First change the mixed numbers into improper fractions by multiplying the denominator and the whole number and add the product to the numerator in the mixed numbers and then multiply<span> the numerators and the denominators and divide the numerator by the denominator of the product.</span>
Given:

To find:
The value of x.
Solution:
We have,

The corresponding parts of similar triangles are proportional.

On substituting the values, we get




Subtract
from both sides.




Therefore, the value of x is 3 units.
Answer:
Linear, Corresponding, and Vertical
Step-by-step explanation:
5 and 8 would have the same degree. So would 1 and 4, and 2 and 3, and 6 and 7 (lot's of "and's" because it's lots of the same degrees...)
Answer:
y - 5 = -8/7(x + 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula: 
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 5)
Point (2, -3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:

- Subtract/Add:

<u>Step 3: Write Equation</u>
<em>Plug in variables into the general form.</em>
y - 5 = -8/7(x + 3)
y + 3 = -8/7(x - 2)
Answer:
0.2210
Step-by-step explanation:
If p = 0.04
then 1-p = 1 - 0.04 = 0.96
So we have the probability distribution value
as;
n C r * p^r * (1-p)^(n-r)
Thus;
64 C 3 * p^3 * (1-p)^(64-3)
= 64 C3 * 0.04^3 * 0.96^61
where 64 C 3 is 64 combination 3
= 41,664 * 0.04^3 * 0.96^61
= 0.2210