Answers
Answer:
WX = 24
Step-by-step explanation:
Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1
Therefore,
WM/ MX = 2/1
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
WX = WM + MX
WX = 16 + 8
WX = 24
The value of the side WX is equal to 24. The correct option is B.
What is the centroid of the triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.
Here, the ratio of the two sides will be given as:-
WM/ MX = 2/1
Calculate the value of MX to get the value of WX.
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
The value of WX will be:-
WX = WM + MX
WX = 16 + 8
WX = 24
Therefore, the value of the side WX is equal to 24.
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Related Questions
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Answers
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Which of the following does not show the Commutative Property of Addition or Multiplication?
a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3
Answers
Answer:
XY - 9 = XY
Step-by-step explanation:
You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps
Help please, question attached
Answers
Answer:
C. x = 8
Step-by-step explanation:
We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.
Let's multiply 6 x 6 x 6.
36 x 6 = 216.
Let's multiply 8 x 8 x 8.
64 x 8 = 512
The answer would be C. x = 8.
I hope that this helps! :)
Answer:
8
Step-by-step explanation:
x³ = 512
x³ = 8³
Cube root on both sides,
x = 8
Give another name for CD PLEASE HELP!!!
Answers
Answer:
CED
Step-by-step explanation:
I hope this helps you
What number would go in the blank? 4 x 6 = 6 x ___
6
4
10
Answers
Answer:
4
Step-by-step explanation:
4 x 6 = 6 x 4
can y’all help please :)
Answers
Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.
Answers
Answer:
C
Step-by-step explanation:
Plato(:
What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.
What is stock?Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.
In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.
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NO JOKING AROUND OR I WILL REPORT WHO EVER DOES
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12
Answers
Answer:
Its 66 i just did a 50 question quiz and got it right
Step-by-step explanation:
What single transformation maps ∆ABC onto ∆A'B'C'?
Answers
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.
Answers
Answer:
45.7miles per hour
Step-by-step explanation:
40mins = 2/3 hour
the bus travelled (2/3 x 40) miles = 80/3 miles
the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
Answers
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
A = p + prt solve for t
Answers
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
A partial proof was constructed given that MNOP is a parallelogram.
Which statement should fill in the blank in the last line of the proof?
A. angle M is supplementary to angle O.
B. angle N is supplementary to angle P.
C. angle M is congruent to angle P
D. angle N is congruent to angle P.
Answers
Answer:
B
Step-by-step explanation:
B. angle N is supplementary to angle P
Answer:
B
Step-by-step explanation:
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answers
Answer:
Option (6). HL
Step-by-step explanation:
Given:
From the right triangles ΔBAC and ΔBDC,
AC ≅ CD
∠A = ∠D = 90°
To Prove:
ΔBAC ≅ ΔBDC
Statements Reasons
1). AC ≅ DC 1). Given
2). BC ≅ BC 2). Reflexive property
3). ΔABC ≅ ΔBDC 3). By HL property of congruence of right triangles
Therefore, Option (6) HL will be the correct option.
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answers
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
What is the definition of photosynthesis?
the process of converting the energy in oxygen molecules into ATP
the process of changing light into stored chemical energy in the form of sugars
the process of converting the energy in carbohydrate molecules into ATP
the process of changing light into stored chemical energy in the form of lipids
Answers
Answer:
he process of changing light into stored chemical energy in the form of sugars
Step-by-step explanation:
The process in which light energy is converted to chemical energy in the form of sugars is correct.
Option (B) is correct.
What is the definition of photosynthesis?
What is photosynthesis ?Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.
Given that:
Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.
Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8
So, the process in which light energy is converted to chemical energy in the form of sugars is correct.
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which number is bigger 1.59 or 1.955
Answers
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Answers
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
Factor:
25y + 27x
Plz help
Answers
Answer:
25y+27x
Step-by-step explanation:
You cannot factor this any further
A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?
Answers
Answer:
1/2 teaspoons of salt per cup of sour cream
Step-by-step explanation:
multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answers
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.
Answers
Answer:
y
=
−
1
3
(
x
+
3
)
Step-by-step explanation:
The point-slope form of a linear equation is:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point on the line and
m
is the slope.
Substituting the values from the point in the problem and the slope provided in the problem gives:
Answer:
y=-1/2x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y=-1/2x+2-2
y=-1/2x
Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Answers
Answer:
2 books in one month
Step-by-step explanation:
Answer:
2 books per month .
Step-by-step explanation :
6 divided by 3 = 2
So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )
Hope that helped :)
Any help is appreciated!!
Answers
Answer:
Step-by-step explanation:
600,000,000
Answer:
[tex]1.872 \times {10}^{13} [/tex]
Step-by-step explanation:
Simply multiple the values listed
[tex]3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} [/tex]
You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.
[tex]18.72 \times {10}^{12} [/tex]
Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.
[tex]1.872 \times {10}^{13} [/tex]
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answers
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
A bag of apples costs a dollars.
A bag of oranges costs 2 dollars more.
If Dorie bought 5 bags of apples and 5 bags of oranges, how much did Dorie pay in terms of a?
Mark all choices that are true.
A 5 (2a + 2)
B 10a + 10
c 10a + 2
D 5 (a + a + 2)
E 5a + 2a
Answers
Answer:The answer is A,B, and D
Step-by-step explanation:I just know lol
Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)
Answers
Answer:
4(2a+5)
Step-by-step explanation:
4 times 2a= 8a
4 times 5= 20
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answers
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
help me pleaseeeeeee
Answers
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
Find the slope and y-intercept of the graph. y=5x-3
Answers
Answer:
Step-by-step explanation:
y=mx+b
your m is the slope and your b is the y-intercept
so for y=5x-3 your slope would be 5 and your y-intercept would be -3
The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.
How to Find the Slope and the Y-intercept of a Graph?The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:
m is the slope
b is the y-intercept of the graph.
The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).
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