Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
Depends on how many you have
Hello,
Answer D: 4.30 in
The circomference is 27 in=2*π*R
==>R=27/(2π)=4.291834... ≈4.30 (in)
The number of quarts of orange juice did Rebecca use is 7
Given that 28 glasses with orange juice are filled for a camp breakfast
Each glass holds 1 cup of juice
We need to find the number of quarts of orange juice did Rebecca use
We know that a quarts has 4 cups
We need to calculate the quarts from 28 glasses
Let the number of the quarts be x
So the equation formed is
4x = 28
Where x is number of quarts and 28 are the number of glasses
x = 7
Hence the number of quarts is 7
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Answer:
A complete angle is one which measures 360∘360∘.
The three angles
6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘
add up to 360∘360∘, as per the question.
6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘
⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘
⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘
⟹2x+3y+z=90∘⟹2x+3y+z=90∘
This is the required relation.