Answer:
x = 60°
y = 72°
z = 48°
Step-by-step explanation:
x = 180 - p = 180 - 120 = 60
Since y;z = 3:2 , 2y = 3z or z = 2y/3
Now, x + y + z = 180
60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction
180 + 3y + 2y = 540
180 + 5y = 540
5y = 360
y = 72
z = 2(72)/3 = 48
Check: 60 + 72 + 48 = 180
Answer:
50 stuffed animals and 22 mystery boxes.
Step-by-step explanation:
Firstly, we assign variables.
Let the number of stuffed animals be x and the number of mystery boxes is y
The probability of selecting a stuffed animal is x/72 while the probability is selecting a mystery box is y/72
Now, since the total probability can be 1:
This means that
x/72 + y/72 = 1 •••••••(i)
Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
