Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of LaTeX: \overline{PR}P R ¯ is equal to the slope of LaTeX: \overline{RT}R T ¯? Group of answer choices LaTeX: \frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}− 4 − ( − 3 ) − 7 − 7 = 2 − ( − 5 ) − 4 − 3 LaTeX: \frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}3 − 7 − 4 − ( − 7 ) = − 5 − 3 2 − ( − 4 ) LaTeX: \frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}− 4 − ( − 7 ) 3 − 7 = 2 − ( − 4 ) − 5 − 3 LaTeX: \frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}
Answers
Question:
Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?
Answer:
[tex]\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}[/tex]
Step-by-step explanation:
See attachment for complete question
From the attachment, we have that:
[tex]P = (-7,7)[/tex]
[tex]Q = (-7,3)[/tex]
[tex]R = (-4,3)[/tex]
[tex]S = (-4,5)[/tex]
[tex]T = (2,-5)[/tex]
First, we need to calculate the slope (m) of PQR
Here, we consider P and R
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex]P(x_1,y_1) = (-7,7)[/tex]
[tex]R(x_2,y_2) = (-4,3)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{3 - 7}{-4 - (-7)}[/tex] --------- (1)
Next, we calculate the slope (m) of RST
Here, we consider R and T
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex]R(x_1,y_1) = (-4,3)[/tex]
[tex]T (x_2,y_2)= (2,-5)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-5 - 3}{2 - (-4)}[/tex] ---------- (2)
Next, we equate (1) and (2)
[tex]\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}[/tex]
From the list of given options (see attachment), option A answers the question
Related Questions
what’s 2/7x-7 = 9x-4
Answers
Step-by-step explanation:
[tex] \frac{2}{7} x - 7 = 9x - 4[/tex]
[tex] \frac{2}{7} x - 9x = - 4 + 7[/tex]
[tex] \frac{2}{7} x - \frac{63}{7} x = 3[/tex]
[tex] \frac{ - 61}{7} x = 3[/tex]
[tex]x = 3 \times \frac{7}{ - 61} [/tex]
[tex]x = - 0.344[/tex]
If 15 hamburgers cost $75.00, what is the cost of 1 hamburger?
Answers
Answer:
75.00 divided by 15 equals 5 dollars for 1 burger
Step-by-step explanation:
Answer:
$5
Step-by-step explanation:
75 ÷ 15 = 5
1. 4 2/3 x 4/5
2. 8⋅2−7−5
3. 7(6+8)−4
4. 10−2+(6⋅2−4)
20 POINTS+ BRAINLIEST IF YOU ANSWER MORE THAN 1 ! ! ! ! ! !
Answers
2.14
3.94
4.16
a small water bottle holds 75% as much as a large water bottle.
if the small holds 36 units, how much does the large hold?
Answers
Capacity of larger bottle = 48 units
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
small bottle holds 36 units of water
Let the large bottle holds x units of water
According to the question,
capacity of small bottle = 75% of capacity of large bottle
36 = 75/100 × x
⇒ x = 36 × 100 / 75
⇒ x = 3600/75
⇒ x = 48 units
Hence the larger bottle holds 48 units of water.
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Find the minimum, maximum, and range for the given set of data.
{23.5, 22.1, 24.0, 28.6, 26.3, 29.2, 21.0, 22.7, 25.5, 22.3, 21.6}
A.
minimum = 21.0, maximum = 29.2, range = 50.2
B.
minimum = 21.0, maximum = 29.2, range = 8.2
C.
minimum = 22.1, maximum = 26.3, range = 48.4
D.
minimum = 22.1, maximum = 26.3, range = 4.2
Answers
Answer:B
Step-by-step explanation:
-3x + 5 = -4x - 10 solution??? ill give brainlist
Answers
Answer:
x=-10
Step-by-step explanation:
hope this helps, sorry if i get wrong
DO NOT PICK ANSWER IT IS WRONG.
Answer:
x=-15
Step-by-step explanation:
-3x+5=-4x-10
x+5=-10 Add 4x on both sides
x=-15 subtract 5 on both sides
Hope this helps plz mark brainliest if correct :D
what is the domain and range of {(-11,11), (-8,8), (0,0), (13,-13)}
Answers
Answer:
domain = -11,-8,0,13 or the first coordinate
range = 11,8,0,-13 or the second coordinate
Step-by-step explanation:
712.8036 rounded to the nearest
Answers
Answer:
To the nearest whole number = 713
To the nearest tenth = 712.8
To the nearest hundredth = 712.804
Step-by-step explanation:
You didn't finish writing what you were going round it to so I'm going to give you several answers.
Sneaks-R-Us buys sneakers from the manufacturer for $24.50 each. The store adds a 50% markup. What is the selling price, the retail price?
Answers
Answer:
Sneaks r us sells the sneakers for $36.75
Step-by-step explanation:
plsss helppppp i need this answer rlly bad!!
Answers
Answer:20
Step-by-step explanation:
set it up like 4/5 = x/25 and cross multiply
If a car can travel 300 miles with
12 gallons of gas, what is the rate in miles per gallon?
Answers
The school that Eduardo goes to is selling tickets to a fall musical. On the first day of ticket salesthe school sold 3 adult tickets and 7 student tickets for a total of $81. The school took in $94 onthe second day by selling 4 adult tickets and 7 student tickets. Find the price of an adult ticketand the price of a student ticket.A) adult ticket: $6, student ticket: $13B) adult ticket: $13, student ticket: $6C) adult ticket: $17, student ticket: $9D) adult ticket: $19, student ticket: $8
Answers
Answer: B) adult ticket: $13, student ticket: $6
Step-by-step explanation:
Let adults tickets be written as a
Let student tickets be written as s
We then use the information given in the question to form equation. This will be:
3a + 7s = 81 .......... equation i
4a + 7s = 94 .......... equation ii
Subtract equation i from ii
a = 13
Adult tickets cost $13
From equation i
3a + 7s = 81
We put the value of a = 13
3(13) + 7s = 81
39 + 7s = 81
7s = 81 - 39
7s = 42
s = 42/7
s = 6
Students ticket cost $6
factor: 2x^2 + 5x + 3
Answers
2x²+5x+3=0
2x²+2x+3x+3=0
2x(x+1)+3(x+1)=0
(x+1)(2x+3)=0
x=-1,-3/2
I need help please
Answers
Answer:
the answer would be 81
Step-by-step explanation:
6 to the second power would be 36 then you would multiply 36x2 and it would equal 72. then you would do 2x6 which is 12. then 72+12-3= 81
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.
Enter your answer in the box.
Answers
Answer: 148.20 miles
Step-by-step explanation:
From the question, we are informed that every week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
The total miles will Monica walk and run in a year will be calculated as:
Total miles walked in a week = 0.5 + 0.75 = 1.25 miles
Total miles run in a week = 1.6 miles
The total miles Monica walk and run in a year will then be:
= (1.25 + 1.6) × 52
= 2.85 × 52
= 148.20 miles
If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
16.3%
15.0%
14.0%
18.4%
Answers
Answer:
16.3
Step-by-step explanation:
The percent of the tip was 14%.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
If you left $25.00 on your table for a $21.50 meal,
the tip = 25 - 21.50 = 3.5
Let the percentage is n.
Then applying percentage formula,
n = 3.5 x 100/25
n = 14
Therefore, 14% is the required percentage value.
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Find the slope of the line passing through the points (3, 8) and (-2, 5).
Answers
Answer:
3/5
Step-by-step explanation:
m = y2 - y1
x2 - x1
m = 5-8
-2 - 3
m = 3/5
A man sells a mobile set for Rs 5,994 at a loss of 7.5%. How much money has he paid to buy the mobile. Also find his loss amount.
Answers
Answer:
Step-by-step explanation:
Sale price = 5994
Loss % = 7.5%
Remaining % = 92.5%
Purchase price should be = 5994 / 92.5%
Purchase price will be = 6480
Loss is price will be = 6480 - 5994
Loss = 486
Write the equation of the line with a slope of -2/5 and goes through the point
(-15, 5)
Answers
Answer:
y=[tex]-\frac{2}{5} x[/tex]-1
Step-by-step explanation:
Special right triangles
Find j
Thank you for any help ;)
Answers
a = 12.12436 = 7√3
j = 24.24871 = 14√3
∠α = 30° = 0.5236 rad = π/6
h = 10.5
area = 127.30573 = 147√3/2
perimeter = 57.37307
inradius = 4.43782
circumradius = 12.12436 = 7√3
Answer is
j = 24.24871 = 14√3
Help ASAP if you want brainliest, five stars, thanks, and friends list.
Answers
Answer:
11(r+t)+32
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions.
9x+6y=36
Answers
Answer:
x= -2/3 y +4
Step-by-step explanation:
[tex]x = \frac{ - 2}{3} y + 4[/tex]
Answer: y = 3/2x - 6
uhm which one idk thankssss
Answers
Answer:
The answer is A and C
Step-by-step explanation:
Supplementary angles added together = 180.
What number must be added to the expression below to complete the square x^2+16x=3
Answers
Answer:
Step-by-step explanation:
You need to move the 3 over to the left to make standard form.
x^2+16x-3=0 answer by completing the square
x= ± √67 -8
Step-by-step explanation:x
2 + 16 x = 3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b .
( b 2 ) 2 = ( 8 ) 2
Add the term to each side of the equation.
x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2
Simplify the equation.
Raise
8
to the power of 2 .
x 2 + 16 x + 64 = 3 + ( 8 ) 2
Simplify 3 + ( 8 ) 2 .
Tap for more steps...
x 2 + 16 x + 64 = 67
Factor the perfect trinomial square into ( x + 8 ) 2 .
( x+ 8 ) 2 = 67
Solve the equation for x .
Tap for fewer steps...
Take the square root of each side of the equation to set up the solution for x .
( x + 8 ) 2 ⋅ 1 2 = ± √ 67
Remove the perfect root factor
x + 8
under the radical to solve for x .
x + 8 = ± √ 67
Remove parentheses.
x + 8 = ± √ 67
Subtract
8
from both sides of the equation.
x = ± √ 67 − 8
The result can be shown in multiple forms.
Exact Form:
x = ± √67 − 8 x 2 + 16 x = 3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b .
( b 2 ) 2 = ( 8 ) 2
Add the term to each side of the equation.
x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2
Simplify the equation.
Raise
8
to the power of 2 .
x 2 + 16 x+ 64 = 3 + ( 8 ) 2
Simplify 3 + ( 8 ) 2 .
Tap for more steps...
x 2 + 16 x + 64 = 67
Factor the perfect trinomial square into ( x + 8 ) 2 .
( x + 8 ) 2 = 67
Solve the equation for x .
Take the square root of each side of the equation to set up the solution for x .
( x + 8 ) 2 ⋅ 1 2 = ± √ 67
Remove the perfect root factor
x + 8
under the radical to solve for x .
x + 8 = ± √ 67
Remove parentheses.
x + 8 = ± √ 67
Subtract
8
from both sides of the equation.
x = ± √ 67 − 8
The result can be shown in multiple forms.
Exact Form:
x = ± √ 67 − 8
Decimal Form:
x = 0.18535277 … , − 16.18535277 …
x 2 + 16 x = 3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b .
( b 2 ) 2 = ( 8 ) 2
Add the term to each side of the equation.
x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2
Simplify the equation.
Raise
8
to the power of 2 .
x 2 + 16 x + 64 = 3 + ( 8 ) 2
Simplify 3 + ( 8 ) 2 .
Raise
8
to the power of 2 .
x 2 + 16 x + 64 = 3 + 64
Add
3
and 64 .
x 2 + 16 x + 64 = 67
Factor the perfect trinomial square into ( x + 8 ) 2 .
( x + 8 ) 2 = 67
Solve the equation for x .
Take the square root of each side of the equation to set up the solution for x .
( x + 8 ) 2 ⋅ 1 2 = ± √ 67
Remove the perfect root factor
x + 8
under the radical to solve for x .
x + 8 = ± √ 67
Remove parentheses.
x + 8 = ± √ 67
Subtract
8
from both sides of the equation.
x = ± √ 67 − 8
The result can be shown in multiple forms.
Exact Form:
x = ± √ 67 − 8
Decimal Form:
x = 0.18535277 … , − 16.18535277 …
Decimal Form:
x = 0.18535277 … , − 16.18535277 …
At Alpha's school, lunches cost $2 and the cafeteria cashiers begin to warn you when your account falls below $10. If Alpha has $38 in her account, in how many days will the warnings begin and how long will they continue? Write the inequality to express this.
Answers
Answer:
the warnings will begin in 12 days and last for 5 days
Step-by-step explanation:
38-10=28, 28÷2=12, 10÷2=5, so you get 12 and 5
Lightening Pizza has a special: If customers order 4 pizzas, each pizza will cost $4.44. Mr.Peele orders 4 pizzas and wants to tip the driver 20% of the cost of the order. How much should Mr. Peele tip, round up to the nearest cent?
Answers
Answer:
21.31
Step-by-step explanation:
First do 4.44x4 then you get 17.76
and 20% of 17.76 is 3.552
you add 17.76 and 3.552 to get 21.312 which you round to the hundrenth which is 21.31
What is the length of the missing side of this right triangle? WILL GIVE BRAINLIEST
Answers
Answer:
I think its about 9? being as if you look a it its close to 12 but nowhere near it.
a^2+12^2=15^2
a^2+144=225
a^2=81
sqrt(a^2)=sqrt(81)
a=9
In the ASA Congruence Postulate, the side between the angles is called the ___ side.
Answers
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
1. 9
2. 6
3. 3
4. 81
Help plz giving out brianlest and god bless you
Answers
Factor 2x^3-12x^2+16x
Answers
Answer:
2x ( x-4) (x-2)Step-by-step explanation:
