Mathematics College

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

In The Diagram Below, BC Is An Altitude Of AABD. To The Nearest Whole Unit, What Is The Length Of CD?

Answers

Answer 1

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

Related Questions

(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)

Answers

Answer : 12z - 32

Explaination:

Uhhh yeah math?

Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3

Answers

Answer:

A

Step-by-step explanation:

There are 210 calories in a 12 ounce drink if Katie drinks 5 ounces how many calories did she drink

Answers

Answer:

she drank a total of 87.5 calories

Step-by-step explanation:

you divide 210 by 12, and multiply by 5! :)

Answer:

87.5

Step-by-step explanation:

calories per oz is 210/12=17.5 then 5x17.5=87.5

IM BEING TIMED PLEASE HELP
Which of the 5 point problems are you solving?

A

B

C

Answers

Answer:

B. x = 7

    Y = 3

Step-by-step explanation:

Help please please please

Answers

A, make me the brainiest answer too pls

What is the inverse of the statement below?
XY
A. y X
B. 2X
C. yx
O
o
D. Xy

Answers

9514 1404 393

Answer:

  B.  ¬x ⇒ ¬y

Step-by-step explanation:

The inverse negates both the antecedent and the conclusion, leaving them in the same relationship with the implication arrow.

Can y’all answer the middle one Ill mark you brainlist.

Answers

Answer:

4.44 infinet

Step-by-step explanation:

If you are asking and need to round it up it will come up to

4.444

You need to round it up because the 4.444 goes on and on infinitely.

If you needed another answer comment what it is you need and I will answer you on there.

YW

Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS

Answers

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

To learn more about congruent triangles click :

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Please help me if you know how to do it

Answers

14. y=x^2 + 3

15. substitute the numbers from the table into each equation

16. All real numbers

Louis has reached 44% of his weekly reading time goal so far this week. If he has read for a total of 22 minutes this week, what is his weekly reading time goal?

Answers

50
Make a proportion 44/100 22/?

Check the photo for an explanation

gordan types 3,724 words in 49 minutes.Find the unit rate​

Answers

Answer:

76 words per minute

Step-by-step explanation:

3724/49 =76

Answer:

Unit rate = 76

Step-by-step explanation

49 min = 3724 words

1 min = ?

3724/49 = 76

1 min = 76 words

Therefore, the unit rate is 76.

Hope this helps :)

Moses is solving the problem below.

A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.

Look at the table below.

Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents

In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:

2.21184 or 2.212

Step-by-step explanation:

step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false

Answer:

Step 3

Step-by-step explanation:

I took a quiz and got it right

type 900 words in 15 min how many words permin

Answers

Answer:

60 wpm

Step-by-step explanation:

900/15

Answer:

60

words is the answer.

Step-by-step explanation:

ok

Whoever answers this gets brainlist!

Answers

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

HELP PLEASE!!!!

Describe two ways to find the distance between
two points on a Coordinate Plane.

Answers

distance formula and midpoint formula

distance: to find the distance between two points on a plane

midpoint: to find the midpoint between two points

Enter the decimal represented by the shaded square.
The shaded square represents

Answers

Answer: the shaded squares are equal to 0.3

boys:total students = 2:9, girls = 21, boys =

Answers

Answer:

6 boys

Step-by-step explanation:

Subtract to find the total number of girls.

9 - 2 = 7 girls

Write a ratio from boys to girls.

2:7

Divide to find the scale factor.

21 / 7 = 3

Multiply to find the total number of boys.

3 * 2 = 6

Best of Luck!

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint

Answers

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

How many minutes per lap is that?
How many laps per minute is that?
If Lin runs 21 laps at the same rate, how long does it take her?

Answers

Answer:

1.2 minutes is per lap

0.33 laps per minute

I can only do this much hope it helps.

r−5r−6s+8s−15 what is the answer for this equation

Answers

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

The simplified form of the given expression is -4r+2s-15.

The given expression is r-5r-6s+8s-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows:

r-5r-6s+8s-15

= -4r+2s-15

Therefore, the simplified form of the given expression is -4r+2s-15.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.

Answers

Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

How to determine the true statements?

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusive

Using the above highlights, the possible set of A are:

A could be {1, 2, 3}. A = {1, 2, 3, 4}.

Hence, the true statements are (A) and (B)

Read more about spinners at:

https://brainly.com/question/3765462

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What is the answer please?

Answers

3 I think I really don’t know
the answer has no solutions.

Sometimes subtraction involves borrowing.

true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

You will need borrowing for situations like this; 11 - 09

To subtract 1 by 9, you need to borrow.

PLEASE HELP ME ASAP

i’ll give you brainliest if it’s correct please help me :(

TWO PART QUESTION
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow?


SECOND PART

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. How long after Emilio throws the marshmallow does it reach its maximum height?

Answers

Answer:

part 1 = 49

part 2 = .25 seconds

Step-by-step explanation:

hope that can help!

find the slope of the line that passes through (6,4) and (2,5)

Answers

Answer:

-1/4

Step-by-step explanation:

you do change in y over change in x which is 4-5 over 6-2

when you do the calculations you get -1/4

What percent of 90 is 72?

Answers

Answer:

80

Step-by-step explanation:

i hope this is right

Answer:

80

Step-by-step explanation:

Put it into a percent proportion or e percent equation

Percent proportion:

is/of=%/100 or a/w=p/100

So, it would be: 72/90=p/100

Then solve by cross multiplying and you get your answer:

80

Find the distance between the two numbers on a number line −7,−323

Answers

Answer:

-316

Step-by-step explanation:

...................

y = 8x + 3=

help
please

Answers

Answer: x= y/8 -3/8

Step-by-step explanation:

Because I know my math just trust mee

Hi I'm struggling with this equation 1/2 * (- 4 + 12) + 3(1/3 * x + 6) = 3/4 * (- 16x + 8) and need help ​

Answers

Answer:

im not sour if this is what you want but i got 1.3 repeating

Step-by-step explanation:

u simplify in ur head

A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?

A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour

Answers

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

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