Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3> The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:
Where "k" is the constant of proportionality.
We can choose the point ) from the table, where:
Substituting these values into and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For :
2) For :
3) For :
Answer:
a=9, c=19
Step-by-step explanation:
Aight so basically in 30, 60, 90 triangles there is a formula for the sides
the hypotenuse(the longest side)=2a
The tiny side (the smallest side)=a
and the middle child =
Based on that we see that a is 9
and since c=2a then it's 18