15y + 31 = 61
15y = 61 - 31
15y = 30
y = 30 ÷ 15
<u>y = 2</u>
Parallel lines are a pair of lines that do not intersect
Therefore this is not an example of parallel lines because the lines intersect
The answer is C
Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
<u><em>The correct picture of the question in the attached figure</em></u>
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
we have
△HFM∼△PST ----> given problem
step 1
Find the scale factor
Let
z ----> the scale factor
![z=\frac{HF}{PS}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BHF%7D%7BPS%7D)
substitute the given values
![z=\frac{14}{8}=1.75](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B14%7D%7B8%7D%3D1.75)
step 2
Find the perimeter of triangle PST
Remember that the perimeter of a triangle is the sum of its three length sides
![P=8+9+12=29\ units](https://tex.z-dn.net/?f=P%3D8%2B9%2B12%3D29%5C%20units)
step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so
![29(1.75)=50.75\ units](https://tex.z-dn.net/?f=29%281.75%29%3D50.75%5C%20units)
![\huge \boxed{\mathbb{QUESTION} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathbb%7BQUESTION%7D%20%5Cdownarrow%7D)
- Simplify ⇨ 19m + 14 - 3 (3m + 7)
![\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%20%5C%3A%20with%20%5C%3A%20Explanation%7D%20%5Cdownarrow%7D)
![\sf \: 19 m - 14 - 3 ( 3 m + 7 )](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2019%20m%20-%2014%20-%203%20%28%203%20m%20%2B%207%20%29)
Use the distributive property to multiply -3 by 3m+7.
![\sf \: 19m-14-9m-21](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%2019m-14-9m-21%20)
Combine 19m and -9m to get 10m.
![\sf \: 10m-14-21](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%2010m-14-21%20)
Subtract 21 from -14 to get -35.
![\boxed{\boxed{\bf \: 10m-35 }}](https://tex.z-dn.net/?f=%20%20%20%5Cboxed%7B%5Cboxed%7B%5Cbf%20%5C%3A%2010m-35%20%7D%7D)
So first of all you need to know that in 1 quart there is 31.9995 ounces so since shes says there is 2 quarts lets do the math:)
31.9995 x 2 = 63.999 ounces
now she says she took 8 mugs and filled them up each with 6 and 3/4 ounces. lets do the math:)
6 and 3/4 x 8 = 30 ounces
now lets subtract that from our 2 quarts or 63.999 ounces
63.999 - 30 = 33.999
so we have 33.999 fluid ounces left in the jar:)
hope this helps lol