Answer:
x = 35, y = 18
Step-by-step explanation:
Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.
If NM = 16, and KJ = 40. 40/16 is the ratio from ∆<u>NM</u>L to ∆<u>JK</u>L. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.
Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.
Dividing by a number is the same as multiplying by the reciprocal of that number.
40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.
16/40 can be reduced to 2/5 or 0.4 as a decimal.
Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.
Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.
Therefore x = 14 × 5/2 = 70/2 = 35.
y = 45 × 2/5 = 90/5 = 18.
The 2nd option because once you distribute the "2" you're left with 2+4x, and when try moving the "x's" to the same side they cancel out. and 3 is NOT less than or equal to 2
The 1 is in the:
hundred thousands place
millionth place
and ten millionth place
hope this helps
You have to find the common denominator which is 45. 4x9=36 5x9=45 which means 36 over 45. Then 8x5=40 9x5=45 which means 40 over 45. Add the numerators: 36+40= 76. So the answer is 76/45 and the decimal form is 1.68