Use a coordinate proof to prove that mid segment mn of triangle pqr is parallel to pr and half the length of pr. which is the first best step? a. place the triangle on a coordinate grid such that vertex p is at the origin, and pr lies on x-axis. b. place the triangle on a coordinate grid such that vertex p is on y-axis and vertex r us on the x-axis
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Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis. Therefore, option D is the correct answer.
If we start with Step A, we are unknown about points Q and R and these two points need to be located somewhere.
If we start with step B, we are unknown about point Q and it needs to be located.
If we start with step C, we are unknown about points P and R, and these two points need to be located.
Let us start with step D,
It is given that,
In triangle PQR, QR lies on the x-axis while PQ lies on the y-axis means Q will be at the origin
Coordinates of Q will be (0, 0)
Let us take coordinates of R (4, 0) and P as (0, 4)
Let us take the midpoints of PQ &PR as ‘S’ & ‘T’ respectively.
Now, coordinates of S and T can be found using the Mid-Point formula
Coordinates of mid-point = (x₁+x₂)/2, (y₁+y₂)/2
Coordinates of S= (2, 0)
Coordinates of T= (2, 2)
Here,
We have to prove ST= QR/2 and ST Parallel to QR.
(1) Now, using distance formula,
ST = √([(0-2)²+(2-2)²])
ST = 2 (1/2 ×QR)
(2) Now, in order to prove ST is parallel to QR, we need to prove that the slope of ST is equal to the slope of QR.
Using slope formulae
Slope of ST = (2-2)/(2-0) = 0
Slope of QR = 0, as we know slope of x-axis is 0.
So, the value of ST is half of QR as well as it is parallel to QR.
Therefore, step D is the best option to start with.
To get more about the mid-point theorem refer to the link,
brainly.com/question/9635025
#SPJ7
"Your question is incomplete, probably the complete question/missing part is:"
Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the first best step?
A. Place the triangle on a coordinate grid such that vertex P is at the origin, and PR lies on x-axis.
B. place the triangle on a coordinate grid such that vertex P is on y-axis and vertex R us on the x-axis.
C. Place the triangle on a coordinate grid such that vertex Q is at the origin.
D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis.
Simplify the following expression by combining like terms:
- 2 +63 +2 - 2x + 8 - 4:
Answer:
6+4x-3z
Step-by-step explanation:
-2+6x+z-2x+8-4z
6+6x+z-2x-4z
6+4x+z-4z
6+4x-3z
Calculate the quotient below and give your answer in scientific notation.
2.64*10^-3\8.0*10^0
Answer:
The quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex] is: [tex]\mathbf{3.3\times 10^{-4}}[/tex]
Step-by-step explanation:
We need to find quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex]
We know that [tex]10^0=1[/tex]
Now solving:
[tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}\\=\frac{2.64\cdot 10^{-3}}{8.0}\\=\frac{0.00264}{8}\\=0.00033[/tex]
Writing it in scientific notation
[tex]0.00033\\=3.3\times10^{-4}[/tex]
So, the quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex] is: [tex]\mathbf{3.3\times 10^{-4}}[/tex]
what is the full from of math
Answer:
the full form of math is mathematics
hope it helps
Answer:
full form of mathematics. Explanation: M-miracle of nature. A-art of arithmetic. T-tool of knowledge.
Hope this helps, have a great day/night, and stay safe!
what is the diffrince between 200,000 - 124,35
Answer:
76,650
Step-by-step explanation:
Answer: 187, 565
Step-by-step explanation:can i have brainliest?
The tree diagram represents an
experiment consisting of two trials.
5
6 3
5
B
P(A and D) = [?]
===============================================
Explanation:
Highlight the path that starts with A and then leads to D
Multiply the values highlighted to get 0.5*0.6 = 0.3
Effectively we've computed the following
P(A and D) = P(A)*P(D given A)
P(A and D) = 0.5*0.6
P(A and D) = 0.3
The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.
A 20 cm
B
Find the area of an equilateral triangle of each side 12 cm.
a)
4
*
Glidef
can you help me pls it math slop
Answer:
Hi i am sorry but i can not seem to open the picture it say that there is not a file
Step-by-step explanation:
A warehouse store sells 4.5-ounce cans of tuna in packages of 3. A package of 3 cans costs $4.32. The store also sells 3.5-ounce cans of the same tuna in packages of 4. A package of 4 cans costs $3.92. The store sells 6.5-ounce cans in packages of 5 cans for $9.75. Which package is the best buy?
Answer:
The 6.5-ounce cans offer the largest size at a fair cost and is the best to buy.
Step-by-step explanation:
Size of the 4.5-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce
Cost of the package= $4.32
Size of the 3.5-ounce cans = 3.5 × 4 = 14 ounce
Cost of the package= $3.92
Size of the 6.5-ounce cans = 6.5 × 5 = 32.5 ounce
Cost of the package= $9.75
The 6.5-ounce cans offer the largest size and is the best to buy.
Sally left the city for vacation. Sandy left six hours later going 82 miles faster to catch up. After 5 hours Sandy caught up. What was Sally's average speed?
Answer: It took Sandy 11 hours to travel the same distance that Sam took 5 hours. {{{R[s]*11=5*75}}}
{{{R[s]=(5/11)*75}}}
{{{R[s]=34.9}}}{{{mph}}}
Don't ask sometimes i don't make sense...
The final answer is 11 hours... Hope this helps... Stay safe and have a great weekend!!! :D
Answer:
68 1/3
Step-by-step explanation:
Going 82 mph faster for 5 hours, Mary closed a (82 mi/h)×(5 h) = 410 mile gap. That gap was created in 3 hours by Sandy going.
(410 mi)/(6 h) = 68 1/3 mi/h
please mark me as brainliest. l am bagging you please.
Which of the following has the same value as the expression below? 4−4⋅4−64−2
Answer:
0
Step-by-step explanation:
that what goggle told me
A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary.
A. $54.95
B. $792.00
C. $839.95
D. $1134.50
Answer:
B is the correct answer
Celina measured the height of a window frame as 5.55 feet, but the actual height was 6 feet. What is the percentage of error in Celina's measurement? (1 point) Question 11 options: 1) 6.45% 2) 7.50% 3) 9.12% 4) 13.33%
Is this Dolli Buchannan Its Alexis!!!!
We spotted two
during our hike through the park.
A. deer
B. deers
C. deeres
D. deered
Answer:
deer
Step-by-step explanation:
daffy + duck = Daffy Duck :)
The volume of a cube is 1.5 m3. Find the length of its edge to the nearest tenth of a meter.
Given:
Volume of a cube = 1.5 m³
To find:
The length of its edge to the nearest tenth of a meter.
Solution:
Let a be the length of its edge.
We know that, volume of a cube is
[tex]V=a^3[/tex]
where, a is edge.
Volume of a cube = 1.5 m³
[tex]a^3=1.5[/tex]
Taking cube root on both sides, we get
[tex]a=\sqrt[3]{1.5}[/tex]
[tex]a=1.14471424[/tex]
Approximate the value to the nearest tenth (one decimal place) of a meter.
[tex]a\approx 1.1[/tex]
Therefore, the length of the edge of the cube is about 1.1 meters.
x
−
1
3
=
6
Give your answer as an improper fraction.
Answer:
x=19
Step-by-step explanation:
Basic Algebra.
x - 13 = 6
Simply move the 13 to the right side.
This involves changing the sign to positive, due to it being a negative integer.
The resulting outcome is
x = 13+6
Which concludes to
x=19
Expand and combine like terms. (3-8w^2)^2
Answer:
64w^4 - 48w^2 + 9
Step-by-step explanation:
(I rearranged the terms so I could solve it easier)
Expanding the square:
(-8w^2 + 3)^2
(-8w^2 + 3)(-8w^2 + 3)
Combining like terms:
64w^4 - 24w^2 - 24w^2 + 9
64w^4 - 48w^2 + 9
Final answer: 64w^4 - 48w^2 + 9
What is the slope for the equation -12y = -10x + -24
Which equation is represented by the graph below?
Answer: 2/3 x +6
Step-by-step explanation:
slope is 2/3 and y intercept is 6
Somebody help me plz
Answer:
1/3
Step-by-step explanation:
PLEASE ANSWER I GIVE POINTS:
A clothing store is advertising t-shirts on sale for (x-3) dollars and skirts for (x + 6) dollars. Write an expression that represents the cost of 5 t-shirts and 3 skirts.
Answer:
8x + 3
Step-by-step explanation:
The cost of 5 t-shirts and 3 skirts
= 5(x - 3) + 3(x + 6)
= 5x - 15 + 3x + 18
= (5x + 3x) + (-15 + 18)
= 8x + 3
Answer:
5(x-3)+ 3(x+6)
Step-by-step explanation:
5 (x-3)+ 3(x+6)
Brianna bought a sandwich, apple, and cookie for lunch. The total was $5. if a sandwich costs six times more than the cookie, and an apple costs three times more than the cookie, how much does each item cost?
Answer:
Cookie=0.5, Apple=1.5, sandwich= 3
Step-by-step explanation:
Lets say cookie = x, then sandwich = 6x since sandwich is 6 times more expensive, apple = 3x. function: 6x+3x+x =5
10x=5
x=0.5
Answer:
The cookie costs $0.50, the apple costs $1.50, and the sandwich costs $3.
Step-by-step explanation:
I multiplied 0.50 by 3 (for the apple) and got 1.50, then I multiplied 0.50 by 6 (for the sandwich) and got 3. I then added them all together and got 5.
find the zero of the linear funtion;
f(x)=5x -10
Answer: (2, 0)
When y hits zero, that's where you can find the zero thing
Find the value of x. (6x - 3)º с 75° d The value of x is
answer: x = 18
have:
75 + 6x - 3 = 180
<=> 6x = 180 +3 -75 = 108
<=> x = 108/6 = 18
Resolve into factors: 81a3 + 3b3
Answer: (3a+b)⋅(9a 2 −3ab+b2 )
Step-by-step explanation:
Jude researched the prices of several different models of cell phones and made a scatter plot of his data. The equation of the line of best fit for Jude’s data is p = -2.76t + 99.05 , where p is the price of the phone and t is the number of months that the phone has been available. What is the real-world meaning of the slope of this line?
a:A phone’s price increases by about $2.76 each month that it is available.
b:The original price of each phone was $2.76.
c:A phone’s price decreases by about $2.76 each month that it is available.
d:The original price of each phone was $99.05.
Answer:$4.76 each month
Step-by-step explanation:
A phone's price decreases by about $4.76 each month that it is available.
Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−4x5. If there is more than one x-intercept, separate them with commas.
x-Intercept(s):
Vertex:
Answer:
x-intercepts -1, 5.
Vertex is at (2, -9).
Step-by-step explanation:
y = x^2 - 4x - 5
Completing the square:
y = (x - 2)^2 - 2^2 - 5
y = (x - 2)^2 - 9 which is vertex form.
So the coordinate of the vertex are (2, -9).
Finding the x-intercepts:
(x - 2)^2 - 9 = 0
(x - 2)^2 = 9
x - 2 = +/- 3
x = 3 + 2 or -3+2
= 5, -1.
Complete the square for the expression, then factor the trinomial.
x^2-4x
please explain how to do it as well! :)
Answer:
0
=
(
x
2
−
4
x
)
−
5
=
(
x
2
−
4
x
+
4
)
−
4
−
5
=
(
x
−
2
)
2
−
9
so
(
x
−
2
)
2
=
9
or
x
−
2
=
±
√
9
or
x
=
2
±
3
so
x
=
−
1
or
x
=
5
Step-by-step explanation:
What is 63/4 as a decimal?
Step-by-step explanation:
15.75 very easy.......
scrie toti multiplii de trei cifre distincte ai numarului 5, care se pot forma cu cifrele: a) 5, 7 si 8; b) 0, 3 si 5. repede va roggg
Answer:
I will answer in English.
Here, we want to find all the 3-digit multiples of 5, that can be formed with the digits:
a) 5, 7, and 8. (i suppose that we can not repeat the digits)
First, we know that all the multiples of 5 end with a 5 or a 0, then the possible ones here are:
875
785
(the five must always be at the end)
b) 0, 3, and 5.
Now we have two options, if the 5 is at the end, we have:
305
(035 is not an option, because is a 2-digit number).
if 0 is at the end, we have:
350
530
5x-3y=2 Determine the ordered pair
5x - 3y = 2. -3y = -5x + 2. y = (5/3)x - 2/3. x y.
Step-by-step explanation:
5x-3y=2
-3y=-5x+2
y=(5/3)x-2/3
With Integers:x=1, y=1x=4, y=6x=7, y=11x=10, y=16x=13, y=21