Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Option A. 17.6%
Step-by-step explanation:
Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;
it means that 5 is whole percent and 7 will be written as 
= 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.
Now the highest percent of older residents for Florida will be the last stem leaf in the data given as 17 + 0.6 will represent 17.6% which is the highest among all others.
5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.
Therefore option A id correct with 17.6% percent as of Florida.
The greatest value shown on the dot and whisker plot is c. 50
Answer:
12, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.
Step-by-step explanation:
A stem and leaf plot works like a digit separator. The left is the first number, which is usually repeated, and the right is the number you add to it.
In this example, 3 is used three times for the numbers 34, 35, and 39.
Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
