Answer:
<h2>The constant of proportionality is 0.50</h2>
Step-by-step explanation:
The constant of proportionality is the unit ratio between variables.
According to the problem, Marie pays $2.50 for 5 pencils. So, the unit ratio os this would be the constant of proportionaliy. To find it, we just need to divide.

Therefore, the constant of proportionality is 0.50, which means Marie paid $0.50 per pencil.
Answer:
The value of x = 33 units (Approx.)
Step-by-step explanation:
Given triangle is a right angle triangle;
So,
Base of triangle = 18 unit
Angle with base = 57°
Find:
The value of x
Computation:
Using trigonometry function;
Cosθ = Base of triangle / Hypotenuse triangle
Cos57 = 18 / x
0.544 = 18 / x
The value of x = 18 / 0.544
The value of x = 33.088
The value of x = 33 units (Approx.)
Answer:
Her new salary would be 19,110
Step-by-step explanation:
To find the new salary, start by finding the amount of the raise. You can do this by multiplying the former amount by the percentage of the raise.
18,200 * 5% = 910
Now we add the old salary to the amount of the raise.
18,200 + 910 = 19,110
<span>the answer is C: Lara should have only divided the side lengths by 2 in order to reduce the triangle.</span>
If the x between 5 and 2 is a letter then the answer is -21
If it’s a multiplication sign then it’s 19