Assuming you are given a picture of intersecting lines.
Switch the reasons for b) and c)
b) the angles form a linear pair , from the picture, so this is linear pair postulate
C) Then the measures add to 180, because they are supplementary. Defn of supplementary.
E) you have divided both sides of the equation by 2; or multiplied by 1/2; multiplication property of equality
F) definition of right angle
G) definition of perpendicular
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
Answer:
3x³ + x² + x + 1
= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6
= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6
= (x - 1)(3x² + 4x + 5) + 6
but 3x³ + x² + x + 1 = (x - 1).Q(x) + R
=> Q(x) = 3x² + 4x + 5
R = 6
i think its 25 because of the Pythagorean theorem. 4^2 + 3^2= 16 + 9 =25
When you find the square root of 25 its 5
Answer:
$54.6
Step-by-step explanation:
Amount borrowed = $560
Interest paid in the 12-month period = 6.5% of 560 =$36.4
The amount of interest Trudy pays in 18 months is worked out as
Monthly interest = $36.4/12
Interest payable in 18 months
= ($36.4/12) x 18
= $54.6
Explanation:
For a theorem that says "if A then B", the converse is "if B then A."
__
The hing.e theorem has numerous parts to the hypothesis. Its converse retains many of those conditions, swapping only the relation between the included angle and the third side.
<u>theorem</u>: if two sides of one triangle are congruent to two sides of another, then the longest third side will be opposite the largest included angle.
<u>converse</u>: if two sides of one triangle are congruent to two sides of another, then the largest included angle will be opposite the longest third side.
Instead of relating the third side to the angle measure, the converse relates the angle measure to the third side.