Answer:
Ivan got £90 more than Tanya.
Step-by-step explanation:
Ivan and Tanya share the amount £150 in the ratio of 4 : 1
Amount received by Ivan = 
= 
= £120
Similarly, amount received by Tanya = 
= £30
Difference in their amounts = 120 - 30
= £90
Therefore, Ivan got £90 more than Tanya.
Answer:
C
Step-by-step explanation:
A triangle is 180 degrees so 120+40 is 160
180-160=20
Answer:
See explanation
Step-by-step explanation:
A. P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%
P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%
P(side)=25/30=5/6=83.33333333333...%
B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.
Answer:
y = -1/2x +6
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -1/2x +b
Substitute the point into the equation
9 = -1/2 (-6) +b
9 = 3+b
9-3 =b
6 =b
y = -1/2x +6
Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
