Answer:
QR = 5.
Step-by-step explanation:
Because the parallelograms are similar then the corresponding sides are in the same ratio.
So AB / PQ = BC / QR
9/3 = 15 / QR
15 / QR = 3
QR = 15/3
= 5. (answer)
The required range of the data is 24mm
The range of data is the difference between the largest value and the least value in a set of data.
Since we are not given the range of data. Let's assume we gave the following data:
34mm, 30mm, 20mm, 44mm, 31mm
From the data
Highest measurement = 44mm
Least measurement = 20mm
Find the range
Range = Highest measurement - Least measurement
Range = 44mm - 20mm
Range = 24mm
Hence the required range of data is 24mm
<em>NB: The concept can be applied to any set of data given for other measurements in (b) and (c)</em>
<em>Learn more here: brainly.com/question/1786006</em>
let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.
next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.
77 is a multiple of 11, as i'm sure you know--the double numbers like 22 and 55, one of the factors are always 11.
77 is factored down into 11 and 7--which, when you add those, luckily equal 18.
(x + 11)(x + 7) is your factorization.
Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
