Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Applying the segment addition theorem, the value of TS is: 76
Given:
TR = 5x - 12
RS = 3x + 8
If T is the midpoint of TS, therefore we would have the following equation:
TR = RS
Plug in the expressions5x - 12 = 3x + 8
Add like terms together5x - 3x = 12 + 8
2x = 20
Divide both sides by 2x = 10
TS = TR + RS (segment addition theorem)
SubstituteTS = 5x - 12 + 3x + 8
Plug in the value of xTS = 5(10) - 12 + 3(10) + 8
TS = 50 - 12 + 30 + 8
TS = 76
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
What is the value of 7 in 46.897
Answer:
If your asking its place value its Thousandths
Step-by-step explanation:
.1 is tenths
.01 is hundredths
.001 is thousandths
round 12.5829 to the nearest hundredth
Answer:
12.58
Step-by-step explanation:
the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58
What is 482.073 expressed in word form?
You order the
hardcover book shown from a website that offers free
shipping on orders of $25 or more. Write and solve an
inequality that represents how much more you must
spend to get free shipping.
Price: $19.79
Answer:
19.79+x >= 25
x>=5.21
Step-by-step explanation:
What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?
Question 8 options:
A)
(–4, 4)
B)
(9, 4)
C)
(–4, 8)
D)
(4, 4)
Answer:
The midpoint of the line segment is located at (-4, 4).
Step-by-step explanation:
We're given the coordinate points of a line that can help us find the midpoint.
The midpoint formula for a line is written as:
[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]
Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.
In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.
Therefore, we can label our two coordinates:
(5, -4)
x₁ = 5y₁ = -4(-13, 12)
x₂ = -13y₂ = 12Now, we can place these values into the midpoint formula and simplify to find our midpoint.
Recall that the midpoint formula is:
[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]
Therefore, let's substitute these values.
[tex]\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}[/tex]
Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.
Answer: Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
(x1 + x2)/2 , (y1 + y2)/2)
(5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
So the answer would be A)
(-4, 4)
Explanation:
let ( x,y) be the midpoint of the line segment, then x = 5+(-13) / 2 = -8/2 = -4 and y = -4+(12 ) / 2 = 8/2 = 4, the mid point is ( -4,4)
Evelyn is trying to make extra money on her summer vacation from school. She
works two different jobs, earning $11 per hour washing cars and $13 per hour
clearing tables. How much money would Evelyn earn in a week in which she worked
3 hours washing cars and 7 hours clearing tables? How much money would Evelyn
earn in a week in which she worked x hours washing cars and y hours clearing
tables?
Answer:
Washing Cars: $33
Clearing Tables: $91
Step-by-step explanation: Multiply 11 by 3, and multiply 13 by 7. I hope I helped!
Step-by-step explanation:
for every 1 hour she works she gets 11 dollars washing the cars, so you multiply the number of hours by the amount of money she gets each hour. Like so,
11 x 3 = 33, so 33 dollars from washing cars
next - 13 x 7 = 91 dollars from house cleaning
add together the amount of each so, 33 + 91 = 124, 124 is the answer.
How wide is the gate
someone help meh please:)
simplify the complex fraction -3/5 2 1/4
Answer: =−1 7/20
(Decimal: -1.35)
Step-by-step explanation: Hope this helped, Happy new years!
which equation best represents the relationship between X and Y in the table
Answer:
y=3x-2
Step-by-step explanation:
Answer:
y =2x -3
Brainiest pls :)
Solve x+ - 18x2 + 17 = 0 over the
set of Complex Numbers.
Answer:
x=1,−17/18
Step-by-step explanation:
sam is 12 in four years his age will be 2/3 the age of his cousin like how old will luke be in two years
Answer:
he will be 17 in
Step-by-step explanation:
I need help with this questions ASAP!
Answer:
Step-by-step explanation:
3100 ft per 50,000 years
31 ft per 500 years (Divided 100)
Convert ft to inches
372 in per 500 years
0.744 inches per year (Divided by 500)
27) What is the formula of area of a circle?
Answer:
πr^2
Step-by-step explanation:
My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):
"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."
Answer:
A=πr2
Step-by-step explanation:
i believe this is the formula
HELP!!!! I have never seen this. I will award big brain.
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
What is 4% of 25?.....
Answer:
1
Step-by-step explanation:
multiply 25 by .04
In Exercises 27 and 28, find the domain of the function
represented by the graph. Determine whether the
domain is discrete or continuous. Explain.
Question 27
The graph on question 27 indicates that there are three points with the locations such as:
(2, 6)(4, 12)(6, 18)In other words, there are three points that lie on the graph with the x-values such as:
{(2, 6), (4, 12), (6, 18)}
We know that the domain includes the set of x-values.
Hence, the domain of the function is:
Domain: {2, 4, 6}Since the points are not connected between them. In other words, there is not a continuous line.
Thus, the function represented on the graph has a discrete domain.
Question 28
The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).
Since there is a continuous line between the points from x = 0 to x = 7.
Thus, the domain of the line function is:
Domain: {0, 1, 2, 3, 4, 5, 6, 7}As the line segment is a continuous line. Thus, the domain is continuous.
Plzzzzzzzzz help I don’t understand!! I’ll give brainliest to whoever gives me the answer!
0 of 10
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answer:
1038
Step-by-step explanation:
you add 308 and 730
whats the degree of 5z^3-2z^4-9z^2+z
Ok we can see that [tex]2z^4[/tex] contains the variable with the highest exponent, 4, so the degree is 4.
How do I do this???????
umm I'm not sure use a cheating app I geust
Solve and describe the graph of the inequality: j + 16 ≥ -21
Answer:
j ≥ -37
Step-by-step explanation:
j + 16 ≥ -21
move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract)
j ≥ -37
The graph would be a closed circle on -37 with an arrow pointing to the right.
To solve and describe the graph.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.
Given that:
The inequality is
j + 16 ≥ -21
Move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract) the constant term
j ≥ -37
So, the graph would be a closed circle on -37 with an arrow pointing to the right.
Learn more about inequality here:
https://brainly.com/question/19846294
#SPJ5
Fiona doubled the original amount in her savings account, s. Which expression represents her new balance and what is that new balance if s = 160? 2 s; when s = 160 the new balance in Fiona's savings account is $80. StartFraction s Over 2 EndFraction; when s = 160 the new balance in Fiona's savings account is $320. 2 s; when s = 160 the new balance in Fiona's savings account is $320. StartFraction s Over 2 EndFraction; when s = 160 the new balance in Fiona's savings account is $80.
Answer:
C is the answer ,got it right on EDG 2020
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Ay can anybody please help me with this question !
Answer: a = 45°
Step-by-step explanation:
The measure of∠PSR is given: 90°
Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.
The total of all angles in a triangle is 180. So subtract 90, then divide by 2.
180-90 = 90
90/2 = 45
a = 45°
If "b" is supposed to be the measure of ∠SRQ, that is 15° The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15
3. (05.01)
A consistent, dependent system of equations is a system with ______
(1 point)
Answer: only one line
Step-by-step explanation:
Help! (;´༎ຶٹ༎ຶ`)
Considere el patrón de cuadrados que se muestra a continuación:
Qué tipo de modelo, lineal o exponencial deberi sarse para determinar cuántos cuadrados hav
en el patrón n-ésimo (enesimo ? Explique respuesta
Consider the pattern of squares shown below:
What type of model, linear or exponential, should be used to determine how many squares are in the n esimo pattern? Explain your answer.
Answer:
que tembe frendeas tete.... thes i was 608 i deas fedas decde
step-by-step explanation:
jk i dont speak spanish
Find the missing angle.
A.65
B.75
C.70
D.85
1. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total
cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Answer
Step 1: 24.95 + 14.95 = 39.90
clercks step
the percent
Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her
error. Explain in writing how to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest hundredth)
Answer:
Answer:
39.995=40.00
Step-by-step explanation:
0.095 is tax he just added 9.5 he is not correct
I NEED HELP PLEASE
Coment if u singal
Answer:
x> -10
Step-by-step explanation:
in order to find what the value of X is you have to multiply the 5 of the denominator into the -6 which would make -30.
You would then divide by 3 in order to get x by itself and would get -30÷3= -10
therefore the answer should be greater than -10
Hope this helped :)
Answer:
x > -10
Step-by-step explanation:
[tex]\frac{3x}{5} > -6[/tex]
Multiply both sides by 5/3
[tex]\frac{5}{3} * \frac{3x}{5} > \frac{5}{3} *(-6)[/tex]
Reduce Everything
[tex]x > -5*2[/tex]
Multiply
x > -10
I NEED HELP ITS TIMED
Answer:
Binomial
Step-by-step explanation:
This is because it has two terms
Write the equation for each graph below.
Answer:
The first one is 3x+1
The second one is 3/4x - 2
Step-by-step explanation:
Look where the line intersects then count the dots to where the next point is.