In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD? ​

Answer:

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]

Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]

Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]

Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]

Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C

My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.

A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?

Mr. Butler is playing a game with the pictured spinner. He wins the amount of money shown if he spins green. He loses the amount
of money shown if he spins yellow. Is this a fair game? Explain why or why not.
A)
Yes; Mr. Butler has an equal chance of winning money or losing money,
B)
Yes; Mr. Butler is more likely to win money than lose money.
No; Mr. Butler is more likely to win money than lose money.
D)
No; the same number would need to be on every piece.

For the function, find f (−2), f (−0.5), and f (3).

f(x) = −5x + 2

Write a polynomial function of least degree in standard form that has the given zeros: -1, 2, 3−1,2,3

The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?

a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000

1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.

a grocery store sells different types of trail mix as shown in the table below

Simplify 81^5 = 3^х x=

In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her final turn. What’s niki’s final score?

Prompt: A car is traveling down a highway at the constant speed, described by the equation “d=65t” , where “d” represents the distance, in miles, that the car travels at this speed in “t” hours.

Question 1:
1. What does 65 tell us in this situation?

a. The car travels 65 miles in 1 hour.
b. The constant of proportionality is 65 miles per hour.
c. The car traveled a total of 65 miles
d. The car is traveling 65 miles per hour.

—————————————————————

Question 2:
2. How many miles does the car travel in 1.5 hours?

The car travels □ miles in 1.5 hours.

—————————————————————

Question 3:
3. How long does it take the car to travel 26 miles at this speed?

“Type your response in the down below”

Please Help!
​

In \triangle BCD,△BCD, \overline{DB}\cong \overline{CD} DB ≅ CD and \text{m}\angle C = 36^{\circ}.m∠C=36 ∘ . Find \text{m}\angle D.m∠D.

A swim club has two payment plans.
You can become a member by paying a $12 new member fee and use the pool for $3 a visit.
Or, you can use the pool as a nonmember for $5 a visit.
For how many visits would it cost the same to be a member or a nonmember?

8.
A recipe calls for 4 cups of dry ingredients. Of the 4 cups, 1 cup
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Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 1
21 3
35 5

(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.

a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change

A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?

Nancy was buying peaches to make a cobbler. She needed 4.5 pounds of peaches, and they are on sale for $1.60 per pound. How much will the peaches cost?​

In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.

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How many factors of 3 did you write?​

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What is the equation for the line in slope-intercept form?

Enter your answer in the box.

Plz Help

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help plzzzz I begg you ​