Answer:
<h2>
BD = 88</h2><h2>
</h2>
Step-by-step explanation:
If BD = 7x – 10, BC = 4x – 29, and CD = 5x – 9, find BD.
BC + CD = BD
4x – 29 + 5x – 9 = 7x – 10
combine similar terms:
4x + 5x - 7x = 29 + 9 - 10
2x = 28
x = 28/2
x = 14
find BD: plugin x-14 into 7x – 10
BD = 7x – 10
BD = 7(14) - 10
BD = 98 - 10
BD = 88
Area of square tiles = 16 ft²
Area of rectangular floor = 52 yards * 40 yards = 2080 yards²
Number of square tiles needed = Area of Rectangular floor / Area of square tiles
3feet = 1 yard
Number = 2080 yards² / 16 ft²
= 2080 * (3 ft)² / 16 ft² having substituted
= 2080 * 3² ft² / 16 ft²
= (2080 *9) / 16
= 1170
So 1170 tiles are needed.
Answer:
x = 75°
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram.
(Opposite sides of a parallelogram)
(Interior angles on the same side of transversal)
(Alternate angles)
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
<h3>When should the t-distribution and the z-distribution be used?</h3>
- If we have the standard deviation for the sample, the t-distribution should be used.
- If we have the standard deviation for the population, the z-distribution should be used.
In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.
More can be learned about the t-distribution at brainly.com/question/16162795