<h2>Question:- Solve for X </h2>
<h3>Given:- </h3>
According to the diagram:-
- Angle D = (6x+ 8)°
- Angle E = (5X+8)°
- Exterior angle C = 82°
<h2>Answer:- </h2>
<h3>Exterior angle property:- </h3>
Exterior angle is equal to the sum of two opposite interior angle
<h3>ATQ :- </h3>

Answer:
x = 
Step-by-step explanation:
Given equation is,

By solving this equation,
[tangent of any angle is negative in IInd and IVth quadrants]
x =
,
x = 
Therefore, value of x in the interval of [0, 2π] are
.
Answer:
n = 23
x = 17
p = 0.50
Step-by-step explanation:
For a binomial experiment we have the following variables:
<u>1) Number of trials or Sample size:</u>
The number of trials is represented by n. In the given scenario 23 adults were asked about their favorite pizza, so the number of trials in this will be 23. Thus
n = 23
<u>2) Number of success</u>
The number of success is denoted by x. Number of success indicates that how many trials resulted in the favorable outcome. In the given case, choosing a sausage pizza is a success. Since 17 adults chose the sausage, so
x = 17
<u>3) Probability of success on single trial</u>
This is represented by p. It is stated that 50% adults say sausage is their favorite pizza. So,
p = 50% = 0.50
Notice that both A and B are multiplied by (1/2).
Thus, the given expression can be re-written as [(1/2)(A+B)]^2.
Square the (1/2) and the (A+B) separately, and then multiply together the resulting squares:
(1/4)(A^2 + 2AB + B^2)
The length of the garden box would be 10ft if the width is 6ft.