In the figure below, what is the measure of AB?

In The Figure Below, What Is The Measure Of AB?

Answers

Answer 1

Answer:

The measure of AB is 29

Step-by-step explanation:

If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths

In Δ ABD

Line AC ⊥ side BD

∵ BC = BD = 15

C is the mid-point of The side BD

∴ Line AC is a perpendicular bisector of side BD

→ By using the rule above

AB = AD

∵ AB = 5x - 11

∵ AD = 3x + 5

→ Equate them

5x - 11 = 3x + 5

→ Add 11 to both sides

∵ 5x - 11 + 11 = 3x + 5 + 11

∴ 5x = 3x + 16

→ Subtract 3x from both sides

∵ 5x - 3x = 3x - 3x + 16

∴ 2x = 16

→ Divide both sides by 2

x = 8

→ Substitute the value x in the expression of side AB

∵ AB = 5(8) - 11

∴ AB = 40 - 11

AB = 29

The measure of AB is 29


Related Questions

Does anyone know the answer

Answers

Answer:

the answer is d

Step-by-step explanation:

For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30

the answer is d sorry if i am late !

f(x) = 4/5x - 2
Find f(3)
[?

Answers

Answer:

f(3) = 2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4/5x - 2

f(3) is x = 3

Step 2: Evaluate

Substitute:                    f(3) = 4/5(3) - 2Multiply:                        f(3) = 12/5 - 2Subtract:                       f(3) = 2/5

Answer: 2/5

Step-by-step explanation:

We need to replace x with 3

f(x)= 4/5*(3)-2= (12/5)-2=(12-10)/5= 2/5

Write an inequality for the graph.
The image is of a number line on which a line is drawn to the left of number -0.5 excluding it.

Answers

Answer:

hi .................

Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations

Answers

Answer: Let's solve for x.

−x−y=6

Step 1: Add y to both sides.

−x−y+y=6+y

−x=y+6

Step 2: Divide both sides by -1.

−x

−1

=

y+6

−1

x=−y−6

Answer:

x=−y−6

Let's solve for x.

5x−7y=66

Step 1: Add 7y to both sides.

5x−7y+7y=66+7y

5x=7y+66

Step 2: Divide both sides by 5.

5x

5

=

7y+66

5

x=

7

5

y+

66

5

Answer:

x=

7

5

y+

66

5

Step-by-step explanation:

pls help i will give 15 brainly points

Solve for 0​

Answers

Answer:

24.15°

Step-by-step explanation:

sinΦ = 18/44

Φ= 24.15°

Solve the inequality for w.

5 (w – 3) < 5W + 20

Answers

Answer:

All real solutions

Step-by-step explanation:

5w - 15 < 5w + 20

subtract 5w from both sides

-15 < 20

since it is true and there are no variables left. all real solutions will make this true

Answer:

w < w + 7

Step-by-step explanation:

5w-15 < 5w+20

divide all by 5 =

w < w + 7

Simplify the expression use the screen shot

Answers

Answer:

(a/b)^k=a^k/b^k

Step-by-step explanation:

Using the laws of exponents, we know that (a/b)^k=a^k/b^k.

I couldn't get it to format correctly so just know that the "/" are for the fraction signs and the "^" is for the exponent marking.

Answer:

a^k / b^k

Step-by-step explanation:

You have to use the properties of the powers.

PLEASE HELP!! look at the image below

Answers

Answer:

A right 4 down 5

Step-by-step explanation:

counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation

What is the 9th term in the geometric sequence?
a(n)=-6⋅(2)^(n-1)

A. -1536
B. 1536
C. 3072
D. -3072

Answers

The first one will be your answer

What is the slope of the line?

Answers

Answer:

-3/2

Step-by-step explanation:

Rise/run

You count down/up however many until the line hits another point, and then go across until it matches. So I counted down 3 squares and over 2, and since it is going down it is negative.

I hope this helps :)

Answer:

all endjsj

dhsieosjskso

DON’T REPLY IF YOU DON’T WATCH THE DREAM SM








So this is a work in progress, sorry Fundy looks weird, this is their reaction to Tommy getting exiled- again

Answers

Answer:

it looks decent just give it make it more detailed otherwise it looks good

Answer:

your drawing is good but I can't understand your ques

which linear function represent the table?​

Answers

Answer:

Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011

fasttt ans nthis plsssssssssssssssssssssss

Answers

The answer is 12.5. You take the average of the boys and the average of the girls add them and then divide.

Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?​

Answers

Answer:

$240

Step-by-step explanation:

40 x 5 = 200

40 x 6 = 240                  (basically just adding forty dollars)

Write an expression equivalent to 4(6x + 12), and state the property you used to write it.

Answers

Answer:

4(6x) + 4(12) Used distributive property

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

4(6x) + 4(12) Used distributive property

Joshua chose a mystery number. His mystery number is a factor of 42. Which number could be Joshua's mystery number?
A). 5.
B). 3.
C). 4.
D). 9.

Answers

Answer:

c. 3

Step-by-step explanation:

5 can only have factors like 10, 15. 4 is not it because 4x10 is 40 and it cant be 42 and then 9x5 is 45. Your welcome. Pls mark brainliest :)

4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.

Answers

Answer:

[tex]\theta=24^\circ[/tex]

Step-by-step explanation:

Trigonometry and Right Triangles:

The ratios of the sides of a right triangle are called trigonometric ratios. Any angle or side length can be calculated using the appropriate trigonometric ratio.

Please refer to the image below. The balloon is 100 feet high and the rope has a length of 250 feet. The right triangle formed allows us to apply a trigonometric ratio that relates the two given side lengths: the hypotenuse and the opposite leg to angle θ.

The sine ratio is defined as:

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin\theta=\frac{100}{250}=0.4[/tex]

[tex]\displaystyle \sin\theta=0.4[/tex]

Calculating θ:

[tex]\theta=\arcsin 0.4[/tex]

[tex]\theta=23.6^\circ[/tex]

To the nearest degree:

[tex]\mathbf{\theta=24^\circ}[/tex]

An online furniture store sells chairs for $200 each and tables for $750 each.
Every day, the store can ship a maximum of 16 pieces of furniture and must
sell at least $6000 worth of chairs and tables. If x represents the number of
tables sold and y represents the number of chairs sold, write and solve a
system of inequalities graphically and determine one possible solution.

Answers

So I hope this helps and is exactly what you are looking for

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent? HURRYYYYYYYYY

Answers

Answer:

the sea line

I am guessing

Step-by-step explanation:

Answer: I think it will the surface of the water

How many extraneous solutions does the equation below have?

fraction numerator 2 m over denominator 2 m plus 3 end fraction minus fraction numerator 2 m over denominator 2 m minus 3 end fraction equals 1

Answers

Answer:

Two extraneous solutions

Step-by-step explanation:

What is the correct value of x?

Answers

Answer:

x= -5

Step-by-step explanation:

First get X alone by dividing both sides by -4.2

-4.2x=21

-4.2. -4.2

then you're left with X = -5

To verify your answers, multiply -5 by -4.2

simplfy -3+7 ooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

Add -3 and 7. 4

Step-by-step explanation:

Uh ur welcome

Answer:

4

Step-by-step explanation:

I do it this way whenever there is a  - and a - I just add them but add negative sign. IF like in this problem - and a + I subtract...

Hope this helps :3

HELP FIND X AND Y PLS

Answers

Answer:

X=56 Y=56

Step-by-step explanation:

What is the answer to 1/4x=2?

Answers

Answer: x=8

Step-by-step explanation: Solve for the x by simplifying both sides of the equation, then isolate the variable.

I hope this help you out!

6 pounds of strawberries cost $13.50. What is the cost of 50 pounds of strawberries?

Answers

Answer:

$112.50

Step-by-step explanation:

13.50 / 6 = 2.25; this is how much it cost per pound

2.25 * 50 = 112.50

Do the equations 3x + 2y =7 and y= -x + 7 define the same line . plsssss help

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

When the second equation is put in standard form like the first equation is, then you can see they are different. They do not define the same line.

  3x +2y = 7

  x + y = 7 . . . . . second equation in standard form

They don’t define the same line

I need help asap I will give you brainlest

Answers

Answer:

Y=2

Step-by-step explanation:

YW thanks!

It is y=x + 2 because as x increases y increases also

Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1

Answers

Answer:

x = 1[tex]\frac{1}{6}[/tex], y = 3[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

y = -2x + 6 --- Equation 1

y = 4x - 1 --- Equation 2

Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.

-2x + 6 = 4x - 1

Isolate the like terms.

6 + 1 = 4x + 2x

Evaluate like terms.

6x = 7

Find x.

x = [tex]\frac{7}{6}[/tex]

x = 1[tex]\frac{1}{6}[/tex]

Substitute x = [tex]\frac{7}{6}[/tex] into Equation 2:

y = 4x - 1

y = 4([tex]\frac{7}{6}[/tex]) - 1

  = 4[tex]\frac{2}{3}[/tex] - 1

y = 3[tex]\frac{2}{3}[/tex]

The equation, y = 36/x, is an example of what kind of variation?
a.) direct variation
b.) inverse variation

Answers

Answer: Inverse variation

A cell phone plan costs $200 to start, then charges $50 per month to maintain the account. How much will you pay for x months of cell phone use?

How much money will you have paid (total) after 14 months of cell phone service?
NEED HELP ASAP DUUE AT 4:00 pm EST

Answers

Answer:

$900

Step-by-step explanation:

add 200 to 50 times 14

Answer:

900

Step-by-step explanation:

200+50(14)

200+700

900

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