Answer:
<h2>36</h2>
Step-by-step explanation:
![(r\circ q)=(x)=r\bigg(q(x)\bigg)\\\\r(x)=x^2;\ q(x)=3x\\\\\text{substitute}\\\\(r\circ q)(x)=(3x)^2=3^2x^2=9x^2\\\\(r\circ q)(2)=9(2^2)=9(4)=36](https://tex.z-dn.net/?f=%28r%5Ccirc%20q%29%3D%28x%29%3Dr%5Cbigg%28q%28x%29%5Cbigg%29%5C%5C%5C%5Cr%28x%29%3Dx%5E2%3B%5C%20q%28x%29%3D3x%5C%5C%5C%5C%5Ctext%7Bsubstitute%7D%5C%5C%5C%5C%28r%5Ccirc%20q%29%28x%29%3D%283x%29%5E2%3D3%5E2x%5E2%3D9x%5E2%5C%5C%5C%5C%28r%5Ccirc%20q%29%282%29%3D9%282%5E2%29%3D9%284%29%3D36)
<span>Vertical angles must be C and D
A.be complementary. They are not always complementary, to be complementary means having a sum of 90 deg
B.be acute. - Vertical angles can be NOT acute depending on how they are positioned and intersected with the lines.
Answer
C.have the same vertex.
D.be congruent.</span>
£87.00
Emily's dad pays 3 parts of the meal
Divide £52.20 by 3 to find one part of the ratio
= £17.40 ← 1 part of the ratio
2 parts = 2 × £17.40 = £34.80 ← Emily's share
total cost = £52.20 + £34.80 = £87.00
Answer:
The linear equation used to find the cost to rent the shoes is ![24.75+x=32](https://tex.z-dn.net/?f=24.75%2Bx%3D32)
Cost to rent the shoes is $7.25.
Step-by-step explanation:
Given:
Cost of per game of bowling = $4.95
Number of games played = 5
Total money paid = $32
We need to find the cost to rent the shoes.
Solution:
Let the cost to rent the shoes be 'x'.
So we can say that;
Total money paid is equal to sum of Cost of per game of bowling multiplied by Number of games played and cost to rent the shoes.
framing in equation form we get;
![5\times4.95+x=32\\\\24.75+x=32](https://tex.z-dn.net/?f=5%5Ctimes4.95%2Bx%3D32%5C%5C%5C%5C24.75%2Bx%3D32)
Hence The linear equation used to find the cost to rent the shoes is ![24.75+x=32](https://tex.z-dn.net/?f=24.75%2Bx%3D32)
On solving the above equation we will find the value of 'x'.
Now we will subtract both side by 24.75 we get;
![24.75+x=32-24.75\\\\x= \$7.25](https://tex.z-dn.net/?f=24.75%2Bx%3D32-24.75%5C%5C%5C%5Cx%3D%20%5C%247.25)
Hence Cost to rent the shoes is $7.25.
Answer:
The answer is below
Step-by-step explanation:
Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:
money spent by Jake = 7.65 + 5p
The money spent by Tina who bought 4 pounds of Turkish delight is:
Money spent by Tina = 2.45 + 4p
The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p