Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
Answer:8(2g+1)(4g2-2g+1)
Step-by-step explanation:
Answer:
45 mugs
Step-by-step explanation:
she already has sold 116 mugs and 50% would be 161 soooo 161-116=45 more mugs
Answer:
(4, 0).
Step-by-step explanation:
y = 8x - 32
There are many solutions that we can choose from, since any set of coordinates that fit in the equation counts as a solution.
We can have (0, -32), (1, -24), (2, -16), (3, -8), (4, 0), and many more.
Hope this helps!
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
