Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4
and DC = 9, what is the length of BD? (Note: the figure is not drawn to scale.)

Answers

Answer 1

Answer:

BD = 6

Step-by-step explanation:

Theorem:  The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.

So, [tex]\frac{4}{BD} = \frac{BD}{9}[/tex]

[tex]BD^{2} = 36[/tex]

BD = 6

See how easy that is IF you know the theorem.


Related Questions

If f(1)=6 and f(n)=f(n-1)+2 then find the value of f(6)

Answers

Answer:

Step-by-step explanation:

Answer:

f(6) = 16

Step-by-step explanation:

In the next steps we use this formula : f(n)=f(n-1)+2 

Since f(1)=6 then f(2)=f(2-1)+2 = f(1)+2 = 6+2 = 8

         f(2)=8 then f(3)=f(3-1)+2  = f(2)+2 = 8+2 = 10

         f(3)=10 then f(4)=f(4-1)+2  = f(3)+2 = 10+2 = 12

        f(4)=12 then f(5)=f(5-1)+2  = f(4)+2 = 12+2 = 14

        f(5)=14 then f(6)=f(5-1)+2  = f(4)+2 = 14+2 = 16.

Help quick please I’m timed

Answers

Answer:

Midpoint.

It is equidistant.

Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?

Answers

Answer: B or C sorry if its wrong

Step-by-step explanation: have a nice day

GIVING BRAINLIST
Percents to decimals.
What is 3.22 changing it to a decimal

Answers

Answer:

if it is 3.22% then the answer is 0.0322

3.22 ÷ 100 = 0.0322

hope this answer will help you

have a great time

Answer:

0.0322

Step-by-step explanation:

LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?

A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)

Answers

Answer:

B

Step-by-step explanation:

The new position of point P (h, k) will become P’ (k, -h).

Answer:

The answer above me is INORRECT!!! Look below!!!

Step-by-step explanation:


The parallelogram whose diagonals are equal in length and not perpendicular is
called
(a) square
(b) rectangle.
(d) straight.
(c) rhombus.
(d) trapezium

Answers

Answer:

Rectangle.

Step-by-step explanation:

If the diagonals are equal then the parallelogram is a rectangle. They are also equal in length in a square, which can be regarded as a special type of rectangle - but in this case the diagonals are perpendicular. They are also perpendicular in a rhombus.

what is a correct name fo the angle shown. R S RTS SRT

Answers

The answer to this is SRT

need help for geometry question

Answers

Answer:

Step-by-step explanation:

sin^-1 (21/67) = 18.27 degrees

√(67)^2 - (21)^2 = 63.62

Determine the domain and range of each graph use inequalities to write your answer.​

Answers

Answer: Domain is all real numbers. And the range is [ − 4 , ∞ ) ,

{ y | y ≥ − 4 }

Step-by-step explanation:

Answer:

Domain: R   Range: y≥-4

Step-by-step explanation:

Please find the area of of the shaded polygon

Answers

Answer:

i think it might be 15... im not sure, im not good at math but im good with finding the answers to these type of problems

Step-by-step explanation:

hope this helps

Pam bought 20 pieces of fruit for her class.
o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answers

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

Suppose Z varies directly with X and inversely with Y where X equals 3Y equals one and Z equals six what is the value of Z when X equals seven and why equals four

Answers

Answer:

k = 2

Z = 3.5

Step-by-step explanation:

Z = kX/Y

Where,

X = 3

Y = 1

Z = 6

Find k

Z = kX/Y

6 = k3/1

Cross product

6 * 1 = 3k

6 = 3k

k = 6/3

k = 2

what is the value of Z when X equals seven and why equals four

X = 7

Y = 4

Z = ?

k = 2

Z = kX/Y

= (2*7)/4

= 14/4

= 3.5

Z = 3.5

-1 3/8 as a decimal number?

Answers

Answer:

-1.375

Step-by-step explanation:

this needs to be 20 characters long

Answer:

-1.375

Step-by-step explanation:

Can someone please give me the answer I’m giving brilliant for correct answer

Answers

Answer:

the last one (1,2)

Step-by-step explanation:

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

Answer:

C (-1,-2)

Step-by-step explanation:

The fourth vertex should be on the same Y value as the 2nd vertex and the same X value as the 3rd vertex so it should be (-1,-2)

can anyone help me on that question too its math plsss​

Answers

Answer:

2x= 40°

5x= 100°

Step-by-step explanation:

2x on opposite angle because it is an isosceles triangle

2x+ 2x+ 5x = 180° (angles of a triangle)

9x= 180

x= 180/9

x= 20°

Sub

2(20)= 40°

5(20)= 100°

Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg ​

Answers

Answer:

[tex]\%Change = -40\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 6.5kg[/tex]

[tex]Final = 3.9kg[/tex]

Required

Determine the percentage change --- Missing from the question

This is calculated as

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-260}{6.5}\%[/tex]

[tex]\%Change = -40\%[/tex]

Custom drapes are being fitted for a large circular
window. It is difficult to get these measurements, but the
window has an 8 ft horizontal shelf with a 2 ft brace that
sits in the frame. If the brace is extended upward, it
would go through the center of the shelf and the circle.
What is the diameter of the window?
Diameter =
feet

Help please

Answers

The diameter is 17ft
the answer is 17!
have a good day :)

Find the area of the shaded region, in each figure. (Use N= 3.14)

Answers

Answer:MY BUTT

Step-by-step explanation: WHY ARE U WAITING FOR OTHERS TO ANSWER YOUR QUSTION

what is the constant proportionality of y=5x
a. 5
b. -5
c. -1/5
d. 1/5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The Answer is a

Step-by-step explanation:

General equation of direct variation: y = kx, where k is the constant of proportionality. y = 5x, so 5 is the constant of proportionality

What percent of 30 is 5? Round your answer to the nearest tenth

Answers

Answer:

16.7

Step-by-step explanation:

pretty please help me!!! i’ll mark brainliest! i tried putting this at 13 points!

Answers

Answer:

m∠T = 54°

Step-by-step explanation:

The measure of a straight line is 180°. (Linear angles theorem)

So, m∠WMT + 117° = 180°

m∠WMT = 180 - 117 = 63°

The base angles in an isoceles triangle are equal in measure (base angle theorem)

So,

m∠MWT = m∠WMT

m∠MWT = 63°

The sum of angles in a triangle is 180°. (Sum of angles in a triangle theorem) So,

m∠MWT + m∠WTM + m∠WMT = 180°

Substitute the measures we already found.

63 + m∠WTM + 63 = 180

Simplify.

126 + m∠WTM = 180

m∠WTM = 54°

m∠T = 54°

I hope this helps! Feel free to ask any questions!

Answer:

54°

Step-by-step explanation:

First calculate Angle WMT as: 180° - 117° = 63°

And note that Angle WMT = Angle MWT = 63°

Therefore, Angle T = 180° - 63° - 63°

Angle T = 54°

Help please aaaaaaaa​

Answers

Answer:

the first answer is 7 the second is 2

Step-by-step explanation:

to slove plug in a variable in the blank space.

5(a/8)<5

divide both side by 5

a/8 <1

a=7

7/8 <1

-

the same method can be used for the second 6(2/a)=6

divide by 6

2/a=1

a=2

please show all work i’ll mark brainliest

Answers

Answer:

a) P = 26 cm

b) A = 36 cm²

Step-by-step explanation:

perimeter is sum of all sides: 6+4+2+3+4+7 = 26

Area can be found by taking entire area, 7x6, then subtracting out the area of the missing piece, 2x3

A = 42 - 6 = 36 cm²

Answer:

Area is 36 and Perimeter is 26

Step-by-step explanation:

solving area:

4x6=24

3x4=12

24+12=36

solving perimeter:

6+4+2+3+4+7= 26

Willard F. Libby received his undergraduate degree from
.

After he completed his graduate work, he became a professor at
.

In 1960, he won a Nobel Prize in

Answers

Answer:

Berkley

Step-by-step explanation:

After he completed his graduate work, he became a professor at Berkley.

Answer:

Willard F. Libby received his undergraduate degree from

✔ University of California, Berkley

.

After he completed his graduate work, he became a professor at

✔ University of California, Berkley

.

In 1960, he won a Nobel Prize in

✔ chemistry

.

Step-by-step explanation:

HELP ME PLEASE
bsjsudhdhehe​

Answers

The lines cross at a single point so there is a single solution (A)

Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1

Answers

Answer:

1 1/2

Step-by-step explanation:

plsss help meee in math :(((​

Answers

Answer:

a = 30

2a = 60

3a = 90

Step-by-step explanation:

3a + 2a + a = 180 ( Sum of angles of a triangle is 180)

6a = 180

a = 180/6

a = 30

2a = 2 x 30 =60

3a = 3 x 30 = 90

Is 4 to 7 the same as 7 to 4? Explain why or why not.

Answers

Answer:

In math, 4 to 7 = 4/7and 7 to 4 = 7/4so they are NOT equal.

Step-by-step explanation:

find the errors and correct the following mathematical sentences:​

Answers

Answer:

You are supposed to correct the equation here not solve it.

During free throw practice, Michael made 52 out of 80 free throw
attempts. What percent of the free throws did he make? *

Answers

Answer:

65%

Step-by-step explanation:

[tex]\frac{52}{80} \times 100=65[/tex]

The answer is 65% because 52/80= 26/40 = 13/20
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