The length of a segment is the number of units on the segment.
The ratio of line segment AC to line segment BC is 3 : 1
The coordinate points are given as:
[tex]\mathbf{A = (3,8)}[/tex]
[tex]\mathbf{B = (15,9)}[/tex]
[tex]\mathbf{C = (21,9.5)}[/tex]
The length of each segment will be calculated using the following distance formula
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{AC = \sqrt{(3 - 21)^2 + (8 - 9.5)^2}}[/tex]
[tex]\mathbf{AC = \sqrt{326.25}}[/tex]
Also, we have:
[tex]\mathbf{BC = \sqrt{(15 - 21)^2 + (9 - 9.5)^2}}[/tex]
[tex]\mathbf{BC = \sqrt{36.25}}[/tex]
The ratio of AC to BC is represented as:
[tex]\mathbf{AC : BC = \sqrt{326.25}:\sqrt{36.25}}[/tex]
Divide through by [tex]\sqrt{36.25[/tex]
[tex]\mathbf{AC : BC = \sqrt{9} : \sqrt{1}}[/tex]
Evaluate square roots
[tex]\mathbf{AC : BC = 3 : 1}[/tex]
Hence, the ratio is 3 to 1
Read more about line segments at:
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Your cell phone plan costs $24.99 per month plus $0.13 for each text message you send or receive. You have at most $28 to spend on your cell phone bal. What is the maximum number of text messages that you can send or receive next month?
please explain your answer and dont give me any websites thanks
Answer:
1001 y
Step-by-step explanation:
Answer:
y=125º
Step-by-step explanation:
135+x=180 180-135=x 45=x
180-100=80
80+45+x=180 100=x+45 55=x
interior angles are 45,80,55
180=y+55
125=y
The manager of animal shelter is hoping to raise more than $11,000 for required repairs to the building. The city has agreed to donate $3,500. The manager is going to conduct an e-mail campaign asking individual donors for $25 each.
Which statements are TRUE regarding this situation? Select all that apply.
A. The number of donors, d, can be represented as 25d + 3, 500 > 11, 000 .
B. The number of donors, d, can be represented as 25d > 14, 500 .
C. The number of donors, d, can be represented as d > 300 .
D. The number of donors, d, must be no more than 300.
E. The number of donors, d, must be more than 300.
Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13) (4y + 7)º (3x - 8) (5x - 12)
The sum of angles in a parallelogram adds up to 360 degrees
The values of x and y are 25 and 15, respectively.
The angles are given as:
[tex]\mathbf{\angle 1 = 4x + 13}[/tex]
[tex]\mathbf{\angle 2 = 4y + 7}[/tex]
[tex]\mathbf{\angle 3 = 3x - 8}[/tex]
[tex]\mathbf{\angle 4= 5x - 12}[/tex]
The opposite angles of a parallelogram are equal.
So, we have:
[tex]\mathbf{4x + 13 = 5x - 12}[/tex]
Collect like terms
[tex]\mathbf{5x - 4x = 13 + 12}[/tex]
[tex]\mathbf{x = 25}[/tex]
Simiarly, we have:
[tex]\mathbf{4y + 7 = 3x -8}[/tex]
Substitute 25 for x
[tex]\mathbf{4y + 7 = 3 \times 25 -8}[/tex]
[tex]\mathbf{4y + 7 = 75 -8}[/tex]
[tex]\mathbf{4y + 7 = 67}[/tex]
Subtract 7 to both sides
[tex]\mathbf{4y = 60}[/tex]
Divide both sides by 4
[tex]\mathbf{y = 15}[/tex]
Hence, the values of x and y are 25 and 15, respectively.
Read more about quadrilaterals at:
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f(x)=8x+5
f(x)=21
find x
Answer:
[tex]f(x) = 8 x + 5...(1) \\ f(x) = 21...(2) \\ (1) = (2) \\ 8x + 5 = 21 \\ 8x = 21 - 5 \\ 8x = 16 \\ x = \frac{16}{8} = 2 \\ x = 2 \\ thank \: you[/tex]
Answer:
[tex]f(x) = 8x + 5 \\ f(x) = 21 \\ 8x + 5 = 21 \\ 8x = 21 - 5 \\ 8x = 16 \\ x =\frac{16}{8} \\ \boxed{x = 2}[/tex]
x = 2 is the right answer.Someone plz help me :(
Answer: 6 feet
Step-by-step explanation: 12 x6 =72 or 72/12 =6
please explain your answer and dont give me any websites thanks
Answer:
8
Step-by-step explanation:
Someone lease help. Please actually do the problem, don’t just answer nonsense
Answer:
5 and 1
Step-by-step explanation:
for the first one, replace x with 2 and then do 6-1=5
for the second one replace x with 1. 1 to the second power is 1
5/6 +1 1/3 + 1/2 please help
Answer:
2 2/3
Step-by-step explanation:
Stanley has$200 in a savings account that earns 5%interestperyear.Theinterestisnotcompounded.Howmuchwillhehaveintotalin1year?
Answer: He will get 10$ in interest, so 210$ in total.
Mom is getting food ready for my birthday party! Including
me, there will be 24 people at the party. Mom is baking
cupcakes for us! She can bake 16 cupcakes per batch.
How many batches should I tell Mom to make so we can
each have 4 cupcakes?
Answer:
6 batches
Step-by-step explanation:
24 people x 4 cupcakes = 96 cupcakes
96 cupcakes / 16 per batch = 6 batches
Hope this helped, have a nice day! :)
[tex]s = \frac{w - 10e}{m} [/tex]
I'm trying to solve for w
9514 1404 393
Answer:
w = ms +10e
Step-by-step explanation:
The basic idea is to undo what is done to w. Here, 10e is subtracted, and the difference is divided by m. We undo these in reverse order. To undo the division, we multiply by m. To undo the subtraction, we add the quantity that was subtracted. Any operation that we perform must be done to both sides of the equation.
[tex]s = \dfrac{w - 10e}{m}\qquad\text{given}\\\\ms=w-10e\qquad\text{multiply by $m$}\\\\ms+10e=w\qquad\text{add $10e$}[/tex]
Usually, you want to write that with w on the left:
w = ms +10e
-4y+4=10x standard form ik its 10x+4y=4 but you need to simplify more please help i need to get it in an hr
Answer:
x= (2/5)-(2y/5) (Im not sure if this is what you need but this is the answer simplified)
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Assume that a researcher randomly selects 14 newborn babies and counts the number of
girls, x. The probabilities corresponding to the 14 possible values of x are summarized in
the given table. Answer the questions using the table. Find the combined probability of selecting 5, 6, 7, 8, or 9 girls.
Answer:
0.819
Step-by-step explanation:
0.122+0.183+0.209+0.183+0.122=
Can you please help me
Solve for x
Answer:
x = 11°
Step-by-step explanation:
Because of Alternate Exterior Angles, 5x - 12 = 43. Now, let's solve.
=> 5x - 12 = 43
=> 5x = 55
=> x = 11°
Hoped this helped.
Answer:
x = 11
Step-by-step explanation:
Alternate exterior angles are congruent where a transversal crosses parallel lines. That means ...
(5x -12)° = 43°
5x = 55 . . . . . . . divide by °, add 12
x = 11 . . . . . . . . . divide by 5
area of a trapezoid
Answer:
the formula finding area in a trapezoid is A=a+b
2h.
Step-by-step explanation:
Please help thank you
determine whether it is a solution to the Inequality 9x-5y<15.
Answer:
there is no solution
Step-by-step explanation:
Please help meee~
I would really appreciate it!
Answer:
x = 9
Step-by-step explanation:
Find common denominator
[tex]\frac{d}{3} +\frac{3*9.9}{12.9}[/tex]
Combine fractions with common denominator
[tex]\frac{d+3*9.9}{3} =12.9[/tex]
Multiply the numbers
[tex]\frac{d+29.7}{3} =12.9[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]3(\frac{x+29.7}{3} )=3 * 12.9[/tex]
Cancel multiplied terms that are in the denominator
x=29.7= 3 · 12.9
Multiply the number
x= 12.9=38.9
Subtract 297 from both sides of the equation
x+29.7-29.7=38.9-29.7
Simplify
x = 9.0
Hence, the answer is 9.
I am in desperate need of the answer to this:
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first. Find the measure of the third angle
Answer:
120°
Step-by-step explanation:
The sum of all angle measurements for the interior of the angle is 180°.
Let the first angle measurement be denoted as "x".
The second angle measurement is twice that of the first, or "2x".
The third angle measurement is six times of that of the first, or "6x".
Set the equation:
x + 2x + 6x = 180
Simplify. Combine like terms. Like terms are terms with the same, as well as same amount of said variable:
(x + 2x + 6x) = 180
(9x) = 180
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 9 from both sides of the equation:
(9x)/9 = (180)/9
x = 180/9 = 20
x = 20
Next, plug in 20 for x for the third measurement:
6x = 6 * (20) = 120°
120° is your answer.
~
Hello I need help
A farmer wants to fence in a rectangular area that is mile wide by mile long, as shown in the picture.
Which of the following proportions can the farmer use to calculate how many feet of fencing he will need?
Answer:
It is the first one. A 3/4 / x = 1mile/ 5280 ft.
Step-by-step explanation:
Answer:
is the first one. A 3/4 / x = 1mile/ 5280 ft.
Step-by-step explanation:
Put the given function into vertex form. Fill in the blanks to complete the function below.
Function: f(x)=x2−6x+13
Vertex Form: f(x) = (x
)2
write an expression in simpilest form (4x-1) (3x+2) (3x+2) (3x+2) (4x-1)
Answer:
The expression simplified is as follows:
[tex](4x-1)^{2}[/tex] · [tex](3x+2)^{3}[/tex]
Hope this helps and have a nice day!
A game lasts 5/8 hours. Jane played 4 of these games.
For how long did she play in total?
Answer: 2 hours 30 minutes in total.
Step-by-step explanation: Because when it says that a game lasts for 5/8 hours and Jane only play 4 of these games, Which means that you have to multiply the number of hours lasted by the total number of games that have been played. Therfore 5/8 x 4 = 20/8 but you simplify your answer and you will get 2 hours and 30 minutes in total.
Can anyone help me ASAP!
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x2-5)(x2+2)
Step-by-step explanation:
6x⁴-5x²+12x²-10
collect the like terms
(6x⁴+12x²)-(5x²-10)
6x²(x²+2)-5(x²+2)
(6x²-5)(x²+2)
A scuba diver at a depth of −12 ft (12 ft below sea level), dives down to a coral reef that is 3.5 times the diver's original depth. What is the diver's new depth?
Answer:
-42 ft
Step-by-step explanation:
Solve for y
3x + 2y = 9
Answer:
y = -[tex]\frac{3}{2}[/tex]x + 4[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given: 3x + 2y = 9
Get y alone: 2y = -3x + 9
Get y alone part 2: y = -[tex]\frac{3}{2}[/tex]x + 4[tex]\frac{1}{2}[/tex]
Unless we have an x value this is as far as we can solve. Have a nice day! :D
(side note: it is now also in slope-intercept form!)
44. Out of 461 applicants for a job, 168 have over 10 years of experience and 73 have over 10 years of experience and have a graduate degree.
Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
6.3151
Step-by-step explanation:
461 ÷ 73 = 6.31506
it gets rounded to the 4th decimal place of to 6.3151
4. Which of the following equation represent quadratic?
A. The cost of each pen is Php 8.50. How many pens can be bought by Php 850?
B. The length of a field is 2 m more than twice its width and its area is 24 m2.
C. The length of the rectangular room is 3 more than the width and its area is at least 56m2.
D. The length of a wall is 8 m more than its width. If the area of the wall is less than 40 m2.
5. What are the dimensions of the largest rectangular field that can be enclosed with 100 m of wire?
A. 24 m x 26 m
B. 25 m x 25 m
C. 50 m x 50 m
D. 50 m x 25 m
Answer:
Step-by-step explanation:
4) B , C and D represents the quadratic equation.
B) width = w
length = l = 2w + 2
Area = 24 square m
l *w = 24
(2w + 2)*w = 24
2w*w + 2w = 24
2w² + 2w - 24 = 0
Divide the entire equation by 2
w² + w - 12 = 0
C) width = w
Length = w + 3
Area = 40 m²
(w + 3 ) *w = 56
w*w + 3*w = 56
w² + 3w - 56 = 0
D) Width = w
Length = w + 8
Area = 40
(w + 8)*w = 40
w² - 8w - 40 = 0
5) B) 25 * 25
25 *25 gives the largest area that has its perimeter 100
