Answer:
21
Step-by-step explanation:
Since this is a parallelogram, the given angle measure must have equal measure because they are opposite angles:
2x - 4 = x + 17 transfer like terms to the same side of the equation
2x - x = 17 + 4 (notice the terms changes sign when transferring to the other side of the equation)
x = 21 is the answer we are looking for
Answer:
1. Not similar
2. Similar, ABC is similar to FED by SSS
Step-by-step explanation:
1. Not similar.
The interior angles of a triangle always have to add up to 180, and since the first triangle has angles 30 degrees and 90 degrees, you know the third angle will have to be 180 - 30 - 90 = 60 degrees.
The second triangle's third angle will have to be 50 degrees because 180 - 90 - 40 = 50 degrees.
Since the three angles of the triangle are not the same, they are not similar.
2. Similar, ABC is similar to FED by the SSS triangle similarity postulate.
First, AB is similar to FE because AB = 15 and FE = 5, so the scale factor is 3
Next, BC is similar to ED because BC = 9 and ED = 3, so the scale factor for these sides is also 3
Lastly, CA is similar to DF because CA = 12 and DF = 4, so the scal factor for this is also 3.
Since the scale factor for all of the sides is 3, these two triangles are similar.
The answer is 1.
Use the slope formula to solve.
m=
Substitute the corresponding values into the equation.
m=
m=
m=1
