Triangle PQR and triangle RST are similar right triangles PO
OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.
Answers
Answer:
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Step-by-step explanation:
Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].
Therefore:
[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]
[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]
[tex] = \frac{-8}{2 + 4} [/tex]
[tex] = \frac{-8}{6} [/tex]
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Related Questions
how different are polynomials from non-polynomials?
Answers
Answer:
The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.
what is the exact value of tan(9pi/8)
Answers
Answer:
The second one: sqrt 2 - 1
Step-by-step explanation:
Answer:
B. [tex]\sqrt{2} -1[/tex]
Step-by-step explanation:
How many cupcakes can you make with 6 cups of flour?
Answers
Answer:
36 cupcakes if one cup of flour is 6 cupcakes you multiply the amount of flour by 6
which is the following solution to
x-13<18
Answers
Answer:
X < 31
Step-by-step explanation:
Answer: X<31
Hope this helps!
Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows the path y = −2x + 32, while the other skater follows the curve y = −2x2 + 18x. Find all points where they might collide if they are not careful.
Answers
Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
Answer:
They will collide at (2,28),(8,16)
Step-by-step explanation:
savaas
HELP PLEASEE!!!! ASAP which of the following is the slope of any line perpendicular to the line with equation 2x + y - 3 = 0
Answers
Answer:
m perpendicular = −3 / 2
Step-by-step explanation:
y = m x+b
where m represents the slope and b, the y-intercept.
−3 y = −2 x + 5
divide all terms by - 3
−3 y − 3 = − 2 − 3 x + 5 − 3
y = 23 x − 53
in slope-intercept form
slope = m = 23
The slope of a perpendicular line is the
negative reciprocal of m
Which of the following is a possible value for X
Answers
Answer:
E)3
Step-by-step explanation:
4/3-1=2
3+1/2=2
First, You cross multiply.
(x - 1)(x + 1) = 8
x^2 - 1 = 8
Now subtract 8 from both sides.
x^2 - 9 = 0
x^2 - 9 is a difference between 2 squares.
(x + 3)(x - 3) = 0
For an equation with only multiplying to be equal to 0, one of its factors must be 0.
So either x + 3 = 0 or x - 3 = 0.
So x could be -3 or 3.
The answer is (E).
Hope this helps!
Segment RS is an altitude of triangle RTE, the measure of angle SRT=(4x-8) degrees, and the measure of STR=(6x+13) degrees. Find the value of x
Answers
9514 1404 393
Answer:
x = 8.5
Step-by-step explanation:
The given angles are complementary, so ...
(4x -8) +(6x +13) = 90
10x +5 = 90 . . . collect terms
10x = 85 . . . subtract 5
x = 8.5 . . . . divide by 10
x2 + 10x + 25 = 0
Solve each equation by factoring
Answers
Answer:
x=-5
Step-by-step explanation:
This is a perfect square
(x+5)^2=0
x+5=0
x=-5
Segment KJ = 8, JI = x+6 and KI = 2x+8.
8
X + 6
K.
1
J
2x + 8
Find the values below. Be sure to show all your work.
a. Find x. [Respond Here]
b. Find the length of KI. [Respond Here]
Answers
Answer:
a). x = 6
b). Length of KI = 20 units
Step-by-step explanation:
From the picture attached,
a). Length of KI = length of KJ + length of JI
By substituting lengths of the segments given in the picture,
(2x + 8) = 8 + (x + 6)
2x + 8 = x + 14
2x - x = 14 - 8
x = 6
b). Length of KI = (2x + 8)
By substituting x = 6 in the expression,
Length of KI = 2(6) + 8
= 12 + 8
= 20 units
A Star Wars replica of R2D2 cost $15995. It is on sale for 75% off. What is the discount?
Answers
Answer:
It is now 3,998.75
Step-by-step explanation:
0.75x15,995=11,996.25
15,995-11,996=3,998.75
Answer:
$3,998.75
Step-by-step explanation:
Can someone please help me
Answers
Answer:
x, 4 y, 3, z2
Step-by-step explanation:
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answers
Answer: Its A
Step-by-step explanation:
what else would need to be congruent to show that EFG = HIJ by SSS?
Answers
Answer:
EG=HJ
Step-by-step explanation:
The SSS postulate says that if all of the sides lengths of the triangle are given, then the second triangle will be congruent. We are given the side lengths of two sides so that means that we only need the side lengths of the last side.
Answer:
EG=HJ
Step-by-step explanation:
brainliest plz
correct for ap-ex
What is the range of a set of data. A. The middle number. B. The average of the data. C. The difference in the largest value from the smallest value. D. The largest value of the data
Answers
Answer:c
Step-by-step explanation:the difference between the largest and smallest is the range ...all the possible answers would be included in the range
What four consecutive integers have a sum of 90?
Answers
Answer:
x, x+1, x+2, x+3.
Step-by-step explanation:
I took the test
Answer:
21 + 22 + 23 +24 = 90
Step-by-step explanation:
Let's represent this with x:
x+x1+x+2+x+3 = 90
Group the x's together
4x+6 = 90
subtract 6 on both sides
4x=84
x=84/4
x= 21
Jacinth is 4 years older than her sister Naomi. The sum of their ages is 30. How old are the sisters?
Answers
Answer:
Jacinth = 17
Naomi = 13
Step-by-step explanation:
they add up to 30 and follow the criteria
Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.
Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.
The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.
Combining like terms, we have 2x + 4 = 30.
Subtracting 4 from both sides, we get 2x = 26.
Dividing both sides by 2, we find x = 13.
Therefore, Naomi's age (x) is 13 years old.
To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.
So, Jacinth is 17 years old, and Naomi is 13 years old.
To learn more about the linear equation;
https://brainly.com/question/29739212
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The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.
Answers
Answer:
dunno if you still need this but the answer is (90-25-15)÷5
Step-by-step explanation:
Square root of 244 simplified radicals
Answers
Answer:
Exact Form:
2√61
Decimal Form:
15.62049935…
Step-by-step explanation:
I think lol
HELP NUMBER 10 please!!!
Answers
Note:
0.13 x 16500 = 2145
16500 - 2145 = 14355 for the first year.
Continue this for 7 more years to get your answer.
What is the value for y in the following expression y=-2x+8 when x=20
Answers
Answer:
y = -32Step-by-step explanation:
[tex]y=-2x+8\\\\x=20[/tex]
Substitute ; x =20 in given equation
[tex]y =-2(20 )+8\\\\y = -40+8\\\\y = -32[/tex]
Name the subset(s) of real numbers to which the number belongs.
−1.57
A. integer only
B. rational only
C. irrational and rational
D. rational and integer
Answers
16 2/3% of 21.6 is?
Answers
Answer:
21
Step-by-step explanation:
Which of the following equations could represent
the points in the table? Select all that apply.
A y − 11 = −6(x − 0)
B y − 1 = −6(x + 5)
C y + 1 = −6(x − 2)
D y − 7 = −6(x − 3)
Answers
Answer:
A) y - 11 = -6(x - 0)
C) y + 1 = -6(x - 2)
Step-by-step explanation:
Plug in the corresponding x- and y- values in the table into the equations given in the answer choices.
I am going to use (1, 5) from the table.
A) y - 11 = -6(x - 0)[tex](5)-11=-6((1)-0)[/tex][tex]-6=-6(1)[/tex][tex]-6=-6[/tex]-6 DOES equal 6, so this equation could represent the points in the table.
B) y - 1 = -6(x + 5)[tex](5)-1=-6((1)+5)[/tex][tex]4=-6(6)[/tex][tex]4 \not=-36[/tex]4 does NOT equal 36, so this equation could not represent the points in the table.
C) y + 1 = -6(x - 2)[tex](5)+1=-6((1)-2)[/tex][tex]6=-6(-1)[/tex][tex]6=6[/tex]6 DOES equal 6, so this equation could represent the points in the table.
D) y - 7 = -6(x - 3)[tex](5)-7=-6((1)-3)[/tex][tex]-2=-6(-2)[/tex][tex]-2\not=12[/tex]-2 does NOT equal 12, so this equation could not represent the points in the table.
The only two equations that could represent the points in the table are answer choices A) y - 11 = -6(x - 0) and C) y + 1 = -6(x - 2).
which three points in the figure are collinear?
Answers
Answer:
A, D, and E
Step-by-step explanation:
A, D, and E all fall on the same line, therefore, they are all collinear.
10 points
The cost of renting is $25 per day plus a one-time insurance fee of $50.
Write and solve an inequality to find how many days can the car be
rented if the total cost is to be no more than $475.
Answers
We know that the total cost cannot be greater than 475. So set the equation 25x+50=475. Now solve for x. You should get x=17 as your answer.
7 to the 3rd power as a multiplication of factors is
Answers
Answer:
7*7*7
Step-by-step explanation:
7^3=7*7*7
hope this helps
Answer:
7×7×7= 343
Step-by-step explanation:
the answer is 343.
Please help with this and explain your answer and how you got it.
Answers
Answer:
V=48
Step-by-step explanation:
V=whl
V=2*3*8
V=48
Hope this helps! :) Plz mark as brainliest
15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?
Answers
Answer:
it would 35 feet long 100x0.35
The length of the movie theater will be 35 feet.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -
2x + 3y + 5
3y + 5
5 + 6
Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.
Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.
Mathematically, we can write -
{K} = final dimensions/initial dimensions
In the question given, the scale factor is -{K} = 100.
Assume the length of the movie theater to be {x}. So, we can write -
{x} = 0.35 x 100
{x} = 35/100 x 100
{x} = 35 feet
Therefore, the length of the movie theater will be 35 feet.
To solve more questions on algebraic expression , visit the link below -
brainly.com/question/27911936
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Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2
Answers
Answer:
282
Step-by-step explanation:
322- 5(4)2
322-40
282