and we also know that:
a + b + c + d + e + f = 38
Now, we have a lot of variables, so we can play a little.
I will suppose that:
f = 6
e = 7
d = 3
c = 9
then we have:
a + b + 9 + 3 + 7 + 6 = 38
a´+ b + 25 = 38
a + b = 38 - 25 = 13
now let's suppose that b = 8
a + 8 = 13
a = 13 - 8 = 5
Then our number is:
589,376
This number is smaller than 600,000, and if we add the sum of the digits is 38.
Now we want to find 11 other numbers like this.
We can simply change the places of some of the digits, like:
598,376 (also meets the condition)
Where i just changed the positions of the 9 and the 8.
589,367 (also meets te condition)
Where i just changed the position of the 6 and 7.
Now just keep doing that, only take care that the number can not be larger than 600,000, so i will leave the first 5 fixed in that position.
589,673 (also meets the condition)
598,736 (also meets the conditions)
536,798 (also meets the conditions)
536,897 (also meets the conditions)
536,978 (also meets the conditions)
563,798 (also meets the conditions)
563,987 (also meets the conditions)
563,879 (also meets the conditions)
573,689 (also meets the conditions)
573,869 (also meets the conditions)
What is the measure of an exterior angle of a regular 13-gon?
Answers
Step-by-step explanation:
Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.
Hence we have 360°/13 = 27.7° (1d.p.)
The measure of an exterior angle of a regular 13-gon is 27.69°.
What is a regular 13-gon?A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.
The given polygon is a regular 13-gon.
Therefore, all the exterior angles of this polygon are equal.
We know, each exterior angle of a regular polygon with 'n' sides is
= (360 / n)°
Here, n = 13.
Therefore, the value of each exterior angle
= (360 / 13)°
= 27.69°
Learn more about a polygon here:
https://brainly.com/question/13879119
#SPJ2
3x-5y=22 2x+y=6
may you explain how you got the answer
Answers
Answer:x=4 y=-2
Step-by-step explanation:
3x-5y=22
3x+1.5y=9
-6.5y=13
6.5y=-13
0.5y=-1
Y=-2
Replace/substitute
2x-2=6
2x=8
X=4
2x+y=6---------(2)
y=6-2x---------(3)
putting value of y on equation
3x-5y=22
3x-5(6-2x)=22
3x-30+10x=22
13x=22+30
13x=52
x=52/13
x=4
putting value of x on equation (3)
y=6-2x
y=6-2.4
y=6-8
y=-2
PleSe please help powaseee
Answers
All triangles = 180°
So 120+26=146
180-146=34
Therefore all angles are the same for each triangle.
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes. On Saturday she uses 1 1/2 times as much pancake mix as Friday. What fraction of teh box of pancake mix does Merinda use on Saturday
Answers
Answer:
3/8 of the box
Step-by-step explanation:
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.
On Saturday she uses 1 1/2 times as much pancake mix as Friday.
On Friday = 1/4 of the box
On Saturday = 1 1/2 × pancake mix as Friday
[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]
Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.
please help me!!!!!
Answers
Answer:
AB
Step-by-step explanation:
Increasing by 5/1
Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?
Answers
Answer: $125 rounded or $125.3 not rounded
Step-by-step explanation:
I will give brainliest to the person who solves this
For each graph shown below, select the correct description for slope and y-intercept. In the fourth column, create an equation that can be used to describe the function shown in the graph.
Answers
Answer: i dont know
Step-by-step explanation:
Answer:
1.
Slope: Positive
Y-intercept: Positive
y=2x+2
2.
Slope: Positive
Y-intercept: Zero
y=4x
3.
Slope: Positive
Y-intercept: Negative
y=1/2x-5
4.
Slope: Negative
Y-intercept: Positive
y=-1/2x+2
The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?
Answers
Answer: 3 shirts
Step-by-step explanation:
so they are 20 a piece
5+45=50
they need to raise $50
1= 20
2=40
3=60
Answer:
Step-by-step explanation:
Can someone please help me on this
Answers
9514 1404 393
Answer:
y = -5x³
Step-by-step explanation:
The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.
We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...
y = -5x³
If each letter represents a different nonzero digit,what must Y be?
A. 7
B. 6
C. 9
D. 8
Answers
Answer:
D
Step-by-step explanation:
With only 4 options, I substituted the possible numbers for Y. When substituting Y for 8, the right hand column wrote:
8 - Z = 4
Another way to think of this is 8 - 4 = 4.
When using 8, Z must equal 4.
Take this information to the left hand column.
8 - Z = Z
We know Z equals 4 so plug this information in. Is it correct?
8 - 4 = 4
This is correct.
Therefore, the answer is 8, or D.
13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS
Answers
Answer:
9) 30 years
10) line passing through points AB and BC are perpendicular
Step-by-step explanation:
9) p = 5t + 150
Current pop. (in thousands) is 150
Double pop. (in thousands) is 300
300 = 5t + 150
150 = 5t
t = 30
10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal
slope of AB = 3
slope of BC = -1/3
Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?
Answers
Mia and holly can clean their room in 20 minutes, working together. Working alone, mia can clean the room in 30. How long would it take holly to clean alone?
Answers
Answer: Holly would take 60 minutes to clean alone.
Step-by-step explanation:
Let t = Time taken by Holly to clean alone.
Given: Time taken by Mia to clean alone = 30 minutes
Time taken by Mia and holly to clean their room = 20 minutes
Then,
[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]
Hence, Holly would take 60 minutes to clean alone.
Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account each week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.
Answers
Answer:
Option 1:
He starts with $10, and for each week, we add $100
Then his balance as a function of weeks will be:
f(w) = $10 + $100*w
option 2.
Again, we start with $10, and for each week that passes this is doubled, then the equation will be:
g(w) = $10*(2)^w
Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.
option 1:
f(7) = $10 + $100*7 = $710
With option 1 he will have enough
option 2:
g(7) = $10*(2)^7 = $1280
Again, he will have more than $700 in week 7, and we can clearly see that this option is better.
Mark goes to buy some food for his friends.He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.Write the eniquality to decribe the possible number of chocolate pies and apple pies that mark can buy
Answers
Answer:
The inequality is given as:
5x + 4y ≤ 50
Step-by-step explanation:
Let the number of
Chocolate pies = x
Apple pies = y
He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.
Hence:
$5 × x + $4 × y ≤ $50
The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:
5x + 4y ≤ 50
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)
Answers
Answer:
x>2
Step-by-step explanation:
0<7x-14
-7x<-14
x>2
hope that's right
Answer:
x > 2
Step-by-step explanation:
-x < -x+7(x-2)
0 < 7(x-2)
0 < x-2
x > 2
(edited)
Find the range of this equation
Answers
Answer:
b number
Step-by-step explanation:
Because range is the number of the y component
Hope this helps
Have a great day/night