Given:
In the given figure, , WS = 5, WR = 4x+3, RT=7x+3 and VT=8.
To find:
The measure of WR and RT.
Solution:
In triangles WRS and TRV,
(Given)
(Vertically opposite angles)
(AA property of similarity)
We know that the corresponding sides of similar triangles are proportional. So,
Isolate the variable x.
Divide both sides by 3.
Now,
And,
Therefore, the measure of WR is 15 units and the measure of RT is 24 units.
Answer:
Step-by-step explanation:
The area of a triangle can be found using the following formula.
where is the base and is the height.
In this triangle, the base is 7 feet and the height is 4 feet.
Substitute the values into the formula.
Multiply 7 ft and 4 ft.
Multiply 28 square feet by 1/2 or divide 28 square feet by 2.
The area of the triangle is 14 square feet.
Answer:
y = 30x + 3.50
Step-by-step explanation:
30 is the base number for cost, and then there is an additional $3.50 per ride you go on.
So if there are 5 choices and only one is correct, there is a 1/5 chance of being correct. since there was 2 questions, you need to multiply 1/5 by 1/5 to get 2/25 of getting both questions correct.
i hope this helps!!
Answer:
The test results support the claim
Step-by-step explanation:
The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight ounce servings (Coca-Cola Company website, February 3, 2009).
Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola’s corporate headquarters.
A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s = 101.9 ounces. Using α = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?
Hx: u <= 423 oz
Ha: u > 423 oz (claim)
z(460.4) = (460.4-423)/[101.9/sqrt(36)] = 2.2022
p-value = P(z > 2.2022) = 0.0138
Conclusion: Since the p-value is less than 5%
reject Hx at the 5% significance level.
The test results support the claim.