in triangel abc line segmemt cd is an altitude, such that ad=bc. find ac if ab=3cm and cd =sqrt2

Answers

Answer 1

Answer:

√7

Step-by-step explanation:

Let :

AC = x

BD = y ; AD = 3 - y

Since, AD = BC

Then BC = 3 - y

Taking △BDC a d applying Pythagoras

Hypotenus² = opposite² + adjacent²

BC² = CD² + BD²

(3 - y)² = (√3)² + y²

9 - 6y + y² = 3 + y²

-6y + y² - y² = 3 - 9

-6y = - 6

y = 1

AD = 3 - y ; AD = 3 - 1 = 2

Taking △ADC

AC² = CD² + AD²

AC² = (√3)² + 2²

AC² = 3 + 4

AC² = 7

AC = √7

In Triangel Abc Line Segmemt Cd Is An Altitude, Such That Ad=bc. Find Ac If Ab=3cm And Cd =sqrt2

Related Questions

the Marked price of a book is rupees 160 if it is sold at 15% discount find the discount amount and selling price​

Answers

answer is 15%

Step-by-step explanation:

cost prices of book =160

selling prices of book =136

now,rate of discount =loss% (as discount only leads to some kind of loss)

so CP>SP

so loss=CP-SP =160-136=24

loss%= (loss/CP)÷100

=(24/160)÷100

=15%

so rate of discount =15%

Between which two intergers does -3 7/8 lie?​

Answers

Answer:

Step-by-step explanation:

-4 and -3

Answer:

-4 and 3 because I tookt the test and the other guy was right too

Write an inequality that represents the set of all numbers shown on the number line

-8 and -1

Answers

Answer:

-8 is less than -1

Step-by-step explanation:

If you look at a number line

-8 -7 -6 -5 -4 -3 -2 -1 0

Which one is closest to 0. -1, therefore it is greater

The set of all numbers shown on the number line 8 < -1.

What is a number line?

A number line is a horizontal line that has numbers in equal intervals. The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.

The horizontal straight lines in which the integers are placed in equal intervals increase as we go right. The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.

A number line can be described as an instant line with numbers positioned at identical intervals or segments alongside its period. a variety of lines may be extended infinitely in any route and is commonly represented horizontally.

Learn more about the number line here:-https://brainly.com/question/24644930

#SPJ2

SEE QUESTION IN IMAGE

Answers

Answer:

48

Probability of dying on the birthday is:

1/365

Probability of not dying on the birthday is:

1 - 1/365 = 364/36549

Probability of blue-eyed boy is:

1/2*1/4 = 1/850

Total frequencies = 10

Frequency of 7 and greater is 4: 7, 8, 9, 10

Required probability:

4/10 = 2/5

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.

Answers

Answer:

1/4

Step-by-step explanation:

Count all of the vowels (this will be your numerator):

A and E

2

Count all of the letters (this will be your denominator):

A, B, C, D, E, F, G, and H

8

Write this as a fraction:

2/8

Simplify:

2/8 = 1/4

HELP QUICK ILL GIVE BRAINLIEST

Answers

Answer:

here's the answer to your question

Answer: √18

√(4-1)^2 + (5-2)^2

√9 + 9

√18

Answered by Gauthmath must click thanks and mark brainliest

write the equation of the line that passes through the point (-2,4) and (5,8). Put your answer in fully reduced point slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y-4=4(x+2)/7

Step-by-step explanation:

slope(m) = (8-4)/(5-(-2)) =4/7

b = 4-(4/7)×(-2) = 36/7

y = mx+b

y = 4x/7+36/7

in point-slope form,

y-4=4(x+2)/7

Solve the system of equations:
y = 2x - 4
y = x2 - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

y=x2-4

ygjn bcgh ccfjm kbhh

Find the missing angles indicated by small letters in each of the diagram. ​

Answers

Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

When (8x − 4) = 2x is solved, the result is:

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

1/2(8x - 4) = 2x

Step 2: Solve for x

[Distributive Property] Distribute 1/2:                                                              4x - 2 = 2x[Subtraction Property of Equality] Subtract 2x on both sides:                      2x - 2 = 0[Addition Property of Equality] Add 2 on both sides:                                    2x = 2[Division Property of Equality] Divide 2 on both sides:                                  x = 1

Answer:

x = 2/3

Step-by-step explanation:

(8x − 4) = 2x

8x - 4 = 2x

6x = 4

x = 2/3

pls help

The equation of a line parallel to 6x – 2y + 10 = 0 and passes through the point
(-2,7).

Answers

Answer:

y=3x-1

Step-by-step explanation:

First we need to rewrite 6x-2y+10 =0 into the standard slope form of y=mx+b when done you get y=3x+5Next we need an equation that passes through the point (-2,7). Now remember equations that are parallel have the same slope so the equation should look like y=3xIn standard slope form the b is the y-intercept. We now need to plug in the x ordered pair value into the standard slope equation. y=3(-2)+5 to get y=-1 meaning -1 is the y-intercept Therefore the answer is y=3x-1

Answer:

Y = 3X + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )

- 2y = - 6x - 10 ( divide terms by - 2 )

y = 3x + 5 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (- 2, 7 ) into the partial equation

7 = - 6 + c ⇒ c = 7 + 6 = 13

y = 3x + 13 ← equation of line in slope- intercept form

a. $30
b. $60
c. $40
d. $50

Answers

Answer:

it should be $30 so letter a

The perimeter of a rectangle is 34 units. Its width is 6.5 units.
LAT. write an equation to determine the length

Answers

Answer:

please mark me brainlist

Step-by-step explanation:

I need help with this question. Pls give me an answer /steps and explanations.

Answers

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

Express your answer using positive exponent.

[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]

adding power of common term and multiply constant term:

[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]

[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

[tex]30s^5t^9u^{10}v^8[/tex]

Step-by-step explanation:

We'll be using the following exponent property to solve this problem:

[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]

This will allow us to combine terms with the same variable.

In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].

Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.

Therefore, combine using the exponent property I mentioned above:

[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]

Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].

Combine using the exponent property:

[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]

Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:

[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]

[tex]v^7\cdot v=v^{7+1}=v^8[/tex]

Finally, combine all the terms together:

[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]

NEED ASAP PLZZZ HELP

Answers

Answer:

the 1 one will be the answer

I NEEDDD HELPPPP ASAPPPP ITS URGENTTT!!!!

Answers

Answer:

(x-6)^2+(y-14)^2=4

Step-by-step explanation:

Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)

Answers

Answer:

The answer is (A)

Step-by-step explanation:

Cos (x-[tex]\frac{5}{6}[/tex])=[tex]\frac{\sqrt{2} }{2}[/tex]

Answers

Answer:

Solution given;

Cos (x-[tex]\frac{5}{6}[/tex])=[tex]\frac{\sqrt{2} }{2}[/tex]

Cos (x-[tex]\frac{5}{6}[/tex])=Cos45°

equating corresponding value

(x-[tex]\frac{5}{6}[/tex])=45°

x=45°+5/6

x=45.83°

What type of angle is angle R?

A. obtuse
B. right
C. straight
D. acute

Answers

Answer:

A. Obtuse

Step-by-step explanation:

Angle R is greater than 90°.

Answer:

Obtuse

Step-by-step explanation:

We know this because the angle is larger than 90 degrees which is also known as an obtuse :)

f(x)=−4x
2
+5x
\text{Find }f(6)
Find f(6)

Answers

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

     = -4(36) +30

     - 144+30

   = -114

Step by step solution please

Answers

Answer: A, C, D

Step-by-step explanation:

To find which logarith simplifies to 2, we first need to know how they work.

We now know that [tex]log_a(a^x)=x[/tex].

This tells us that only A, C, D would work.

[tex]8^2=64\\ \\6^2=36\\\\10^2=100[/tex]

Note: whenever you have a log that doesn;t specify the base, it is always 10, as shown in D.

Explain the relationship between an inda vidual and a society​

Answers

Answer:

The relation between individual and society is very close. Essentially, “society” is the regularities, customs and ground rules of antihuman behavior. ... Man is biologically and psychologically equipped to live in groups, in society. Society has become an essential condition for human life to arise and to continue.

Could someone answer this for me pleasee

Answers

Answer:

4 and 6.2

Step-by-step explanation:

ABC=sqrt(2.4^2+3.2^2)=4

ABD=sqrt(2.4^2+3.2^2+4.8^2)=6.2

HEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

5:30 PM

Step-by-step explanation:

35 mp ½ hour = 70 mph

245 miles ÷ 70 mph = 3½ hours

2PM + 3½ hours = 5:30 PM

Janice's age was two-third of her elder sister's age now. If Janice's elder sister was x years old three years ago, determine Janice's age three years later in terms of x.​

Answers

Answer: Her sister's age 3 years ago = x

so, her age now = x+3

so Janice's present age = 2/3 of (x+3) {as Janice's present age is two-third of her sister's age now}

Therefore, Janice's age determining the value of x is 2/3 of (x+3).

find the value or x.
-
a. 5
b. 11
c. 25
d. 31

Answers

11 because it is bigger than EB and smaller then DF

Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 36% end up investing in both stocks and bonds. What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

Answers

Answer:

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Step-by-step explanation:

This question is solved treating these probabilities as Venn events.

I am going to say that:

Event A: Person invests in stocks.

Event B: Person invests in bonds.

65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks

This means that [tex]P(A) = 0.65[/tex]

38% end up investing in bonds

This means that [tex]P(B) = 0.38[/tex]

36% end up investing in both stocks and bonds.

This means that [tex]P(A \cap B) = 0.36[/tex]

What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

This is [tex]P(A \cup B)[/tex], given by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Considering the values we have for this problem:

[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?

Play A: y=25x+136
Play B: y=-x^2+44x+76

Answers

Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

[tex]25x+136=-x^2+44x+76[/tex]

Simplify:

[tex]x^2-19x+60=0[/tex]

Factor: Both factors must be positive as the days can only be natural numbers.

[tex](x-15)(x-4)=0[/tex]

x=4,15

I WILL GIVE BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

(f(-3+h)-f(-3))/h=(5(-3+h)^2-5(-3)^2)/h=(5*(-3+h-3)(-3+h+3))/h=-30*h/h=-30

What is the product of 2x and 4x2−3xy+y2?

A.6x3−x2y+xy2
B.8x3−6x2y+2xy2
C.2x3−x2y−xy2
D.6x3−5x2y+2xy2
E.−8x3+6x2y−2xy2
Please help

Answers

[tex]\bf \large \rightarrow \: \:2x \: \: ( \: 4 {x}^{2} \: - \: 3xy \: + \: {y}^{2} \: )[/tex]

[tex]\bf \large \rightarrow \: \: 8 {x}^{3} \: - \: 6 {x}^{2}y \: + \: 2x {y}^{2} [/tex]

Option ( B) is the correct answer

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