Answer:
The length of the rhombus is =
Step-by-step explanation:
It is given that the Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC.Then,
AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:
⇒
⇒
Now, ΔDBE is similar to ΔABC, then
DE=
=
=
Thus, the length of the rhombus is =
<h2>
Answer:</h2>
When working with scientific data the average of a data set is called:
Mean of the data.
<h2>
Step-by-step explanation:</h2>
We know that in a given set of data the mean is calculated by finding the ratio of the sum of all the data points of the set to the total number of data points which is also known as the average of the data points.
Hence, the average of a data set is called :
Mean of data set
Answer:
After 5 hours the amount of cells is 35
Step-by-step explanation:
i just graphed it and the point in which they intersect s the x and y values. Hope this helped Happy Holidays
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are is
Putting and , we get
Now,
and
and
and
, so it is an obtuse angle and , so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Answer:
Option B
Step-by-step explanation:
Before a researcher specifies the relationship among variables he must have an inventory of propositions/constructs which are mostly stated in a declarative form. These are then tested by examining the relationships between measurable variables of this constructs/propositions.