AB= 3x+4 + 5x-6 = 8x-2
the others are just what they are given as
Answer: D
Step-by-step explanation:
The key to finding the line perpendicular to the one given is teh slope. The slope is the opposite reciprocal of the original line.
m=3
perpendicular m=-1/3
Now that we know the slope, we can see which of our answer choices have -1/3 as the slope. We can see D is the only option that has -1/3 for slope.
Answer:
Step-by-step explanation:
Set ratios and solve for x
<u>Corresponding sides are AC with A'C' and CB with C'B'</u>
- AC/A'C' = CB/C'B'
- (x - 1)/2 = (x + 4)/3
- 3(x - 1) = 2(x + 4)
- 3x - 3 = 2x + 8
- 3x - 2x = 8 + 3
- x = 11
<u>Find the values of AC and CB:</u>
- AC = x - 1 = 11 - 1 = 10 cm
- CB = x + 4 = 11 + 4 = 15 cm
Answer:
∠VXW = 57°
∠XVW = 56°
Step-by-step explanation:
Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.
Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.
Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°
Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.
Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;
67° + 57° = 124°
180° - 124° = 56°
And that is your answer!
∠VXW = 57°
∠XVW = 56°
