Answer:
All the expressions other than option E, is equivalent to the expression 18m - 12.
Step-by-step explanation:
A. 6m - 4 + 6m -4 + 6m - 4
or 6m+6m+6m -4 -4 -4
or 18m -12
B. 12m + 6 - 6m -6
or 12m - 6m + 6 - 6
or 6m
C.6(3m - 2)
or 18m - 12
D.3(6m - 4)
or 18m - 12
E. 24n - 4² + 8 -6m
This option can not satisfy the given expression as it contains another variable as n.
If your scale factor has absolute value greater than 1, the dilation is an enlargement.
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage. </span>
The answer to this question would be yes, they are parameter.
Parameter is a data that can show the tendency of the sample. The example would be mean, mode, median. The parameter can be used to show how much similarity or differences between two sample.
Answer:
33%
Step-by-step explanation:
In 2003, there were 78.9 thousand jobs in the industry and it increases annually by 2.65 thousand jobs from 2003 to 2013.
Hence, from 2003 to 2013, i.e. 10 years the jobs have increased by (2.65×10) = 26.5 thousand.
Therefore, the percent increase in jobs in the industry from 2003 to 2013 is given by
% ≈ 33%. (Answer)
Answer:
48 cm
Step-by-step explanation:
Given:
Distance of rod from the wall = 45 cm
Distance of rod from the light = 15 cm
Length of rod = 12 cm
We can see that <DAM and <BAF are equal
Also, <DMA and <BFM are equal because they are corresponding angles
To find the length of the shadow, let's take the equation

Where.:
DM = ½ of length of the rod = ½*12 = 6
A.F = 15 + 45 = 60 cm
AM = 15 cm
Therefore,


Cross multiplying, we have:
15 * B.F = 60 * 6
15 * B.F = 360

BF = 24 cm
The shadow on the wall =
2 * BF
= 2 * 24
= 48 cm
The shadow on the wall is 48 cm