Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = 
= 5
Hence the value of X = 5 unit Answer
Answer:
Option C is correct
P(A or B) = 0.65
Step-by-step explanation:
<u>Given:
</u>
P(A) =0.5
P(B)=0.30
P(A and B) =0.15
( The probability of the happening of both independent events will be there product) P( A and B ) =P(A).P(B)
<u>Solution:</u>
To find the probability of the Happening of event A either event B we will use the following formula
P(A or B) = P(A) + P(B)-P(A and B)
= 0.5 + 0.3 - 0.15
=0.65
Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 1 = 3 - 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 6x + 1 = 3
- Subtract 1 on both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(1/3) + 1 = 3 - 2(1/3)
- Multiply: 4/3 + 1 = 3 - 2/3
- Add/Subtract: 7/3 = 7/3
Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
Answer:
273.75 days
Step-by-step explanation:
The flag pole flying the Ohio state flag would be 27 feet tall. you just take 30, divide it by 10 and then multiply it by 9.
