Answer:
D) 140°
Step-by-step explanation:
The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.
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Answer:
Equation is;
q/sin 105 = 15/sin 30
Step-by-step explanation:
We are given;
Angle Q = 105°
Angle S = 30°
s = 15
From sine rule we know that;
a/sin A = b/sin B = c/sin C.
Thus, applying that to this question, we can find side q.
Thus;. q/Sin Q = s/Sin S
Plugging in the relevant values to obtain ;
q/sin 105 = 15/sin 30
Answer:
<h2>3x - 2</h2>
Step-by-step explanation:
<em>The distributive property</em>:
<em>a(b + c) = ab + ac</em>

Answer:
72
Step-by-step explanation:
Use PEMDAS
Parentheses
Exponent
Multiplication and Division (if it contains both, just go from left to right)
Addition and Subtraction (if it contains both, just go from left to right)
8 + (5)(4) − (6 + 10/2) + 55
8 + 20 − (6 + 10/2) + 55
28 − (6 + 10/2) + 55
28 − (6 + 5) + 55
28 − 11 + 55
17 + 55
72
To solve it step by step with PEMDAS:
Solve within the parentheses
6 + 10/2
10/2 = 5
6 + 5 = 11
Multiply/Divide
(5)(4) = 20
Add/Subtract
8 + 20 - 11 + 55 = 72
72
Answer:
1/2 x 4/5
Step-by-step explanation:
Step 1. Multiply the numerators:
1/12 × 4/5 = 4 x 1 = 4
Step 2. Multiply the denominators:
5 x 12 = 60
Step 3. Simplify the fraction:
4/60 = 1/15
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