Answer:
a=109° b=71°
Step-by-step explanation:
All the angles in a parallelogram add up to 360. There are a few rules:
The opposite angles are congruent.
Consecutive angles are congruent.
We can apply these rules here.
71 is opposite to b
and a is consecutive to 71 so we can put together these equations.
180=71+a
71=b
we can simplify to get the answers
the end
The anual interest would be $200
mark me as brainliest if helpful
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
The answer would be less. Hope this helps. :)
Answer:
18
Step-by-step explanation:
Let x represent smallest number and y represent second number.
We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be 
.
We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:
Upon solving 2nd equation, we will get:
Therefore, the smallest number is 4.8.
The biggest number would be 
.
Upon substituting in equation (1), we will get:
Therefore, 2nd number would be 6.
Let us find sum of all numbers as:
Therefore, the sum of all 3 numbers would be 18.
