Answer:
Option (1)
Step-by-step explanation:
From the triangles given in the picture,
Since, JK ≅ KL [Given]
JM ≅ ML [Given]
KM ≅ KM [Reflexive property of congruence]
ΔJMK ≅ ΔLMK [SSS property of congruence]
Therefore, ∠JKM ≅ ∠LKM [CPCTC]
(2x + 5) = (3x - 6)
3x - 2x = 5 + 6
x = 11
m∠JKL = m∠JKM + m∠LKM
= (2x + 5) + (3x - 6)
= 5x - 1
= 5(11) - 1
= 54
Option (1) will be the answer.
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
Answer:
Do you mean to round the number 653,500,653,500,653,500? Or do you mean to round the number 653,500? If so, for 653,500, the digit in the thousand's place is 5, so it's already rounded to the nearest thousands place.
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
6x + 2y = 28 ( subtract 6x from both sides )
2y = - 6x + 28 ( divide the terms by 2 )
y = - 3x + 14 ← in slope- intercept form
Answer:
they are vertical angles
Step-by-step explanation:
just learned about this
