Find x in triangle ABC using geometric means.
Given:
The figure of a right angle triangle.
To find:
The value of x using geometric mean.
Solution:
According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then
[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]
Let attitude from A touches the hypotenuse at point D.
Using this in the given triangle, we get
[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]
[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]
[tex]12\times 3=x^2[/tex]
[tex]36=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{36}=x[/tex]
[tex]\pm 6=x[/tex]
Side cannot be negative. Therefore, the only value of x is 6.
How many different ways can you have 50¢ in change using only quarters, dimes and nickels?
A. 1
B. 4
C. 10
D. 15
PLZ help!
Answer:
Answer vary :
C. 10
Step-by-step explanation:
at least in my opinion I think so.
Answer:
C i think
you can you use 10 nickels
Need help will give thanks and brainliest
Answer:
[tex]y=\frac{2}{3} x-1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)
1) Find the slope of the line (m)
The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (3,1) and (6,3)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]
Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:
[tex]y=\frac{2}{3} x+b[/tex]
2) Find the y-intercept of the line
To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):
[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]
Subtract both sides by 2 to isolate b
[tex]1-2=2+b-2\\-1=b[/tex]
3) Plug m and b into y=mx+b
[tex]y=\frac{2}{3} x-1[/tex]
I hope this helps!
Look at the pic try to show ur work for those equations the best u can I’ll give you the brainly thing who ever does the best
4. You buy a video game and pay for it with a $50 bil. Write an expression that can be used to find out how much change you shoud receive.
Answer:
[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]
Step-by-step explanation:
Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .
So , let us take that the video game costs x . There can be two cases .
★ Case 1 :-
When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .
[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]
[tex]\rule{200}2[/tex]
★ Case 2 :-
When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .
If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,
[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]
Una cámara de refrigeración industrial tiene una temperatura de 2°C disminuye su temperatura a razón de 4°C por minuto ¿cuantos minutos le toma llegar a -18°C?
Answer:
Tarda 5 minutos
Step-by-step explanation:
En un minuto baja a -2°C, en dos minutos baja a -6°C, en tres minutos baja a -10°C, en cuatro minutos baja a -14°C, en cinco minutos baja a -18°C
ESPERO TE AYUDE ;)
1) A craftsman makes 40 items in 8 hours. How many
hours will he take to make 75 items?
Answer:
15 hours
Step-by-step explanation:
40/8 = 75/x
40x = 600
x = 15
Answer:
About 15
Step-by-step explanation:
40 items/8 hours = 5 items per hour( his rate)
75 items/ 5 items per hour= 15 hours
At his rate it will take him about 15 hours to make 75 items
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
PSLS S S S S S S S s s s. Ss s s s s
Answer:
80
Step-by-step explanation:
5x2x8=80
Answer:
volume= 8*2*5
=80cube
Answer 2,3,and 4
I really need help
thx
Answer:
where is the thing to answer
Answer:
Ok im going on your page to see the question
The radius of a circular clock is 10.5 inches. Which measrement is closest to the circumference of the clock in inches
Answer:
65.9734457254 or 65.97
Step-by-step explanation:
c= pi x diameter
c= pi x (10.5 x 2)
c= pi x 21
= 65.9734457254
Answer:
66 in approx
Step-by-step explanation:
Given data
Radius= 10.5 inches
The circumference is given as
C= 2πr
Substitute
C=2*3.142*10.5
C=65.982
Hence the Circumference is 66 in approx
What is the measure of the indicated angle ?
Answer: this is easy put attention to your teacher
Step-by-step explanation:
If tax
The ticket price of an item is $14.99.
is 4.5%, what is your total?
Answer: 15.66
Step-by-step explanation:
Solve equation 3(x+5)=36
Answer:
x = 7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
3x+15=36
-15 -15
3x=21
x=7
The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)
Answer:
$114.80
Step-by-step explanation:
108 increase 6.3% =
108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804
Substitute the values of x and y into the expression -3x^2+ 2y^2 + 5xy - 2y + 5x^2 - 3y^2. Match that values to one of the numbers.
1. x = 0.5, y = -1/10
2. x = -1, y = -3
3. x = ¾ , y = ⅖
4. x = 0, y = 2.5
5. x = √2, y = √2
6. x = 2, y = -1
A. -11.25
B. 0.44
C. 14
D. -1
E. 9.17
Answer:
c
Step-by-step explanation:
try calculator and see which fits
Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9
Answer:
x>-6
graphing (-6,0)
Step-by-step explanation:
3-5x<-4x+9-- Add 5x to -4x
3<x+9--- subtract 9 from both sides
-6<x
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
what is the missing variable
Answer: x= 18
Step-by-step explanation: these are corresponding angles which means they are equal.
(4x-7) = (7x-61)
-7 = 3x -61
54 = 3x
18 = x
Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
(2, -12)
Step-by-step explanation:
Answer:
(2, -12)
Step-by-step explanation:
(x, y ) = (0, -8)
2 units right = +2 units to the x-coordinate
4 units down = -4 from the y-coordinate
(0+2, -8-4)
= (2, -12)
Willa bought 5 tops that cost $72 after she applied a $20-off coupon. The tops all cost the same amount. Which equation can be used to find the cost in dollars of each top?
Answer:
14.40 dollars
Step-by-step explanation:
72 divided in 5
PLEASE HELP! GIVING POINTS :)!
Answer:
56 square feet
Step-by-step explanation:
If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.
You end up with one rectangle that is
8x4
and a second thats
4x6.
The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)
Thus
32 + 24 = 56 square feet
Answer:
32 + 24 = 56 square feet
everything is above
Answer:
at week 5 the higth is 6.5
Step-by-step explanation:
What is 26% of $3,000
what is a axe on a graph?
Answer:
Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.
Step-by-step explanation:
Help pls (pls dont write absolute nonsense on here pls i really need help)
PLS HELP ILL GIVE BRAINLIEST!!
Answer:
y = -7/2x - 7
Step-by-step explanation:
let me know if you need the steps . . .
You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answer:
9 1/3 feet (I think)
Step-by-step explanation:
I imagined it as a grid.
Your friend moves to point (16,12)
You move to point (-12,9)
Then you set up your equation and solve.
[tex]\frac{16 + 12}{12-9}[/tex]
[tex]\frac{28}{3}[/tex]
9 1/3
Hope this helps :)
A $830 iphone has a 20%
discount. The tax rate is 7.5%.
What is the final price of the
phone including tax?
Answer:
$614.2
Step-by-step explanation:
Um I just calculated it. I'm in Algebra 2 so it's light work
What is the 11th term of the sequence: 7, 13, 19, 25, ....
pattern is adding 6
so the 11th would be 67