First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.
m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
<em>Answer: 50°</em>
Answer:
c=3
Step-by-step explanation:
8=-5(-1)^2-10(-1)+c
8=5+c
c=3
3rd one I think tho it may not be accurate
Answer:
and .
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Now, we will substitute in equation (1).
Therefore, the point is solution for our given equation.
4 bracelets/17 minutes = x bracelets/34 minutes
cross multiply: 4 · 34 = 17 · x
Divide both sides by 17: (4 · 34)/17 = x
x = 8
Answer: 8 bracelets