12 muffins = 1 cup
x = 1 1/4 cups
x = 5/4 cups
cross multiply:
12*5 / 4 = x * 1
3 * 5 = x
x = 15
Answer = 15 Muffins
Other way:
1 1/4 cups = how many muffins
you already know 1 cup = 12 muffins
remaining 1/4 cups = how many muffins?
1/4 of 12 = 3
So 12 + 3 = 15 muffins
A linear function does indeed form a line.
Answer:
Part 1) The measure of angle PSL is 45°
Part 2) The measure of angle XYZ is 70°
Part 3) The measure of angle HJZ is 100°
Part 4) The measure of angle PHL is 120°
Part 5) The measure of angle WXZ is 140°
Part 6) The measure of angle UTG is 62°
Step-by-step explanation:
Part 1) Find the measure of angle PSL
we know that
∠PSL+∠LSM=90° -----> by complementary angles
we have
∠LSM=45°
substitute
∠PSL+45°=90°
∠PSL=45°
Part 2) Find the measure of angle XYZ
we know that
∠WYX+∠XYZ=180° -----> by supplementary angles
we have
∠WYX=110°
substitute
110°+∠XYZ=180°
∠XYZ=70°
Part 3) Find the measure of angle HJZ
we know that
∠HJZ=∠HJK+∠KJZ
we have
∠HJK=20°
∠KJZ=80°
substitute
∠HJZ=20°+80°=100°
Part 4) Find the measure of angle PHL
we know that
∠PHL=∠PHS+∠SHL
we have
∠PHS=46°
∠SHL=74°
substitute
∠PHL=46°+74°=120°
Part 5) Find the measure of angle WXZ
we know that
∠WXZ=∠WXY+∠YXZ
we have
∠WXY=15°
∠YXZ=125°
substitute
∠WXZ=15°+125°=140°
Part 6) Find the measure of angle UTG
we know that
∠UTG=∠ATG-∠ATU
we have
∠ATG=120°
∠ATU=58°
substitute
∠UTG=120°-58°=62°
Answer:
x = 6
Step-by-step explanation:
x / y = 3
y = 2
x / 2 = 3
x = 3(2)
x = 6
Answer:
x=32, y=36, and z=25
Step-by-step explanation:
There are only two sums the equations can all add up to, 67 degrees and 113 degrees. I know that to the equation with x is equal to 67 degrees.
2x+3=67
2x=64 (subtract 3)
x=32 (divide by 2)
Now to find the measurement of the other angle, we subtract 180 and 67 since the measurement of a line is 180 degrees.
180-67=113
The equations of y and z are both equal to 113.
3y+5=113 4z+13=113
3y=108 (subtract 5) 4z=100 (subtract 13)
y=36 (divide by 3) z=25 (divide by 4)