The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.
A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. ..... (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. .....(case 2)
Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.
The root sof this quadratic equation are -4 and 2.5.
The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.
In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.
Now you separate and get the two separate answers. First the positive.
4
Now the negative
-2.5
Answer:
<em>The correct answer is: False</em>
Step-by-step explanation:
<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.
Here, 
but, 
So, a circle can't be circumscribed about the given quadrilateral.
Answer:
We can infer a cause-and-effect relationship because multiple variables were included.
Step-by-step explanation:
The multiple attributes for the divorced ones are
1) less physically active
2) an unhealthy weight,
3) smokers.
The attribute showing the % of the married is
1) death
So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.
This shows a cause and effect involving multiple variables.
In cause and effect one variable is dependent and the other is independent.
The cause is the independent variable and effect is the dependent variable.
CAUSE EFFECT
Married Death
Divorced 1) less physically active
2) an unhealthy weight,
3) smokers.
Answer:
D. 5$
Step-by-step explanation:
So, since he wants to save up the whole year, that would be 365 days. And, he wants to collect some money after then end of each <em>week</em>, and a week is 7 days, so you'd divide 365/7. This would give you about 52 weeks he'll set aside money for United Way. Therefore, you'd divide $260/52 weeks, to get a total of $5 each week.
