Answer is D
After dilation the image remain same but it is stretched or shrinked to the original size.
That means the ratio of the sides and the angles between the sides remain same .
Here we did dilation of ABCD which made it to EFGH.
Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.
the corresponding sides are : AB and EF
BC and FG
CD and GH
DA and HE
* Let us find ratio of the sides AB and BC
given that AB= 10 and BC= 14
AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )
* the raio of the corresponding sides EF and FG should be same ( 5/7)
in the option D EF= 25 and FG= 35
so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )
Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD
Answer:
7846
Step-by-step explanation:
two 'minus' signs cancel each other out and become an 'plus' sign
therefore
7512-(-334) = 7512 + 334
= 7846
I don't know why you wrote ' write your answer as a 'mixed number ' in 'simplest form'. A mixed number can only be formed when you have a fraction, an improper fraction no less, the answer is a whole number, and therefore cannot be written as a mixed number in simplest form. If I am wrong pls let me know and elaborate by what you mean by 'mixed number' in the comments.
I believe it may be a trick question, but who knows.
Examples of fractions expressed as a mixed number.
19/8 = 2 3/8
17/5 = 3 2/5
Answer:
x = 6, y = 9
Step-by-step explanation:
One of the properties of a parallelogram is
The diagonals bisect each other, hence
2x = y + 3 → (1)
2y = 3x → (2)
Rearrange (1) in terms of y by subtracting 3 from both sides
y = 2x - 3 → (3)
Substitute y = 2x - 3 into (2)
2(2x - 3) = 3x ← distribute left side
4x - 6 = 3x ( add 6 to both sides )
4x = 3x + 6 ( subtract 3x from both sides )
x = 6
Substitute x = 6 into (3) for value of y
y = (2 × 6) - 3 = 12 - 3 = 9
Hence x = 6 and y = 9
This answer is most likely wrong, but this is what I had gotten.
Using the formula BxH divided by 2, I came up with an answer of 108.
