1. DC is tangent to circle O at C. If ∠ABC = 59 degrees, ∠BAC = 60 degrees, and ∠BCA = 61 degrees, then what is the measure of ∠ACD?
2. In acute triangle ABC, AB = 3 and BC = 5. Find the number of possible integer values of CA.
3. One interior angle of a rhombus is 150 degrees. The area of the rhombus is 50 square meters. What is the perimeter of the rhombus in meters?
+591 1. 180-(90-60+90)=angle ACD=$\boxed{60}$
2.
inequalities that limit our answers:
3+5>CA
3+CA>5
5+CA>3
largest possibility for CA:7
smallest possibility for CA:3
total possibilities for CA: $\boxed{5}$
3.
l/2$\cdot$l=50
l^2=100
l=10
10$\cdot$4=$\boxed{40}$
+128460 3. One interior angle of a rhombus is 150 degrees. The area of the rhombus is 50 square meters. What is the perimeter of the rhombus in meters?
1/2 of the area = 25 m^2
We can solve this to find a side length, S
(1/2) S^2 sin (150) = 25 multiply both sides by 2
S^2 * (1/2) = 50 mult through by 2 again
S^2 =100
S = 10
The perimieter is 4 * 10 = 40 m
+591 1. 180-(90-60+90)=angle ACD=$\boxed{60}$
2.
inequalities that limit our answers:
3+5>CA
3+CA>5
5+CA>3
largest possibility for CA:7
smallest possibility for CA:3
total possibilities for CA: $\boxed{5}$
3.
l/2$\cdot$l=50
l^2=100
l=10
10$\cdot$4=$\boxed{40}$
