First u gotta estimate what the answer u think it is. Then u turn the 2 into an 8 by multiplying both the numerator (which is 1) and denominator (which is 2) by 4 to make it 8. U then get the answer 5 4/8 and u then subtract the 5 4/8 with the 5/8 to get the answer. This was only for the first one tho!!!
Marc has 1/6 meter of green fabric
Marc has 1/2 meter more of green fabric than of yellow
He has 1/3 meter of yellow fabric
The number of green fabric he has can be calculated as follows
1/2 × 1/3
= 1/6
Hence Marc has 1/6 meters of green fabric
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Answer:
(3 , 2.5)
Step-by-step explanation:
.5x + y = 4
y = .5x+1
.5x + (.5x + 1) = 4
x + 1 = 4
x = 3
y = .5(3)+1
y = 1.5 + 1
y = 2.5
Answer:
∠MLP = 72° , ∠LJK = 22° , ∠JKL = 72° , ∠KLJ = 86°
Step-by-step explanation:
Here, given In ΔJLK and ΔMLP
Here, JK II ML, LM = MP
∠JLM = 22° and ∠LMP = 36°
Now, As angles opposite to equal sides are equal.
⇒ ∠MLP = ∠MPL = x°
Now, in ΔMLP
By <u>ANGLE SUM PROPERTY</u>: ∠MLP + ∠MPL + ∠LMP = 180°
⇒ x° + x° + 36° = 180°
⇒ 2 x = 180 - 36 = 144
or, x = 72°
⇒ ∠MLP = ∠MPL = 72°
Now,as JK II ML
⇒ ∠LJK = ∠JLM = 22° ( Alternate pair of angles)
Now, by the measure of straight angle:
∠MLP + ∠JLM + ∠JLK = 180° ( Straight angle)
⇒ 72° + 22° + ∠JLK = 180°
or, ∠JLK = 86°
In , in ΔJLK
By <u>ANGLE SUM PROPERTY</u>: ∠JKL + ∠JLK + ∠LJK = 180°
⇒ ∠JKL + 86° + 22° = 180°
⇒ ∠JKL = 180 - 108 = 72 , or ∠JKL = 72°
Hence, from above proof , ∠MLP = 72° , ∠LJK = 22° , ∠JKL = 72° ,
∠KLJ = 86°
X=2
You have to first distribute the two and then you have to move the variable to one side of the equation and the number to the other. The work is attached below
