Answer:
No
Step-by-step explanation:
The defining property of a rhombus is that it has equal side lengths.
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Finding all side lengths :
<u>AB</u>
⇒ √(-4 + 6)² + (5 - 4)²
⇒ √2² + 1²
⇒ √5 units
<u>BC</u>
⇒ √(-3 + 4)² + (3 - 5)²
⇒ √1² + (-2)²
⇒ √5 units
<u>CD</u>
⇒ √(-5 + 3)² + (1 - 3)²
⇒ √(-2)² + (-2)²
⇒ √8 units
<u>DA</u>
⇒ √(-6 + 5)² + (4 - 1)²
⇒ √(-1)² + 3²
⇒ √10 units
As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.
Answer:
The geometric mean between 6 and 10 will be:

Step-by-step explanation:
We know that the geometric mean between the two numbers 'a' and 'b' is defined as:

Now, let us determine the geometric mean between 6 and 10
Using the formula





Therefore, the geometric mean between 6 and 10 will be:

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.
First of all, we will draw a triangle as shown in the attachment.
We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.


Using inverse sine or arcsin, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle J is approximately 24 degrees.