Answer:
C. Moved all terms from left to right that doesn't contain y
Y=-6 +1/3x-3
Simplify
Y=1/3x-9
Step-by-step explanation:
Answer:
m∠1 = 60°
m∠2 = m∠4 = 39°
m∠3 = m∠5 = 21°
Step-by-step explanation:
ΔWXY is a equilateral angle,
Therefore, all angles of the the triangle are equal in measure.
m∠W + m∠X + m∠Y = 180°
3m∠W = 180°
m∠W = 60°
Since, ΔWZY is an isosceles triangle,
m∠3 = m∠5
m∠3 + m∠Z + m∠5 = 180°
m∠3 + 138° + m∠3 = 180°
2m∠3 = 180 - 138
m∠3 = 21°
Therefore, m∠3 = m∠5 = 21°
Since, m∠2 + m∠3 = 60°
m∠2 = 60 - 21
= 39°
Since, m∠4 + m∠5 = 60°
m∠4 = 60 - 21
= 39°
m∠1 = 60°
Step-by-step explanation:
A It must be an equilateral triangle with the same side lengths as the original triangle
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
