Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
please someone help quick
Answer:
J
Step-by-step explanation:
dude trust me
Find FG. (idk how to write the question but apparently it needs to be longer)
Answer:
FG = 18
Step-by-step explanation:
FG + GH = FH
FG + 31 = 49
Subtract 31 from each side
FG +31-31 = 49-31
FG = 18
Answer: FG is 18
Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18
Item 10 Question 1 Solve the equation y/3=5 .
Answer:
y = 15
Step-by-step explanation:
y/3 = 5
Multiply each side by 3
y/3 *3 = 5*3
y = 15
How do I get the rule
700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
(5x+2x^2-3)-(6+x^2-8x)
Answer:
13x + x^2 - 9
Step-by-step explanation:
You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1 13x + x^2 - 9.
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
20 POINTS AND BRAINLIEST What is the value of x in this equation?
6x - 4(x - 9) = 2(3 - x)
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = -15/2 or -7.5
Step-by-step explanation:
6x - 4(x - 9) = 2(3 - x)
6x - 4x + 36 = 6 - 2x
2x + 36 = 6 - 2x
4x + 36 = 6
4x = -30
x = -30/4
x = -15/2
Check:
6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)
-45 + 66 = 2(10.5)
21 = 21
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
6x-4(x-9)=2(3-x)
6x-4x+36=6-2x (expansion)
2x+36=6-2x (collecting like terms)
2x+2x=6-36
4x=-30 (-30/4)
x=-[tex]-\frac{15}{2}[/tex]
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
please can you help. i would really appreciate it
Answer:
The integers that satisfy both inequalities are any number between -4.5 and -12
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
How many miles could Katya go if she filled her 22-gallon tank? Show your math
work
Answer:
that all depends on the car mileage, say she gets 20 mpg itd be 20x22
i need some help with this question
Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.
Answer:
C) is your choice
Step-by-step explanation:
What are rational numbers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers
Answer:
C. it cannot be a whole number
Step-by-step explanation:
*30 POINTS!*
Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.
The options are:
1. y= 2x-1
2. x-2y =2
3. y= 1/2x - 1
4. y+3 = 1/2 (x+4)
5. y-2= 1/2 (x-2)
Answer:
2, 3 and 4 represent the graph in the pic
Step-by-step explanation:
When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1
Hence the graph in the picture follows the formula: y = 1/2x - 1
When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.
1. y= 2x-1: Isn't the same as the equation of the line in the pic
2. Rearrange:
-2y = -x + 2 (divide both sides by 2)
y = x/2 - 1 (x/2 = 1/2x, its the same thing)
3. y= 1/2x - 1 (this is the formula of the line)
4. Expand right-hand-side:
y + 3 = 1/2x + 2 (rearrange)
y = 1/2x - 1 (this is the formula of the line)
5. Expand right-hand-side
y - 2 = 1/2x - 1 (rearrange)
y = 1/2x + 1 (is not the formula of the equation)
Answer:
The officeStep-by-step explanation:
“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott
A clock originally priced at $88 was sold at a sale for $77. The percentage discount?
(a) 11 (b) 12 1/2 (c)14 2/7 (d) 23
Answer:
It would be 12 1/2. (12.5%)
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.
1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.
Answer
9
Step-by-step explanation:
Divide 63 by 9 months
7 students per month
63 / 9 = 7
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$