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
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1
Answers
Answer:
y = 3
Explanation:
Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.
We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.
We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.
Answer:
w
Step-by-step explanation:
w
Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?
Answers
Answer:180
Step-by-step explanation:
Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles
what are the coordinates of this point?
giving brainliest answer to first person to answer
Answers
Answer:
Q) (-2, 2)
V) (2, 2)
Step-by-step explanation:
Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expression with exponents to show how many students sit in the third row? How many total students are seated?
Please help, I don't understand this. You get 65 points!
Answers
Answer:
15
Step-by-step explanation:
Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.
15.
Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water
Answers
The circumference of a tire is 96 inches. Determine the radius of the tire. Use 3 for π. *
Answers
Answer:
Circumference = 2*pi*radius. Pi = 3. 2 * 3 = 6. Find r: 96/6 = 16.
Step-by-step explanation:
i think it is this 16
Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Answers
Answer:
Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Step-by-step explanation:
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?
Answer:
The integer is a positive 4 for golf. Under par should be negative 4.
Step-by-step explanation:
1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT
Answers
Answer:
OMG
Step-by-step explanation:
qt zihmir yt
Answer:
thanks for the points I maybe check your yt.
Step-by-step explanation:
2 diminished by 7 times a number
Answers
The answer is 2-7x I'm 100% sure
Refer to the diagram shown.
Answers
Answer:
60º
Step-by-step explanation:
HELLO URGENT PLS HELP ME WITH THIS
Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.
1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.
2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.
Answers
Answer:
try subtracting 1000,000-40000. I may be wrong
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
Answers
A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
Answers
Answer:
a. 76 b. 190
Step-by-step explanation:
a. Number of white lights
Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.
So, 3/2 = 114/x
cross-multiplying,
3x = 114 × 2
3x = 228
x = 228/3
x = 76
b. Total number of lights
So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190
CAN SOMEONE PLEASE HELP ME???!!!
Answers
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Question 2
5x + 2y = 4
9x + 2y = 12
Answers
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
Simplify the following rational expression.
Answers
Answer:
I did Mental Math and Got 6!
5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.
Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?
Answers
Answer:
4.69ft³
Step-by-step explanation:
1.5×2.5×1.25=4.69
What is the value of x?
Answers
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2
x = 2
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answers
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN
Answers
Answer:
10) 51°
11) 152
Step-by-step explanation:
10) 42 + 9 = 51
11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152
Answer:
1. it dropped by 51°F
im not too sure abt number 2
Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant
Answers
Answer:
The indifference point is 360 miles.
Step-by-step explanation:
Giving the following information:
Rental 1:
Total cost= 185 + 0.25*x
x= miles driven
Rental 2:
Total cost= $275
Now, we need to equal both formulas and isolate x:
185 + 0.25x = 275
0.25x = 90
x= 90/0.25
x= 360
The indifference point is 360 miles.
Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)
Answers
Answer:627.072
Step-by-step explanation:
solve the inequality -2z-3<5. what is the value of z?
Answers
Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
The answer is z > -4
but a line down were is the (>)
I ready!
holpe it help
a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?
Answers
Answer:
The answer is 1/36
Step-by-step explanation:
The probability that it will land on 1 at any time is 1/6
So for the first time we have 1/6
For the second time, we have 1/6
For the both times, we have
1/6 * 1/6 = 1/36
Solve for y.
3/11=6/y
Answers
[tex]y = 22[/tex]
EXPLANATIONMultiply both sides by y × 11
[tex]3y = 6 \times 11[/tex]
Solve a solution to y
[tex]y = 22[/tex]
HopeItHelps you
I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!
Answers
Answer:
Is this a test
Step-by-step explanation:
HELP ASAP
1.Which number or symbol is a variable in the following algebraic expression?
5 + 4y x 32
a 5
b 4
c y
d 2
2.Convert the following word phrase to an algebraic expression:
9 less than a number.
a x - 9
b 9 -x
c 9 ÷ x
d x ÷ 9
Answers
Answer: 1.C 2.B
Step-by-step explanation:
what is the formula to calculate velocity?
Answers
Answer:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
here is a picture.
I hope this helps.
Does anyone know how to work this out
Answers
blue cubes = 3x
green cubes = 15x
to make this simpler let's just say x = 1
so 1 yellow cube 3 blue cubes and 15 green cubes
so there are 19 cubes in total
1 of them are yellow
so she has a 1/19 chance of picking a yellow cube
Answer:
1/19
Step-by-step explanation:
y = number of yellow cubes
3y = number of blue cubes
5(3y) = number of green cubes
total number of cubes = 19
P(yellow) = 1/19
pls helppppppppppp
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answers
Answer:
okkk
Step-by-step explanation:
Answer:
I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!
Step-by-step explanation:
