Answer:
1) Angle AOC + Angle COB = Angle AOB
Angle AOC = X
Angle COB = Y
putting in equation, we get
X + Y = AOB
2) Angle X + Y = AOB (proved above)
AOB = 90° ( given)
Angle X + Angle y = 90°
Angle X is the complement of Y
Answer:
h = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2/3(6h - 9) = 6
<u>Step 2: Solve for </u><em><u>h</u></em>
- [Division Property of Equality] Divide 2/3 on both sides: 6h - 9 = 9
- [Addition Property of Equality] Add 9 on both sides: 6h = 18
- [Division Property of Equality] Divide 6 on both sides: h = 3
It's either 15, 17 or 18. Anything higher would make angle AC much longer than seen in the image.
Answer:
y = - 
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 =
( multiply both sides by - 4 )
- 28 = k
y =
← equation of variation
When x = 5 , then
y =
= - 
C=2πr
C=πd
A=πr^2
r=C/2π
r=1/2 d
<u>By the way all you do to solve r is: </u>
C=2πr
C/2π=2πr/2π
C/2π=r
r=C/2π
Hope this helps:)