Reduce each ratio to its minimum expression to find if they are equal.
35:28

10:8

Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:

Since both products are equal, then the ratios are equivalent.
Answer:
x = 71
Step-by-step explanation:
Since 2 sides of the triangle are congruent then the triangle is isosceles.
Thus the 2 base angles are congruent
The sum of the 3 angles in the triangle = 180°, so
x =
=
= 71
Answer:

Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

The factorial of an integer n is evaluated as;

Using this concept, the above expression can now be simplified as follows;

Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression,
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;

Total surface area is 152 cm