Let's x represents the first odd integer
The next consecutive integer would be represented as x+2.
So x and x+2 being multiplied together will give us 1443:
(x)(x+2)=1443
x^2+2x=1443
x^2+2x-1443=0
By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.
Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.
With that said you 1st pair will be: 37,39
Your second pair will be: -37,-39.
Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
<h3>What is a Rectangle?</h3>
- A rectangle is a quadrilateral.
- All four angles in a rectangle are right angles.
- The opposite sides of a rectangle are parallel and congruent to each other.
Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.
Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.
In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
Learn more about properties of rectangle on:
brainly.com/question/2835318
The equation has three factors and equals zero
One of the factors must be zero.
Either 3x = 0 which means x = 0
or x - 4 = 0 which means x = 4
or 3x + 5 = 0 which means 3x = -5 so x = -5/3
The answer is C
E cannot be correct in this question as you are asked to “solve” and not just pick a correct option
Answer:
d. 15.3%
Step-by-step explanation:
There are a total of 4 + 10 + 7 + 5 = 26 marbles
P(pick a red) = 4/26 = 2/13 = .153 = 15.3%
Answer:
Step-by-step explanation:
the greatest common factor of 8,44,12 is 4
