Let the second angle be x.
Second angle = x
First angle = 3x - 6
The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
4x = 186
x = 186 ÷ 4 = 46.5°
Second angle = 46.5°
First angle = 3(46.5) - 6 = 133.5°
Answer: The angles are 46.5° and 133.5°
Check the picture below
make sure your calculator is in Degree mode, we're assuming is 34°.
Answer:
The scale factor is 1/3
Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor
Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3
From the above, we can confirm that:
k = 1/3
Hope this helps :)
Answer:
7.) 16.7
Step-by-step explanation:
7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle
Using the pythagrorem theorem a² + b² = c²
4² + b² = 5²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² =√9
b = 3
next you do the same thing to find the missing segment of the longest side
3² + b² = 13²
b² = 169 - 9
b² = 160
b = √160 or ≈ 12.7
12.7 + 4 = 16.7
so 16.7 is the length of that side
