Answer:
The measure of m∠KNY is;
(D) 105°
Step-by-step explanation:
From the diagram, we have;
The given angle at the circumference = The The angle the arcs makes at the center of the circle
From circle, theorem, angle subtended at the center = Twice the angle subtended at the circumference
Therefore;
Angle ∠D and angle ∠Y = 90°/2 = 45°
Angle ∠O and angle ∠K = 60°/2 = 30°
From angle summation theorem, we have;
m∠KNY + ∠K + ∠Y = 180° (The sum of the interion angles in ΔYNK
∴ m∠KNY = 180° - (∠K + ∠Y)
Plugging in the known values of ∠K and ∠Y gives;
m∠KNY = 180° - (30° + 45°) = 105°
m∠KNY = 105°.
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry
</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
<u>Step 2: Solve for x
</u>
- Combine like terms: -15x + 60 = 180
- Isolate x term: -15x = 120
- Isolate x: x = -8
<u>Step 3: Find m∠BDC
</u>
- Define: m∠BDC = (-7x + 12)°
- Substitute in x: m∠BDC = (-7(-8) + 12)°
- Multiply: m∠BDC = (56 + 12)°
- Add: m∠BDC = 68°
Answer:
48
Step-by-step explanation:
first you need to subtract the total number of students 340, by 4:00 because four of them had to travel in cars so they weren't on the bus. since there are seven buses and now 336 students going to travel on buses each buses must be split equally so you need to divide 336 by 7 giving you 48
Answer:
Step-by-step explanation:
To solve an equation for one of its variables do that:
- Underline the variable
- Separate it one side and the other terms on the other side
- Make its coefficient equal to 1
Let us use these steps to solve our question
∵ V = πr²h
→ Underline r²
∴ V = π<u>r²</u>h
→ Take π and h to the other side by dividing both sides by πh
∵ 
∴ 
→ The coefficient of r² is 1, so switch the two sides
∴
