See the attached figure which represents the explanation of the problem
∵ Δ KJL is a right triangle at ∠J
∴ KL is the hypotenuse = 8√2
∵ ∠ JKL = 30°
∴ The side which faces the angle 30° will be the half of the hypotenuse because sin 30° = JL/KL = 0.5
∴ JL = 0.5 KL = 0.5 * 8√2 = 4√2
Δ JML is a right triangle at ∠M
∴ JL is the hypotenuse = 4√2 ⇒⇒⇒ (proved)
∵ ∠LJM = 45° , ML = x
∴ sin 45° = x/JL
∴ x = JL sin 45° = 4√2 * (1/√2) = 4
The correct answer <span>
The length of side L M is x = 4</span>
Answer:
999-Empty
Step-by-step explanation:
I ain't have anything then and I still don't have anything still, still, still
Bein' me, I rock PnB
These h03s actin' like gossip, TMZ
These drgs acting like
Moshpits squishing me
Oh my, oh me, how they kill me slowly
Lonely, I been gettin' no peace
OD, feel like OD
Low key I been looking for the signs
But all I can find is a sign of the times
Answer: 7 units
Step-by-step explanation:
Just plot the numbers, then count the distance between them
1/6 and 1/2.
Multiply them together you get 1/12.
Answer:
3. y = 1
4. y = 3, x = 12
Step-by-step explanation:
Like the question says, we'll be using substitution, so for the first one, we'll be substituting the value of x into the equation
x = 5
3x- 5y = 10
3 (5) - 5y = 10
15 - 5y = 10
5y = 15 - 10
5y = 5
y = 1
For the next one, it's a similar idea, except the value of x has the variable y in it, which is fine, as there is still only one value in the equation we'll be solving:
x = 4y
x + y = 5
4y + y = 5
5y = 15 (we needed to collect like terms to simplify)
y = 15/5
y = 3
we still have to find x, to this, we substitute the value of y into any of the equations:
x = 4y
x = 4 (3)
x = 12
Hope this helps,
Cate