Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
If x=2, the line is just a straight, vertical line intersecting the x-axis at 2.
Answer:
$9.50 = .25x
Step-by-step explanation:
38 quarters
the total no of population=1650
13:17 first add the two numbers 13+17=30
then 13/30×y =715 , i make 13 at the numerator because it's males ratio
after that 30/13×13/30y =715 ×30/13
y =715×30/13
y =1650
after u find the total no it's simple to find the no of females
17/30×1650=935
Answer:
1) find d or distance between numbers
2) equation: an=a1+(n-1)d
3) an is nth term
a1 is first number in sequence