We can use the fact that a cyclic quadrilateral (i.e. a quadrilateral inscribed in a circle) has the opposite angles supplementary, therefore
2x+(2x+4) = 180
Solving for x:
4x+4=180
4x=180-4=176
x=176/4=44 °
=>
angle O = 2x = 88 °
angle Q=180-O=180-88 = 92 °
Similarly,
(3y+8)+y= 180
=> y=43 °
=>
P=y=43 °
R=180-43=137 °
2. There are 18 other bottles in the fridge, because .6 of 30 is 18. 30 – 18 is 12, so there are 12 bottles of orange juice and cranberry juice.
4. If the probability of an event is 25%, then the probability of <em>not</em> that event is the other part of 100%. In other words, 1 – .25 = .75.
Answer:
x = 36 and y = 28
Step-by-step explanation:
Let she sells x shakes and y doublescoop cones
One day they sold 8 more shakes than scoops, and made $156.
ATQ,
2x+3y = 156 ..(1)
Also,
x = y+8 ..(2)
Put the value of x from (1) to equation (2)
2(y+8)+3y = 156
2y+16+3y = 156
5y = 156 - 16
5y = 140
y = 28
Put the value of y in equation (2)
x = 28+8
x = 36
<em>Hence, they will sell 36 shakes and 28 doublescoop cones.</em>
Answer:
B. slope: 3/2, y-intercept: 5
Step-by-step explanation:
Rewrite in slope-intercept form. The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
