Answer:
∠1=∠9=43°, ∠2=∠7= 17°, ∠4=∠5=∠6=60°, ∠3=∠8=120°
Step-by-step explanation:
Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°
Answer:
V ≈ 4021 mm³
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 8 mm
<em>h</em> = 20 mm
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = π(8 mm)²(20 mm)
- Evaluate exponents: V = π(64 mm²)(20 mm)
- Multiply: V = 1280π mm³
- Round: V ≈ 4021 mm³
Answer:
x+Y =x68 i thinkStep-by-step explanation:
Answer:
0 = 0
1 = 4
2 = 8
Step-by-step explanation:
So you multiply x by 4 to get y. Your first column is x. So you multiply those numbers by 4 to get y.
Answer:
0.5625
Step-by-step explanation:
You do the parenthasis first and get 18 and then you divide 18/32 and get 0.5625
