Given:
The vertices of a right triangle are:

To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are
.
The distance formula is:

Using distance formula, we get





Similarly,




And,





Now, taking sum of squares of two smaller sides, we get




By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Answer:
1.4 kg of candy
Step-by-step explanation:
Divide the amount of candy by the number of jars:
12.58/9
= approx. 1.4
So, each jar will have approximately 1.4 kg of candy
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
If you mean that you want to solve the equation for v, then all you need to do is to multiply both sides by 3:
