Answer:
1 . given
2. given
3. transitive properties of congruence ...
4 .AAS
Since "p" represents the number of pounds of peanuts and:
4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:
4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:
4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:
0.9 = 0.45p [then by dividing both sides by 0.45 we have:
2 = p
So there are 2 pounds of peanuts needed for the trail mix.
Answer: -7
Step-by-step explanation:
First, lets use the functions to find the answer to f(-8) and g(4)
f(-8) is the same as asking for the value of y when x is -8
Therefore, f(-8) = -5 (according to the graph)
Using the same rule, g(4) would be the value of y when x = 4 which,
according to the graph, g(4) = 3
Plug these values back into the original equation to get:

using the order of operations, we will multiply the values first

<h2>Therefore, our final answer is -7</h2>
The base of the tent is 72 across the whole way and the hypotenuse is 45
so
to find the length of the stick call it x
half 72 to reduce it to the right hand side triangle
45²-36²=x²
x²=729
x=27 inches<span />
Answer:
$24166.67
Step-by-step explanation:
$25 per hour and works 35 hours per week
Norma Jean makes 35 * 25 (<em>without sales) = </em>$875
<em> </em>Total commission made by Norma<em> </em>= 4500-875 = $3625
<em>let total number of sales by Norma be x</em>
15% is the same as 15/100
<em>so </em>(15/100) * x =3625 <em> multiplying both sides by 100</em>
15x = 362500<em> making x subject of formula</em>
x = 362500/15
x = 24 166.67
Norma should sell total items worth $24166.67