Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
Answer:
15
Step-by-step explanation:
If you divide 32 by 2 you will get 16, therefore if you take the number before 16 and the number after 16 and add them together they will still equal 32. 15 + 17 = 32. The smaller number is 15.
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
45
Step-by-step explanation:
Answer:
Step-by-step explanation:
I can't get to act correctly either.
The answer is 1 day and 7 items.
Ariana
y = 5x + 2
Julie
y = 7x
The ys have to be the same so equate the right hand side.
7x = 5x + 2 Subtract 5x from both sides.
7x - 5x = 5x - 5x + 2
2x = 2 Divide by 2
2x/2 = 2/2
x = 1
1 day
7 items
