Answer:
ABCD and EFGH
ABCD and PQRS (or EFGH and PQRS)
Dilate by a scale factor of 3
Step-by-step explanation:
Congruent means they have the same shape and size.
Similar means they have the same shape, but not necessarily the same size.
The orientation (rotation angle) or position do not matter.
EFGH is reflected and rotated, so it maintains the same shape and size as ABCD. Therefore, they are congruent.
PQRS is scaled and translated, so it has the same shape, but different size than ABCD. Therefore, they are similar but not congruent.
Also, PQRS is similar to EFGH, but not congruent.
To make EFGH congruent to PQRS, we need to make it the same size. So we need to scale EFGH by a factor of 3.
Answer:
562.5ml
Step-by-step explanation:
using percentage multipliers you just have to do:
add 0.25 to 1 because that will make 125%
then multiply it by 450ml
450ml x 1.25 = 562.5ml
Say that xyz is your number, then y=4z and x+3=y
Since it is a multiple of 4, y has to be 4 or 8, which means z has to be 1 or 2, since it is 1/4 of y and then since x is 3 less than y, x would have to be 1 or 5...so the numbers are....141 or 582
3x/4 - x/3
To simplify this, we need to first find a common denominator, or the Greatest Common Factor (GCF) of the two denominators (4 and 3). The GCF of 3 and 4 is 12.
Now, we have to multiply the numerator AND denominator of each individual term by the same factor such that the denominator equals 12.
So for the first term, 3x/4, we know that 12/4 = 3, therefore we need to multiply the fraction by 3/3, which is equivalent to 1.
3x/4 * 3/3 = 9x/12
Now, let's do the same for the other term x/3. We know that 12/3 = 4, therefore we need to multiply the fraction by 4/4, which is equivalent to 1.
x/3 * 4/4 = 4x/12
Now, lets substitute these equivalent fractions back into the original expression.
3x/4 - x/3 = 9x/12 - 4x/12 = 5x/12
Thus, your answer is #4, or 5x/12
The expression we get after measuring prq is 5610x²+ 891x+33.
Given that,
p is 33, r is 17x+1 and q is 10x+1
We have to find the measure of prq.
Take the,
p is 33, r is 17x+1 and q is 10x+1
Now,
prq
By multiply we get an expression
Multiplying each term to each other.
(33)(17x+1) (10x+1)
1st multiply 33 to 17x+1
(561x+33) (10x+1)
Now multiply each 561x with 10x+1 and 33 with 10x+1
5610x²+ 561x+ 330x+33
Adding 561x and 330x
5610x²+ 891x+33
Therefore, The expression we get after measuring prq is 5610x²+ 891x+33.
To learn more about expression visit: brainly.com/question/14083225
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