Answer:
x = infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
8(2x + 5) = 16x + 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 8: 16x + 40 = 16x + 40
- Subtract 40 on both sides: 16x = 16x
- Divide 16 on both sides: x = x
Here we see that <em>x</em> does indeed equal <em>x</em>.
∴ <em>x</em> has an infinite amount of solutions.
Answer:
m∠FEH = 44°
m∠EHG = 64°
Step-by-step explanation:
1) The given information are;
The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°
Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°
Therefore, angle subtended by arc ∠HGF at the center = 88°
The angle subtended by arc ∠HGF at the circumference = m∠FEH
∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)
m∠FEH = 44°
2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°
The sum of angles in a quadrilateral = 360°
Therefore;
m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)
m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°
m∠EHG = 64°.
Answer:
Step-by-step explanation:
60 · 60 · 60
60³ = 180
Diameter - 8
3 sides, diameter 8 = answer.
Answer:
Area of a square
Step-by-step explanation:
the second one
7.5 mph in 3 hours the train can travel 22.5 miles. Take 2.5 and times it by 3 to get the mph, then multiply that answer by 3 again to get the total miles in 3 hours
