What is y-2=-2(x-3) In slope intercept form

2 Answers:

Choice B) angle R and angle U
Choice D) angle K and angle L

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Explanation:

There are a lot of lines here, so it's easy to get a bit lost if you're not careful. I recommend starting with a blank piece of paper. On it, draw two lines that intersect any way you want. An "X" shape forms. The angles that are opposite one another (eg: top and bottom angles) are known as vertical angles, and they are always congruent.

Going back to your diagram, angle R and angle U fit the description of vertical angles. We used two lines to form these vertical angles. Despite the name, the angles do not have to be aligned vertically. Unfortunately it's a misnomer in my opinion. Angle R is opposite angle U, and both are formed by the two slanted lines that go in both directions. It might help to copy the diagram your teacher has given to you, and then erase the portions that seem extra (eg: erase the ray that helps form angle S, and also erase angle S as well) and it might help show why angle R is a vertical angle pair with angle U.

Similarly, angle K and angle L fit the description as well, so this is the second pair of vertical angles.

Something like "angle E and angle N" is not an answer because we used 3 lines to help form these angles, instead of two only. We can rule out "angle S and angle J" for similar reasons.

As for when you see vertical angles in everyday life, it depends on what the context is. For example, if you're drawing out a floorplan, then knowing the angles may be very handy. You could use a protractor to measure the angles, or you could use geometric properties such as the vertical angle theorem to quickly determine the angle values (if you know some angles already).

7 0

3 years ago

50pts*Need Help Asap no rocky....Why is there more than one solution the quadratic equation x^2=9??

frozen [14]

There is more than one solution because there are two different numbers whose square is 9. One of them is +3. The other is -3.

The fundamental theorem of algebra says every non-zero single-variable polynomial of degree N has exactly N roots, counting multiplicity. Your polynomial is degree 2, so has 2 roots.

4 0

4 years ago

I could use any help as soon as possible in need this due tomorrow for exams

EastWind [94]

The answer woukd be 23

6 0

3 years ago

Read 2 more answers

I just can't figure it out!!<br> How do I figure out Kevin's height?

rosijanka [135]

Answer:

use a ruler

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Quadrilateral with E(-2,-7),F(4,-3),G(0,1),and H(-4,-2);scale factor 0.5

Ulleksa [173]

Answer:

New scale will be

E(-1, -3.5), F(2, -1.5), G(0, 0.5), H(-2, -1). This is one-half the original scale

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"Given the Quadrilateral with vertices E(-2,-7),F(4,-3),G(0,1),and H(-4,-2), find the coordinates of the image after a dilation having a scale factor of 0.5."

Dilation factor is the same as scale of 1/2 i.e 1:2. Scale of 1:2 means that the quadrilateral has been reduced by one-half. We need to know the new vertices of the quadrilateral after being reduced by one-half.

Given the original axis before dilation

E (x1, y1) = E(-2, -7)

F (x2, y2) = F(4, -3)

G (x3, y3) = G(0, 1)

H (x4, y4) = H(-4, -2)

After dilation by scale factor of 0.5, the axis will result into one half of its original scale as shown:

E (0.5x1, 0.5y1) = E(-2/2, -7/2)

F (0.5x2, 0.5y2) = F(4/2, -3/2)

G (0.5x3, 0.5y3) = G(0/2, 1/2)

H (0.5x4, 0.5y4) = H(-4/2, -2/2)

New scale will be:

E(-1, -3.5), F(2, -1.5), G(0, 0.5), H(-2, -1)

Check the attachment for diagram.

4 0

3 years ago