In a pair of similar triangles, the corresponding sides are proportional. ... When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number. In the diagram of similar triangles the corresponding sides are the same color.
( if this is wrong I apologize)
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
8. An car can hold 8 1/4 gallons of fuel. It contains 4 5/6 gallons of fuel. How
much more fuel is needed to fill the car?
Answer:
3 5/12
Step-by-step explanation:
Answer:
41/12 gallons
= 3 5/12 gallons
Step-by-step explanation:
Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.
You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.
8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.
Then 4 5/6 becomes 29/6 with the same concept earlier.
So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.
33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.
29/6 becomes 58/12 because we multiplied the fraction by 2/2.
Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.
Since we have 99/12 and 58/12, we can subtract cleanly into
99 - 58 = 41
So the answer is 41/12
Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the commission for the month?
Answer:
$11,200
Step-by-step explanation:
Just multiply the percent times the total
8% * 140000 = .08 * 140000 = 11200
Can someone help me solve for X
Step-by-step explanation:
You can apply the power of point to this problem. Essentially, it states that:
[tex]5\cdot12=2\cdot(2+x)\\30=2+x\\x=28[/tex]
I NEED HELP ASAP WITH WORK SHOWN PLEASE GIVE ME AN ANSWER WITH WORK SHOWN Multiple choice questions The answers are 2.26,1.15,2.99,3.41
Step-by-step explanation:
porportional means they scale by the same ratio
L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x
solve for x
Answer:
Not sure but heres the proportional factor.
Step-by-step explanation:
The image is blurry and is hard to make out what the number for width is. However you can find the proportionality factor between the phones by dividing the large phone height by the small phone height. So 6.21in/5.4in, you get 1.15in, this means that the larger phone is 1.15in bigger than the smaller phone. Apply this number to the width and you will find the width of the larger phone since both phones are proportional. So you do width × 1.15 to get the width of the larger phone.
Ill mark you brainlist plz help if you put something random I will report you!
Answer:
3 is the common difference
The next term in the sequence would be 5
Answer:
:)
Step-by-step explanation:
[tex]-10, -7, -4, -1, 2, 5,[/tex]
Common difference = +3
Next term = 2 + 3 = 5
Find the value of x in Oo
12
X
10
X
(Simplify your answer.)
Enter your answer in the answer box and then click Check Answer
All parts showing
Clear All
Answer:
x = 8
Step-by-step explanation:
To get x, we will use the pythagoras theorem;
10² = x² + (12/2)²
100 = x² + 6²
100 = x² + 36
100 - 36 = x²
64 = x²
Swap
x² = 64
x =√64
x = 8
Hence the value of x is 8
Find the value of x
Use sin, cos, or tan
=========================================================
Explanation:
We use cosine to tie together the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(38) = x/21
21*cos(38) = x
x = 21*cos(38)
x = 16.5482258257411
x = 16.5
How many feet are in 60 yards
Answer:
180
Step-by-step explanation:
See the image below:)
15 x (-16) x(-23) x(-1)
Answer:
-207
Step-by-step explanation:
assume the answer is x
x=15*-16*-23*-1
=-240+23
=-207
answer:
−5520x³
step by step explanation:
15 x ( − 16 ) x ( − 23 ) x ( − 1 )
= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )
= − 5520 * x³
= − 5520x³
Question 1
Solve: 2x2 - 4x - 3 =0
Question 2
Solve: x(x - 2)= 4
Question 3
Solve: 9x2 + 12x +4 = 0
Question 4
Solve: x2 + 2x = 1
I’ll give brainiest pls help ASAP
Answer:
[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]
What is the 6th term of the geometric sequence?
3,6, 12, 24, ...
A. 36
B. 27
C. 48
O D. 96
Answer:
96 is the 6th term of the geometric sequence
Step-by-step explanation:
The sequence is just adding the number twice to get the nect sequence.
So,
3+3 = 6
6+6 = 12
12+12 = 24
24+24 = 48
48+48 = 96 this is the 6th term
Hope this is helpful
What is the fraction between 6/4 and 7/4 when subtracted
Answer:
-1/4
Step-by-step explanation:
we always keep the denominator the same if they are the same number and I just subtracted the numerator
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints?
Answer question 1 in the image
Answer:
The student is correct
Step-by-step explanation:
It has the numbers next to letter with a power so nit dose have a three term degree.
how many solutions does -3x+12-9x+8=-3(4x-7)
Answer:
-3x+12-9x+8=-3(4x-7)
-3x+12-9x+8=-12x+21
-12x+21=-12x+21
21=21
infinitely many solutions
hope this helps
have a good day :)
Step-by-step explanation:
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
-3x + 12 - 9x + 8 = - 3(4x - 7)
Simplify the equation, then we have
- 3x + 12 - 9x + 8 = -3(4x - 7)
- 12x + 20 = - 12x + 21
12x - 12x = 1
(0) x = 1
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ3
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
Will give brainliest and 15 points
Statistics & Data
For this data set, there is an outlier. The outlier is four.
This is representing a small number of assignments required in math class that month.
This means that the correct answer is B.
Answer:
B
Step-by-step explanation:
The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.
If you think I missed something or made a mistake, please let me know.
I need help answering this question
will mark brainliest if answer correctly
6. C. Given
7. C. L is the midpoint of EM
8. .D . Definition of midpoint
9. B . < FLE= <ALM
10. C .ASA Postulate
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answer:
hypotenuse is the correct answer
Answer: A) hypotenuse
Step-by-step explanation: I need two more brainliest for the next rank I’d appreciate it
What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?
The answer is (-1,-3)
All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.
How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.
Answer:
C
Step-by-step explanation:
The graphs are reflected across the y-axis.
PLEASE HELP!!!!
Pythagorean Theorem
Answer:
Pythagorean Theorem is A^2+B^2=C^2
Step-by-step explanation:
URGENT!!!
Select the correct answer.
A population has a standard deviation of 25.29. What is the approximate standard error of the mean for a sample size of 175?
The answer is 1.91 but can someone show me how they got that answer?
Will mark brainliest
Answer:
Standard error of the mean: 1.91
Step-by-step explanation:
The standard error of a sample mean is [tex]SEM=\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] is the sample standard deviation and [tex]n[/tex] is the sample size. Therefore, the standard error of the mean for a sample size of 175 is [tex]SEM=\frac{\sigma}{\sqrt{n}}=\frac{25.29}{\sqrt{175}}=1.911744304\approx1.91[/tex]
Guys i need a little help pls ( 10 points )
Answer:
A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.
Step-by-step explanation:
10÷50=.20
please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou
Answer:
No, because the longest side is too short to be the hypotenuse of a right triangle.
Step-by-step explanation:
To see if the sides form a right triangle
6² + 8² = 9²
36 + 64 = 81
100 ≠ 81
The the 3rd side is too short
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP!
Find the surface area and the volume of the solid
Answer:
50 is the surface area
Step-by-step explanation:
Jayden is going to see a movie and is taking his 3 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3 each. How much total money would Jayden have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Jayden have to pay if he bought xx snacks for everybody to share?
Answer: Total price to pay with 4 snacks = $48
Total price to pay with x snacks =36+3x
Step-by-step explanation:
Given: Jayden is going to see a movie and is taking his 3 kids.
Each ticket cost = $12
Cost of all tickets = 3 x $12
= $36
Price for each snack = $3
Price for 4 snacks = $3 x 4
= $12
Total price to pay = Cost of all tickets + price of all snacks
Total price to pay with 4 snacks = $(36+12)
= $ 48
Price for x snacks = $3x
Total price to pay with x snacks =36+3x