Answer:
m∠QTR = 98°
Step-by-step explanation:
From the picture attached,
Radii of the circle are TQ and TR measuring equal lengths.
Therefore, ΔTQR is a isosceles triangle.
Opposite angles of the equal sides will be equal in measure.
m∠RQT = m∠TRQ = 41°
By angle sum theorem,
m∠RQT + m∠TRQ + m∠QTR = 180°
41° + 41° + m∠QTR = 180°
m∠QTR = 180° - 82°
= 98°
Therefore, m∠QTR = 98°
2(4z-3-21)=166-46
Combine like terms
2(4z-24)= 120
Distribute
8z-48= 120
Add 48 to both sides
8z= 168
Divide both sides by 8
z=21
Final answer: z=21
Answer:
Can u attach an image...........
Answer:
The answer is below
Step-by-step explanation:
Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)
1 quintal = 220.462 lbs and 1 bushel of corn = 56 lbs.
151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha
But 1 hectare = 2.471 acre, hence:
33289.762 lbs/ha = 
Since 1 bushel of corn = 56 lbs, hence:
= 240.6 bu/ac
For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)
To solve this using probability simply count the shapes that have at least 4 sides, and represent it as a fraction among all shapes in the spinner.
P(4 sides) = 5/6.
P(tails) = 1/2.
Both are independent events and as such must be multiplied with each other.
5/6 • 1/2 = 5/12,
This is the combined probability of both events occurring.