Answer: 6
Step-by-step explanation:
6x6x6 =216
Answer:
Explanation: L = longer piece S = shorter piece
L + S = 22
L = 4 + S
S + S + 4 = 22
-4 -4
S + S = 18
S = 18/2 = 9 cm
L = 4 + S —> 4 + 9 = 13 cm
To confirm:
13 cm + 9 cm = 22 cm
Therefore, the shorter piece is 9 cm.
Answer:
Third option is correct. Scale factor 3 ; enlargement.
Step-by-step explanation:
It is given that the figure A'B'C'D' is a dilation of figure ABCD.
We know that after dilation the corresponding sides of image and preimage are in the same proportion.
The image of AD is A'D'.
From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).
Distance formula is
Scale factor is constant which represents the relation between image and preimage.
Therefore the scale factor is 3.
If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.
Answer:
a= 180-60-55=65
we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.
b=180-90-65=25
the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.
c=25
c is 25, because two angles on both sides of a X is the same
Answer:
(a). $35746. (b). Higher.
Step-by-step explanation:
(a). Given that the least-squares regression equation is y = 7163x + 14242. Also, in the question above we are given that y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region, that is to say that the value of x = 30.
Therefore, y = 7163x + 14242.
y = (7163 × 30) + 14242.
y = $35746.
(b). The condition for our x is; 28.7 percent of adults 25 years and older have at least a bachelor's degree.
Then, y = (7163 × 28.7) + 14242.
y = $34814.
Hence, we have the median income in this region = $38,163 HIGHER than $34814.
