Answer:
160°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...
x + (x +4) + 20x = 180
22x +4 = 180 . . . . . . . . . . collect terms
22x = 176 . . . . . . . . . . subtract 4
x = 8 . . . . . . . . . . . divide by 22
20x = 160 . . . . find the largest angle
The measure of the largest angle is 160°.
Answer:
89.0°
Step-by-step explanation:
The segment from the centre of the circle to the chord is a perpendicular bisector, hence
third side of right triangle = 12.7 ÷ 2 = 6.35
The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre
The triangle from the centre to C is congruent to the triangle from the centre to D
Calculate the angle (Θ ) in the right triangle using the sine ratio
sinΘ = 
= 
Θ = 
( ) ≈ 44.5°
Hence
measure of CD = 2 × Θ = 2 × 44.5 = 89.0°
Answer:
24/35
Step-by-step explanation:
1) Convert your mixed number (1 and 1/7) to an improper fraction by multiplying your whole number (1) and your denominator (7) which gives you 7. Then add your numerator (1) to that which gets you 8. Then take the original denominator (7) and turn it into improper where your new numerator is 8 and your denominator stays 7. (If that doesn't make much sense then you can look up how to change mixed numbers into improper fractions.)
2) Multiply your numbers straight across.
8/7 * 3/5
8*3= 24
7*5= 35
24/35 you can't simplify this, so 24/35 is your answer
Answer:
Step-by-step explanation:
I should know, I've done this.
