Answers
Answer:
x=5
Step-by-step explanation:
Let's say the left side has points A, B, and C, with B in the middle, and the right side has points A, E, and D, with E in the middle
The Triangle Proportionality Theorem Converse states that if a line splits two sides of a triangle proportionally, the line is parallel to the remaining line.
Here, we can see that the sides are split into congruent lengths to each other, making their proportions 1:1. This proves the theorem converse, so 5x is parallel to 8x+10. Because the other two sides are connected to each other, with AB being a part of AC and AE being a part of AD, AB is parallel to AC and AE is parallel to AD. Given this, we can say that triangle ABE is similar to triangle ACD.
In a similar triangle, the lines corresponding to each other have the same ratio as other lines. This means that
AB/AC = AE/ED = BE/CD.
We are trying to find BE and CD to solve for x, and we can do this by finding the ratio between them
AC = AB + BC
BC = AB
AC = 2 * AB
AB / (2*AB) = BE / CD
1/2 = 5x/(8x+10)
multiply both sides by 2 to remove a denominator
1 = 10x / (8x+10)
multiply both sides by 8x+10 to remove the other denominator
8x+10 = 10x
subtract 8x from both sides to put the variable and its coefficients on one side
2x = 10
divide both sides by 2 to solve for x
x = 5
Related Questions
[tex] \huge \red{\boxed{ \colorbox{black}{ \color{gold}{question}}}}[/tex]
Need help~
[tex] \sqrt{3 + 3 + 3 + 3 + 3 + 3} [/tex]
Answers
Answer:
3√2
Step-by-step explanation:
First, combine all the numbers in the square root, and then square root the number provided:
√(3 + 3 + 3 + 3 + 3 + 3) = √18
When square rooting, first, find prime factors of the number, 18. If there are pairs, they will be combined into a whole number:
√18 = √(3 * 3 * 2) = 3√2
3√2 is your answer.
~
If f(x)=-4x+1, what is f(-x/2)?
Answers
Answer:
[tex]f(-\frac{x}{2})=-2x+1[/tex]
Step-by-step explanation:
[tex]f(x)=-4x+1[/tex]
[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]
[tex]f(-\frac{x}{2})=-2x+1[/tex]
I'll mark you brainlest if you answer this correctly please help
Answers
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Last year, a website had 40,000 visitors and this year there is 37,000 visitors what is the percent change of the visitors
Answers
Answer:
-7.5 %
Step-by-step explanation:
Percent change can be calculated as
(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.
Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer
help please anybody Mhm
Answers
Answer:
B
Step-by-step explanation:
Answer:
Your answer would be C
Step-by-step explanation:
Because its a ratio of integers with a nonzero denominator.
what is the value of 5/6 divded by 1/2 helpi am bad at math
Answers
Answer:
5/3 or 1 2/3
Step-by-step explanation:
when you multiply fractions, you must 'multiply by the reciprocal'
you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa
5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6
always reduced to lowest terms when you can . . .
10/6 equals 5/3
Answer:
1.6667 as a decimal
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
#1: Find the value of X. (GEOMETRY)
I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!
Answers
Answer:
x = 14
Step-by-step explanation:
1. We know that all angle measures in a triangle sum to 180 degrees.
This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.2. (Solving)
Step 1: Combine like terms.
[tex](7x+5x+2x)+(-11-2-3)=180[/tex] [tex]14x -16 = 180[/tex]Step 2: Add 16 to both sides.
[tex]14x - 16 + 16 = 180 + 16[/tex] [tex]14x = 196[/tex]Step 3: Divide both sides by 14.
[tex]\frac{14x}{14}=\frac{196}{14}[/tex] [tex]x = 14[/tex]Step 2: Check if solution is correct.
[tex]7(14)-11+5(14)-2+2(14)-3=180[/tex] [tex]98-11+70-2+28-3=180[/tex] [tex]180=180[/tex]Therefore, the answer is x = 14.
Please I need Help!!! Solve this equation by factoring by grouping x^2-4x=12. All work must be shown and no other method will be accepted.
Answers
x² - 4x = 12
x² - 4x - 12 = 0
x² + (2x - 6x) - 12 = 0
x² + 2x - 6x - 12 = 0
x (x + 2) - 6 (x + 2) = 0
(x - 6) (x + 2) = 0
Then the solutions are x = 6 or x = -2.
[1(23x5)]/2
Solve this questionssss
sdfghfght
Answers
Dividing a polynomial
Answers
Answer:
the answer is
Step-by-step explanation:
-7u⁶y²-5u³+3uy²
that is the correct answer trust me
Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19
X=?
Answers
But I have the answer for (x-intercept) X= -4/5 (y-intercept) F(0)=16
What is -2×-4 in mathematics
Answers
Answer:
8
Step-by-step explanation:
negative times a negative equals a positive
someone please help, will give branliest
consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?
A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20
Answers
pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answers
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
need help with this asap………
Answers
Answer:
y= 32
Step-by-step explanation:
HOPE THIS HELPS :)
What is the sum of 7/13 and 11/26? Please help!!
Answers
Answer:
The sum of 7/13 and 11/26 is 25/26.
Step-by-step explanation:
7/13 + 11/26
The common denominator is 26
7/13 *2/2 +11/26
14/26 + 11/26
25/26
Ayuda por favor, no entiendo
Answers
4^3*4^5*4=4^9 D
(3^3)^2=3^6 C
(a^3)^4*(a^2)^7=a^26 A
(2*3)^2=6^2=36 A
Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)
A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3
Answers
Answer:
ABE
Step-by-step explanation:
Perpendicular means the slope of the line and the answer are reciprocal to each other.
The slope of the line is -1/2, which means the slope of the answer should be 2.
From A we got: y=2x-1
B:y=2x
C:y=-2x+1
D:y=-1/2x-2
E:y=2x-3
So the answer is ABE
Find x. Round your answer to the nearest tenth of a degree.
Answers
Answer:
42°
Step-by-step explanation:
8 is the opposite
12 is the hypotenuse
We know from SOHCAHTOA to use sine
Since we are looking for the angle, we use sin^-1
sin^-1(opposite/hypotenuse)=x
sin^-1(8/12)=x
Input into calculator
x=42°
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the the side and related angle are always opposite to each other.
so,
12/sin(90) = 8/sin(x)
12/1 = 8/sin(x)
12 = 8/sin(x)
3 = 2/sin(x)
sin(x) = 2/3
x = 41.8103149...° ≈ 41.8°
Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel
Answers
Answer:
17.85 answer
Step-by-step explanation:
u add the following and the ans u get u take it away from 25
The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.
Given:
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,
Aliana has at most $25 to spend on the cab ride,
Write the equation as shown below,
The total charges of the taxi = flat rate + rate per mile × number of mile
The total charges of the taxi = 7.5 + x × 0.35
Here, x is the number of miles
The total charge should be equal to $25 or less than $25 then,
25 ≥ 7.5 + 0.35x
Solve for x
0.35x = 25 - 7.5
x = 17.5 / 0.35
x = 50 miles
Thus, she can travel a total of 50 miles.
To know more about inequality:
https://brainly.com/question/2038369
#SPJ6
Please help guys this is just domain and range
Answers
Answer:
Domain: (0,3)
Range: (0,1)
Step-by-step explanation:
Domain is the interval of the x-axis of the graphed function
Range is the interval of the y-axis of the graphed function
PLEASE HELP!
A park charges $16 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $51 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answers
Hope this helped
:D
Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade. Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups. Determine the number of small cups sold and the number of large cups sold.
Answers
Answer:
9485735
Step-by-step explanation:
Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour
Answers
Answer: $14.9/hr
Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour
Anna saved $20 in a jar each month for 2 1/2
years. She spent 75% of her savings on a computer. How much money did Anna have left in the jar?
Answers
Answer:
20*2.5=50
50*0.75=37.5
Hope This Helps!!!
Answer:270
Step-by-step explanation:
A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?
Answers
17 minutes
hope this helps!
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
Answers
hellpppppppppppppppp
Answers
Answer:Its probably c
Step-by-step explanation:
Answer:
Future Farmers of America
Step-by-step explanation:
noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?
Answers
Answer:
112
Step-by-step explanation:
How do I graph 2x-3?
Answers
at would be -3!!
hope this helps!!!