A rectangle is a quadrilateral that has two sets of parallel sides. Each side of the rectangle forms a 90 degrees with the other side. If diagonals are drawn, the lines will divide the angle into two having an angle 90 degrees. Therefore, 90 degrees is the answer hope its help you
Answer:
Step-by-step explanation:
If m∠A + m∠B = m∠B + m∠C, subtract m∠B from both sides [ subtraction property of equality ].
We get that m∠A = m∠C and by the symmetric property of equality, m∠C = m∠A
6x² + 24x - 72
Divide all the terms by the greatest common of factor of 6. Makes factoring easier. We will need to put this 6 on at the end so keep it in mind.
(6x² + 24x - 72) / 6 = x² + 4x - 12
Your simplified equation is x² + 4x - 12
Now to factor we must find out what two factors of - 12 can be added together to equal 4. The factors are 6 and -2:
x² - 2x + 6x - 12
Now we must group and factor.
(x² - 2x) + (6x - 12)
We can pull an x out of the first binomial because both terms have that in common:
x(x - 2) + (6x - 12)
We can pull a 6 out of the second binomial for the same reason:
x(x - 2) + 6(x - 2)
The terms inside the parentheses match each other, this means (x- 2) is one of the factors of the original trinomial. The other comes from the terms on the outside x and + 6. Put them together, (x + 6)
So your factors are (x - 2)(x + 6); this isn't it though. We need the 6 from the top, the one we divided out to make factoring easier. We will put it on the outside of whichever factor you list first so that your final answer reflects that to get back to the original trinomial, you would have to multiply the whole thing by 6.
Your final answer is:
6(x - 2)(x +6)
Answer:
Please check the explanation.
Step-by-step explanation:
Given
ABC ↔ RQP
It means
Please check the attached diagram.
Here,
Parts of ΔABC that correspond to
(i) PQ
From the diagram, it is clear that:
PQ corresponds to CB
(ii) ∠Q
∠Q corresponds to ∠B
(iii) RP
RP corresponds to AC
2/5+1/2^2
2/5+2/4
multiply the first fraction by four and the second fraction by five to get the common denominator of 20
8/20+10/20=18/20
reduce
9/10
hope I helped !
