Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the measures of other two angles of triangle.

We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.


∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

Second AnglE :
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

Third AnglE :
∴ Hence, the measure of the third angle of the triangle is 140°.
Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard distirbution or excel and we got:
Answer:
x = 12
Step-by-step explanation:
By applying geometric root theorem in the given triangle,





Therefore, x = 12 will be the answer.
9514 1404 393
Answer:
-2/5
Step-by-step explanation:
The slopes of parallel lines are the same. The slope of the given line is -2/5, the coefficient of x.
The slope of a parallel line is -2/5.
Answer:
v= -12
Step-by-step explanation:
v= -12
v = -29+17
v= -12