Answer:
y < 2/3x + 4
Step-by-step explanation:
Hi there! So first, we need to subtract 2x from both sides:
-3y > -2x - 12
Now, we need to divide both sides by -3 to isolate y. Since we are dividing by a negative value, <u>our</u><u> </u><u>inequality</u><u> </u><u>symbol</u><u> </u><u>will</u><u> </u><u>be</u><u> </u><u>flipped</u><u> </u><u>from</u><u> </u><u>></u><u> </u><u>to</u><u> </u><u><</u><u>.</u>
Your final answer is:
y < 2/3x + 4
Answer:
2 gallons
since each pitcher holds 2 quarts of water and 4 quarts= 1 gallon, Desta poured 2 gallons of water into her cooler
Answer:
52.19612
Step-by-step explanation:
hope this helps
Answer:
(-5,7) (5,-7)
Step-by-step explanation:
When you are told to lable, show or name the points that lie on a horizontal line, it basically means that; when a line is drawn, it passes through the selected points without changing the direction when joined together (horizontally).
From the above problem, (-5,7) and (5,-7) lie in the same horizontal line.
For (7,-5) and (-7,5) lie in the same vertical line.
Thereforeour, the answer is (-5,7) (5,-7).
Answer:
9. m(YZ) = 102°
10. m(JKL) = 192°
11. m<GHF = 75°
Step-by-step explanation:
9. First, find the value of x
4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)
Collect like terms
4x - 3x = -3 + 15
x = 12
4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
4(12) + 3 = ½(m(YZ))
48 + 3 = ½(m(YZ))
51 = ½(m(YZ))
Multiply both sides by 2
51*2 = m(YZ)
102 = m(YZ)
m(YZ) = 102°
10. First, find the value of x.
7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)
Add like terms
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
7(13) + 5 = ½(m(JKL))
96 = ½(m(JKL))
Multiply both sides by 2
2*96 = m(JKL)
m(JKL) = 192°
11. First, find x.
5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Multiply both sides by 2
2(5x + 15) = 11x + 18
10x + 30 = 11x + 18
Collect like terms
10x - 11x = -30 + 18
-x = -12
Divide both sides by -1
x = 12
m<GHF = 5x + 15
Plug in the value of x
m<GHF = 5(12) + 15
m<GHF = 60 + 15
m<GHF = 75°
