52 received a pencil
17 received a notebook
5 received a t shirt
Answer:
mary=10 jack=15
Step-by-step explanation:
After 4 years Mary (x+4), Jack's age (x+5) + 4.
sum of the ages after 4 years :(x+4) + (x+5) +4=33
Simplifying the equation:
2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age
10 + 5 = 15 which is Jack's age.
A.)
Slope:-1/4
Y intercept: (0,13/4)
X intercepts:(13,0)
B.)
X intercepts:(3,0)
Y intercepts:(0,-3)
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:

The answer is
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:

<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
2.93
Step-by-step explanation: