In a triangle all of the angles always add up to 180, so let's set up an equation.
79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64
The value of y is 64.
Hopefully this helps! If you have any more questions or don't understand, please comment or DM me, and I'll get back to you ASAP. :)
Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
9. 2/6 and in simplified form it’s 1/3
10. 10/4 simplified is 5/2
11. 8/2 simplified is 4/1
12. 7/7 which is 1
13. Has no slope
14. 4/7
