Answer:
Yes they are equivalent.
Step-by-step explanation:
since 16 times 3/4 is 12 and a times b is ab. Put those together and you get 12ab. Since 3/4 of 24 is 18 and the variable is a, it is 18a. Hope this helped.
The greatest common factor of both numbers is 6 so you would take out that 6 since both of those numbers can be multiplied by it. So, your answer would be 6(5x+1) and if you multiply that 6 back in, you will go back to the original equation.
Answer:
" (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
OA = OD ( both radii of the circle )
OD = OB + BD = x + 16
OB is at right angles to OB ( line from centre to midpoint of chord is right )
Using Pythagoras' identity in right triangle ABO
OA² = OB² + AB² , that is
(x + 16)² = x² + 24²
x² + 32x + 256 = x² + 576 ( subtract x² from both sides )
32x + 256 = 576 ( subtract 256 from both sides )
32x = 320 ( divide both sides by 32 )
x = 10
First you must find the scale.
Divide 4 by 0.8.
You get 5.
Divide 7 by 1.4.
That also gives you 5.
This means the scale drawing is 5 times smaller than the real dimensions.
On the scale drawing, the kitchen is 2.4 by 2.8 inches.
All you have to do is multiply both of these by 5 and change it to feet.
2.4 x 5 = 12
2.8 x 5 = 14
So the dimensions of the kitchen are 12 feet by 14 feet.
