Answer:
Step-by-step explanation:
There are 2 similar triangles.
EDA and CBA
From that we can get the following proportion.
ED / CB = AD / AB
Filling in the letters we get
6/x = (4 + 3)/3 Combine
6/x = 7/3 Cross Multiply
7x =6*3
7x = 18 Divide by 7
x = 2.57
Answer:
x=30°
Step-by-step explanation:
Because of the given congruency,
Angle A = Angle D = 65°.
Angle C = 55°
Angle B = Angle E = 2x
Now, In Triangle ABC,
Angle A + Angle B + Angle C = 180°.
65° + 2x + 55° = 180°
120 + 2x = 180
2x = 60
x = 30°
HOPE IT HELPS!!!
For any quadratic functions, ax² + bx + c, we can easily find the x-coordinate of its vertex through the use of the formula below.

where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have


Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.


Thus, the
vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the
maximum profit that the shop owner could earn.The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.





From this, we can see that the x-intercepts are
(6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the
number candles sold if the shop wants to break even.
AB+BC you will get the length of AC
The probability that the participant was a nonsmoker is 25%.
<h3><u>Probability</u> </h3>
Given that at the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers, and in the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively, to calculate, if a randomly selected participant died over the five-year period, the probability that the participant was a nonsmoker, the following calculation must be performed:
- 15 x 5 = 75
- 30 x 3 = 90
- 55 = 55
- 55 + 90 + 75 = 220
- 220 = 100
- 55 = X
- 55 x 100 / 220 = x
- 5500 / 220 = X
- 25 = X
Therefore, the probability that the participant was a nonsmoker is 25%.
Learn more about probability in brainly.com/question/26684125