Answer:
Step-by-step explanation:
∠2= ∠4 { alternate interior angles}
∠2= 65
∠1 + ∠2 = 180 {linear pair}
∠1 + 65 = 180
∠1 = 180- 65
∠1 = 115
Answer:
Exterior.
Step-by-step explanation:
A triangle has three sides. According to the theorem of exterior angles, the sum of two opposite interior angles is equal to the exterior angle of the triangle.
The sum of angle of triangle is equal to 180 degrees.
ATQ,
The measure of an <u>exterior</u> angle of a triangle is equal to the sum of the measures of its remote interior angles.
Answer:
is the required polynomial function of the form 
Step-by-step explanation:
The given zeroes of the polynomial is -5 and 4i.
It implies, the roots of the polynomial is (x+5) and (x-4i)
Now, The Polynomial = Product of all its roots
So, here P(x) = ( x + 5)( x - 4i)
or, 
⇒
Hence, P(x) is the required polynomial function of the form
Decimal: It’s easier to work with the numbers You can add, subtract, multiply and divide in your head (for the most part) instead of having to find common denominators and things like that.
Fraction: You can put repeating values in fraction form to represent them in a simpler way, as opposed to having to put the line over the repeating digits if it were in decimal form.
Power: Powers are just condensed forms of repeated multiplication, so they save space/time and you can use certain properties with some powers that allow you to multiply and divide them instantly.
Scientific notation: This is good when you’re dealing with numbers that have a lot of digits/place value. That can become confusing, so scientific notation is a way we can represent these numbers clearly and more condensed (takes less space/time).
Answer:
8
Step-by-step explanation:
Use the pythagorean theorem. The hypotenuse (c) is 10, and one of the sides, let's say (b), is 6. Therefore, we need to solve for a and plug and chug. Let's do that:
Now let's plug in what we know:
Therefore, a = x = 8
