Answer:
1/6 chance
Step-by-step explanation:
a six sided die has 6 numbers, there is an equal chance that any of them can be rolled. 3 is one of those numbers. B=1/6 chance
Y<3x+1 but there is a line under the less than sign
Answer:
The length of DC in meters is
⇒ A
Step-by-step explanation:
In the circle O
∵ AB passing through O
∴ AB is a diameter
∵ D is on the circle
∴ ∠ADB is an inscribed angle subtended by arc AB
∵ Arc AB is half the circle
→ That means its measure is 180°
∴ m∠ADB =
× 180° = 90°
In ΔADB
∵ m∠ADB = 90°
∵ AD = 5 m
∵ BD = 12 m
→ By using Pythagorase Theorem
∵ (AB)² = (AD)² + (DB)²
∴ (AB)² = (5)² + (12)²
∴ (AB)² = 25 + 144 = 169
→ Take square root for both sides
∴ AB = 13 m
∵ ∠ADB is a right angle
∵ DC ⊥ AB
∴ DC × AB = AD × DB
→ Substitute the lengths of AB, AD, and DB
∵ DC × 13 = 5 × 12
∴ 13 DC = 60
→ Divide both sides by 13
∴ DC =
m
∴ The length of DC in meters is
Solve for y:
5 t = 9 y + 22
5 t = 9 y + 22 is equivalent to 9 y + 22 = 5 t:
9 y + 22 = 5 t
Subtract 22 from both sides:
9 y = 5 t - 22
Divide both sides by 9:
Answer: y = (5 t)/9 - 22/9
If the 2 base angles are congruent then the two opposite sides are congruent