Answer:
George's mistake would be:
Instead of 2x + 40, she has made - x + 20.
Step-by-step explanation:
Slope - Intercept Form = y = mx + b
y + 20 = 2(x +20)
y + 20 = 2x + 40
- 20 - 20
----------------------
y = 2x + 20
(Should have been the answer)
BUT,
George's Solving:
y + 20 = 2(x + 20)
y + 20 = -x + 20
George's Mistake would be her miscalculation during her 2nd step. Where instead of distributing 2 to (x + 20), she has changed it to -x + 20, when in reality, it should have been 2x + 40.
THEOREM:
• <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
x² = 4² + 8²
x² = 16 + 64
x² = 80
x = √80 units.
So, <u>Correct choice</u> - [A] √80 units.
Answer:

Step-by-step explanation:
In the question, we're given
. Therefore, the measure of these two angles must be equal.
To find the value of
, set these two angles equal to each other:

Add 26 and subtract
from both sides:

Divide both sides by 3:

Since
was labelled as
, substitute
to find its measure:

You can also substitute
into the label of angle D as angle A is congruent to angle D for easier calculations (
).
<h3>hello!</h3>
=====================================================
Parallel lines have the same slope.
So if the given line has a slope of 3, then the line parallel to it has the same slope (3)
Now, let's write the equation of the line in Point-Slope Form.
Remember, point-slope form looks like so:-

Where
y₁ is the y-coordinate of the point that the line passes through
m is the slope
x₁ is the x-coordinate of the point that the line passes through
In this case,
y₁ is equal to -8
m is equal to 3
x₁ is equal to 1
Plug in the values:

Simplify:

and we're done!
=========================================================
<h3>note:-</h3>
Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)