Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Is there any numbers to answer the question?
We can do this easily using 0s.
(x - i) (x + i) (x + 4) (x - 1) = 0
If you plug in any of the numbers, you'll get 0, making the equation true.
Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
