Answer:
C. AB/XY = AC/XZ
Step-by-step explanation:
Dilation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.
In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.
So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:
AB/XY = AC/XZ = BC/YZ = 5
Answer:
A) {x < −2
{y ≤ −x − 2
Step-by-step explanation:
The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the <em>rate</em><em> </em><em>of </em><em>changes</em><em> </em>[<em>slopes</em>] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:
Dashed Line → >, <
Solid Line → ≥, ≤
is the vertical line with a <em>less</em><em> </em><em>than</em><em> </em>sign, so it gets the <em>dashed</em><em> </em><em>line</em>,<em> </em>whereas the other line has a <em>less</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal to</em><em> </em>sign, so this line gets the solid line.
I am joyous to assist you anytime.
Hello!
As we are looking for the opposite side and hypotenuse, we will use the sine.
sin30=1/2
This gives us the equation below.
1/2= 5/x
1/2x=5
x=10
Therefore, x=10.
I hope this helps!
Answer:
point C (-1, -3)
Step-by-step explanation:
The line you are looking for already has two givens: m = 2 and it has coordinate (2,3) on it. You can plug these in to find the equation of the line and then see which of the 4 points it must pass through.
3 = 2(2) + b
-1 = b
the line you are looking for is y = 2x - 1
First, you can rule out points D and B, because after a quick look, you can see that a line with a slope of 2 wouldn't come close to the point (2,3). Now you can choose between C (-1, -3) and A (-2, -3).
Now you can plug in the points C and A into the equation of the line that was obtained in the first part of this answer.
checking point A: -3 = 2(-2) - 1
-3= -5
not true, so now we check point C
checking point C: -3 = 2(-1) - 1
-3 = -2 - 1
-3 = -3
true, so the point must be C
