Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations 
you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
Answer:
Constant of proportionality,
Step-by-step explanation:
Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,
it is written in the form of y = kx, where k is the constant of proportionality.
Given the equation: .....[1]
where r is the constant of proportionality.
From the table we consider
x = 14 and y = 1.4
Substitute these given values in [1] to solve for r;
Divide both sides by 14 we get;
therefore, the Constant of proportionality,
Answer:63
Step-by-step explanation:
Answer:
Children 188
Adults. 115
Step-by-step explanation:
Let the no. of children be x and adults be y
x + y = 303
x = 303 - y. .... .....(1)
1.75x + 4.80y = 881. ...........(2)
Substituting,
1.75(303-y) +4.80y = 881
530.25 -1.75y + 4.80y = 881
530.25 + 3.05y = 881
3.05y = 881 - 530.25
y = 350.75 / 3.05 = 115 = adults
Children = 303-115 = 188
