Answers
Given:
A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.
To find:
The value of x.
Solution:
From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.
Length of altitude = 18
If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.
By using geometric mean theorem, we get
[tex]18=\sqrt{x\times 8}[/tex] [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]
[tex]18^2=8x[/tex]
[tex]324=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{324}{8}=x[/tex]
[tex]40.5=x[/tex]
Therefore, the value of x is 40.5.
Related Questions
There are 12 inches per foot. How many feet is 96 inches? Enter only the number.
Answers
Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]
[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]
[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]
[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]
[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]
[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]
[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]
[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]
[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]
[tex]\mathsf{3 + 5 = 8}[/tex]
[tex]\mathsf{2\ \& \ 2=2}[/tex]
[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]
[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Explain the steps you could use to solve 3y + 6 = 30 to find y
Answers
Answer:
3y+6-6=30-6 (subtract 6 from both sides)
3y=24 (simplfy by subtracting those numbers)
3y/3 = 24/3 (divide both sides of the equation)
y=8 (simplfy by divding with those numbers)
Step-by-step explanation:
Hope this helps :)
Answer:
3y+6-6=30-6
Step-by-step explanation:
f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)
Answers
F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Answer:
45
4/5
Step-by-step explanation:
khan academy
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answers
14x4=56*-32*=24*
from E to B is 180 degree so take 180-24=156*
angle EMQ is equal to angle DMB so=156 degree
answ=156what is 2838 divisible by?
Answers
Answer:
have calculated all the numbers that 2838 is evenly divisible by. The numbers that 2838 is divisible by are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, and 2838. You may also be interested to know that all the numbers that 2838 is divisible by are also known as the factors of 2838.
Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?
Answers
Answer:the answer is 6,012 after 7 years
Step-by-step explanation:
i just took the quiz
determine the missing angle
Answers
Answer:
180-77
Step-by-step explanation:
adjacent angles are supp
Answer:
103° | See Attached Image
Step-by-step explanation:
The angle opposite of 77° is vertical (it makes an X, therefore the angles are equal.)
The corresponding angle to the vertical of 77° is also equal to 77°.
X is supplementary to the previously mentioned angle, so it adds up to 180°.
180 - 77 = 103°
Pls help will mark brainliest
Answers
Answer:
750
Step-by-step explanation:
I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail
Answers
Answer:
yes I can try to help you what I can
WORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples.
Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Solution. Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.
Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.
2x = 42 + 14 (Lesson 9)
= 56.
x = 56
2
= 28.
The blouse cost $28.
Example 2. There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
Solution. Again, let x represent the unknown number that you are asked to find: Let x be the number of girls.
(Although b is not known -- it is an arbitrary constant -- it is not what you are asked to find.)
The problem states that "This" -- b -- is three more than four times x:
4x + 3 = b.
Therefore,
4x = b − 3
x = b − 3
4 .
The solution here is not a number, because it will depend on the value of b. This is a type of "literal" equation, which is very common in algebra.
Example 3. The whole is equal to the sum of the parts.
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Solution. In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 84:
word problem = 84
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 84 − 12
= 72.
x = 72
2
= 36.
This is the first number. Therefore the other number is
x + 12 = 36 + 12 = 48.
The sum of 36 + 48 is 84.
Example 4. The sum of two consecutive numbers is 37. What are they?
Solution. Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1
= 36.
x = 36
2
= 18.
The two numbers are 18 and 19.
Example 5. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Solution. Let x be the smaller number.
Then the larger number is 10 more: x + 10.
The problem states:
2x + 3(x + 10) = 55.
That implies
2x + 3x + 30 = 55. Lesson 14.
5x = 55 − 30 = 25.
x = 5.
That's the smaller number. The larger number is 10 more: 15.
If each of the numbers in the following data set were multiplied by 26, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36
O A. 728
OB. 520
O C. 936
O D. 676
Answers
Answer:
Step-by-step explanation:
728 answer is C
What is the value of x?
Answers
Answer:
98°
Step-by-step explanation:
x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
x = 98°
4. What expression represents the width of the room?
Answers
Answer:
35-4
Step-by-step explanation:
Answer:
Let x = represents the width
m.
Step-by-step explanation:
hope that helps -w-
If 8 students want to share 62 gallons of water for a water balloon fight,
how many gallons of water should each student get?
Answers
Answer:
Each student should get 7:75 gallons of water
Step-by-step explanation:
Do 62 divided by 8
Tres croissants y dos ensaimadas nos ha costado 6,10Є si recordamos que el precio ce una ensaimada es 0,30Є más caro que el de un croissant. ¿cual es el precio de una ensaimada y cual es de un croissant?
Answers
Answer:
Step-by-step explanation:
3c + 2e = 6.10
e = c + 0.30
3c + 2(c + 0.30) = 6.10
5c + 0.60 = 6.10
5c = 5.50
c = 1.10 Є
e = c + 0.30 = 1.40 Є
What is mArc SU?
49°
77°
98°
161°
Answers
Answer:
77°
Step-by-step explanation:
By the property of intersecting tangent and secant outside of a circle:
[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]
The mArc SU is option (B) 77 degrees
What is Tangent?A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
What is secant ?A secant is a line that intersects a circle in exactly two points.
Here,
By the property of intersecting tangent and secant outside of a circle:
[tex]T=\frac{1}{2}(RU-SU)[/tex]
Here
T= 21 degrees
RU is the mArc RU = 119 degrees
Then,
[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]
SU = 77 degrees
Hence, the mArc SU is option (B) 77 degrees
Learn more about Tangent and secant here
https://brainly.com/question/15178974
#SPJ2
What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm
Answers
Answer:
Step-by-step explanation:
WASSUP
Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, g, to the time, t.
Does the relationship represent a linear function 2 Justify your response
Answers
Answer:
D
Step-by-step explanation:
Answer:
22 and 500 and 23
Step-by-step explanation:
!Please Help !
Find the volume of this cylinder
Answers
Answer:
volume of cylinder= pie × radius square× height
= 22/7×4×20
=1760/7
=251.42cm
Answer:
using 3 for pi it's V = 960cm^3
Step-by-step explanation:
R is the radius, which as stated, is half the diameter.
r = 8cm / 2 = 4cm
H is the height, which is shown to be 20cm
h = 20cm
V = pi*r^2*h
V = pi*(4cm)^2*20cm
substituting 3 for pi as requested.
V = 3*(4cm)^2*20cm - 3 * (16cm^2) * 20cm = 48cm^2 * 20cm = 960cm^3
which inequality represents all values for x for which the quotient below is defined? square root of 8x squared divided by the square root of 2x
Answers
for what value of x is JKLM a parallelogram?
help i’ll give brainliest
Answers
Answer:
Step-by-step explanation:
21
Is Figure B a scale copy of Figure A?
2.8
2.8
4
Figure A
10
10
16
Figure B
Choose 1 answer:
Answers
Answer:
no
Step-by-step explanation:
19+7 divided by 2 - 5 with brackets to equal 8?
Answers
Answer:
8
Step-by-step explanation:
Given that
19 + 7 divided by 2 - 5
So if we solve this we have to apply proper brackets
= (19 + 7) ÷ 2 - 5
= 26 ÷ 2 - 5
= 13 - 5
= 8
After solving this the answer is 8
Can someone tell me
How to solve this and a explanation?
Answers
Answer:
C
Step-by-step explanation:
Okay so on Saturday there is a 30% sale plus she comes early so +10% and that makes 40% off.
10% of 400=40
multiply by 4 to get 40%, 40*4=40%
40%=160
400-160=240
Hope this helps
400 x 0.30 = 120
400 - 120 = 280
280 x 0.10 = 28
280 - 28 = 252
So 252 is you answer.
i’ll give brainliest, just help me please : )
Answers
Rectangle Area = lw = 24(6.5)= 156
Just add them up to get 288cm squared :)
PROOFS !! help me fill in the blanks
Answers
Answer:
this making ur email.... I think we shouldn’t be doing this. People can get into ur account .
‘Anyways, all u need to do is put ur real first name, last name, make a password THAT NO ONE SHOULD KNOW, confirm it again, and make ur email. DONT SHARE INFO WITH OTHERS
What is Your Budget?
Task 2
Directions:
You are offered a job with a starting annual salary of $50,000 and two options for
determining your annual raise:
Option 1: An annual raise of $3,000 per year.
Option 2: A 5% raise each year.
Answers
I just failed algebra for the third time someone help pls
Just tell me what to do
Answers
Answer:
study lol
Step-by-step explanation:
Monica deposits $100 into a savings account that pays a simple interest rate of 3.8%. Paul
deposits $200 into a savings account that pays a simple interest rate of 2.5%. Monica says that
she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your
response
Answers
Answer:
Paul
Step-by-step explanation:
Paul earn more than monica. Though he is getting less interest but because of his higher initial amount he is getting more return.
Computing the return of both
Monica return is 100*3.4%= $3.4 in a year
Paul return is 200*%2.2= $4.4 in a year.
Answer:
3.3
multiply all the number in pairs then you have to add both number 3.3
Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9
Answers
Answer:
x≥ -5
Step-by-step explanation: