Answer:
125 pages
Step-by-step explanation:
we can use a proportion
3/5=75/x
multiply cross so 75×5 and 3×X
375=3x
÷3. ÷3
x=125
check
75/125=simplified is 3/5
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=
=26.40 which rounded to the nearest tenth =26
Answer:
Step-by-step explanation:
-10+sqrt2x+1 = -5
sqrt2x+1 = -5+10
sqrt2x+1 = 5
2x+1 = sqrt5
2x = sqrt5-1
x = (sqrt5-1)/2
Read the problem and answer choices. You want to get from ABCD to EFGH, so you need to figure out how to do that with reflection, translation, and dilation—in that order.
The reflection part is fairly easy. ABC is a bottom-to-top order, and EFG is a top-to-bottom order, so the reflection is one that changes top to bottom. It must be reflection across a horizontal line. The only horizontal line offered in the answer choices is the x-axis. Selection B is indicated right away.
The dimensions of EFGH are 3 times those of ABCD, so the dilation scale factor is 3. This means that prior to dilation, the point H (for example), now at (-12, -3) would have been at (-4, -1), a factor of 3 closer to the origin. H corresponds to D in the original figure, which would be located at (0, -2) after reflection across the x-axis.
So, the translation from (0, -2) to (-4, -1) is 4 units left (0 to -4) and 1 unit up (-2 to -1).
The appropriate choice and fill-in would be ...
... <em>B. Reflection across the x-axis, translation </em><em>4</em><em> units left and </em><em>1</em><em> unit up, dilation with center (0, 0) and scale factor </em><em>3</em><em>.</em>
_____
You can check to see that these transformations also map the other points appropriately. They do.
Answer:
w = 99
Step-by-step explanation:
45 = w - 54
99 = w
<em>good luck, i hope this helps :)</em>
