In any rhombus, the four sides are the same length.
Because of this, we know that
Furthermore, AC = AC due to the reflective property
Those three facts then allow us to prove triangle ACD is congruent to triangle ACB through the SSS congruence property. Then from CPCTC, we then know that angle DAC = angle BAC, which is enough to show that AC bisects the angle shown. The term "bisect" means "cut in half".
Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is

we have

assume

substitute


step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees

5(2)^3-7/ 4(2)^2 = 5(8) - 7 / 4(4) = 40-7/ 16 = 33/16
1. Substitute 2 in to the places where x are.
2.solve the square root first then multiply whats outside the square root with the numbers. (2)^3 = 8 and (2)^2 = 4, now multply 5 x 8 = 40 and multiply 4 x 4= 16
3. subtract 7 from 40 to get 33.
4. Check if it can be further simplified, this cant so the answer is 33/16
The best model for the package is a cone and the approximate surface area is 258 square inches.
<h3>How to illustrate the information?</h3>
From the information given, it was stated that the diagram shows a shape with circular base and curved surface meeting at a point. The diameter of the base is labeled 9 inches and the height of the shape is labeled 13 inches.
In this case, the information given about the diagram shows that it's a cone.
Also, given the information, the total surface area of the cone that has a slant height and diameter is given as:
= π(d/2)(d/2 + l)
In such a situation, it should be noted that d represents the diameter in the question. The surface area is the total area that's covered by its surface.
Therefore, the best model for the package is a cone and the approximate surface area is 258 square inches.
Learn more about cone on:
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Answer:
1.) .800
2.).779 to .821
Step-by-step explanation:
We must assume that the sample that we are given to work with is representative of the population, in which case we just need to find the proportion of people in the sample who don't smoke. This is
= .8002, or .800 rounded to three decimal places.
Part 2 will build off the answer in step 1. The middle of the confidence interval will be the estimate gained from the sample, or .800. The critical value of 98% equals 2.326 when using the normal model. The standard deviation can be calculated using the formula
. Plugging in the numbers you get
= .009.
This means the confidence interval is .800±.021