If Z is the centroid of RST, RZ = 42, ST = 74, TW = 51, ZY = 23 and find each measure TZ = ? ZW = ? SY = ? XZ = ?

Answers

Answer 1

The Triangle RST is missing, so i have attached it.

Answer:

A) TZ = 34

B) ZW = 17

C) SY = 69

D) XZ = 21

Step-by-step explanation:

To form the centroid, we see median drawn from the centre of all three sides.

Thus means the 3 sides are divided into 2 and as such;

XS = XT

YR = YT

WR = WT

Now, for median that forms centroid, the two parts are usually not the same length but instead in the ratio 2:1. That means one portion of the line segment is twice the length of the other.

Thus, by inspection of the given triangle, we can say that;

SZ = 2(ZY)

TZ = 2(ZW)

RZ = 2(XZ)

A) Now, we are given TW = 51

TW is made up of TZ and ZW

But since TZ : ZW = 2:1, it means that;

TZ = ⅔ × TW

TZ = ⅔ × 51

TZ = 34

B) From earlier, we saw that TZ = 2(ZW).

Thus; 34 = 2(ZW)

ZW = 34/2

ZW = 17

C) We are given ZY = 23.

From earlier, we saw that;SZ = 2(ZY)

Thus; SZ = 2(23)

SZ = 46

From the attached image we can see that;

SY = SZ + ZY

Thus;

SY = 46 + 23

SY = 69

D) We are given RZ = 42.

From earlier, we saw that;

RZ = 2(XZ)

Thus;

42 = 2(XZ)

XZ = 42/2

XZ = 21

If Z Is The Centroid Of RST, RZ = 42, ST = 74, TW = 51, ZY = 23 And Find Each Measure TZ = ? ZW = ? SY

Related Questions

PLEASEE HELPPP!!! PLEASEE ITS DUE TONIGHT!!

Answers

Answer:

umm actually x is equal to 15 cause

5 (15) + 11 = 86 try solving it hope it helps

cause all you had to do is find the value of X

thank me later if it's right, kk?

What is the y-intercept of the line shown?

Answers

The y-intercept of the line shown is -4.

give the value of x in these equivalent ratio
x:77 -7:11​

Answers

Step-by-step explanation:

[tex]x: 77 = 7 : 11 \\x = \frac{77 \times 7}{11} = \\ = 49[/tex]

From the given equivalent ratio the value of x is the number 49.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given equivalent ratios are x:77=7:11

"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios.

Here, x/77 = 7/11

Multiply both the numerator and denominator of the ratio 7/11 by 7, we get 49/77

Now, x/77 = 49/77

So, x=49

Therefore, the value of x is 49.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

thx in advance for the help

Answers

Answer: [tex]x\geq 13[/tex]

Step-by-step explanation:

Given

The inequality is  [tex]2x-7\geq 19[/tex]

adding both side 7

[tex]2x-7+7\geq 19+7\\2x\geq 26[/tex]

Multiply both sides by [tex]\frac{1}{2}[/tex]

[tex]\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13[/tex]

the shaded region in the figure indicates the solution set.

The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)

Answers

Answer:

17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.

Answer:

The answer is 16,25

Find the mean of 9,5,10 graphically will mark Brainliest if correct ( no files or links)​

Answers

8, to find the mean you need to add all the data points in this case 9,5, and 10 then divide with the number of data points in this which case there are 3 data points. So to find the answer you would add 9+5+10 and you’d get 24 you’d then divide 24 with 3 and get the answer which is 8

Answer:

the answer to the question is 8

Write the equation in slope-intercept form.
8y - 3x = 16

Answers

y= 3/8+2

This is the answer because in the equation 8y-3x+16 you would re-write it as 8y=3x+16 but to write it in slope-intercept form, you need to get the 8 away from the y. To do this you divide y by everything; creating y=3/8x+2 ( slope intercept form).

(-12)+(-18)+(-30) simplify this question​

Answers

Answer:

-60

Step-by-step explanation:

Well just follow the equation from left to right

Add it all up.

(+) + (-) = -

-12-18-30

-30-30

-60 is your answer

Hope this helped

Help me please?! I need help

Answers

Answer:

7x + 2y = 9

Step-by-step explanation:

standard form is always written as:

Ax + By = C

7x + 2y = 9 is the answer

What type of polynomial is this

Answers

Answer:

trinomial..............

Evaluate the function

Answers

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

Pls pls pls answer I need this done before 10;50

Answers

Answer:

1/12

Step-by-step explanation:

A regular hexagonal prism has a base area of 84.3ft^2 and a Volume of 337.2ft^3. What is the height of the prism? ​

Answers

Answer:

Height = 4 ft

Step-by-step explanation:

Base are : 84.3 ft square

Volume : 337.2 square cuboid

Pleas help .. Please help ..

Answers

Answer:

B is the correct answer

Answer:

D.

Step-by-step explanation:

7×3 = 21.

t × t = t².

y = y.

21t²y.

hope it helps. :)

help will give brainliest if right

BTW the last answer choice is D. 1

Answers

i think maybe it's A. sorry if that's wrong

help me please. Very much appreciated​

Answers

Answer:

A = 23.2 mm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 8 and h = 5.8 , then

A = 0.5 × 8 × 5.8 = 4 × 5.8 = 23.2 mm²

Xochitl bought 5 shirts all for the same price.
After using a coupon that took $10 off the
total price, her total before tax was $35. What
was the cost of each shirt?

Answers

Answer:

Each shirt costed 9 dollars.

Step-by-step explanation:

35+10=45 (initial price)

45/5=9 dollars per shirt

Write a linear function f with f(2)=-2 and f(1)=1

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

please answer this !!!!

Answers

Answer:

7

Step-by-step explanation;

Rewriting our equation with parts separated:

4+1/7+2+6/7

Solving the whole number parts:

4+2=6

Solving the fraction parts:

1/7+6/7=7/7 (7/7 is a whole number) But first before simplifing, reduce the fraction, 7/7=1/1. Then 1/1=1.

Combining the whole and fraction parts:

(Solving the whole number parts - 6)

(Solving fraction parts - 1)

6+1 = 7
I think this is 7 good luck

A jet ski depreciates at 11% of its original value each year. If the jet ski was $8,000 at its time of purchase, what is the value of the jet ski after 5 years?

Answers

Answer : $4,400

Ex
11% each year
Total money $8000
How many years : 5
11% x 5 =0.55 or 55%
$8000 x 0.55 = $4400
I don’t know for sure but I hope this helps.

Answer:  $4467.25

Step-by-step explanation:

Exponential decay problem. 8000(0.89)^5.  

100-11 = 89

89/100= 0.89, that is how we got the decimal.

Then, solve.

0.89 * 0.89 * 0.89 * 0.89 * 0.89 = 0.5584059449

0.5584059449 * 8000 = 4467.2475592

Round the decimal part to the nearest hundredth, which is $4467.25.

The radius of a circle is 6 m. Find its area in terms of π.

Answers

The answer is 36pi you just do 6^

Answer:

A=πr^2

22/7×6×6

=113 1/7

Mel randomly selects a coin 150 times selecting a dime 30 times, the experimental probability is 1/5 what is the theoretical probability?

Answers

Answer:

Step-by-step explanation:

We can calculate probability by looking at the outcomes of an experiment or by reasoning What is the theoretical probability that a fair coin lands on heads? Choose 1 answer:  Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

Hope this helps.

Please give me brainliest if it is correct

Box A has 2 rectangles with base 10 inches and height 4 inches. It has 2 rectangles with base 10 inches and height 3 inches. It has 2 rectangles with base 3 inches and height 4 inches. Box B has 2 rectangles with base 6 inches and height 5 inches. A rectangle with base 6 inches and height 8 inches. 2 triangles with base 8 inches and height 3 inches.

A shipping company is designing new cardboard packages to sell to customers. The options are a rectangular prism, Box A, or a triangular prism, Box B.

Which box is made with less cardboard?

PLS HELP I WILL GIVE BRAINLYEST

Answers

Answer:

Box A

Step-by-step explanation:

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

Answers

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2[tex]\pi[/tex]rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2[tex]\pi[/tex]rh

                         = 2 x [tex]\frac{22}{7}[/tex] x 2 x 14

                         = 2 x 22 x 2 x 7

                         = 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

A study in which conditions are under the direct control of the investigator.

Answers

Answer:

Experimental study

Step-by-step explanation:

Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Answers

Answer:

[tex]22.21\ \text{mph}[/tex]

[tex]22.2\ \text{mph}[/tex]

Step-by-step explanation:

[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]

[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]

[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing

At 25 minutes

[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]

[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]

[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].

At 35 minutes

[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]

[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]

[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].

Felicia got a designer job with a company that pay $55,000/year. What is Felicia's gross monthly income

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 4583.33$

Explanation:

55000 / 12

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

. Government Waste In a Gallup poll 513 national adults aged 18 years or older who consider themselves to be Republican were asked, "Of every tax dollar that goes to the federal government in Washington, D.C., how many cents of each dollar would you say are wasted?" The mean wasted was found to be 54 cents with a standard deviation of 2.9 cents. The same question was asked of 513 national adults aged 18 years or older who consider themselves to be Democrat. The mean wasted was found to be 41 cents with a standard deviation of 2.6 cents. Construct a 95% confidence interval for the mean difference in government waste, mR - mD. Interpret the interval.

Answers

Answer:

Part A

The 95% confidence interval is approximately 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

We are 95% confident that the true difference in the mean amount of waste per dollar stated by the two categories of adults is larger than zero and it is approximately between 12.66 and 13.34

Step-by-step explanation:

Part A

The given parameters are;

The mean amount adults that consider themselves Republican say is wasted for every dollar, [tex]m_R[/tex] = 54 cents

The standard deviation of the statistics, s₁ = 2.9 cents

The number of respondents in the group, n₁ = 513

The mean amount adults that consider themselves Democrats say is wasted for every dollar,   [tex]m_D[/tex]  = 41 cents

The standard deviation of the statistics, s₂ = 2.6 cents

The number of respondents in the group, n₂ = 513

The F-test, F = s₁²/s₂² = 2.9²/2.6² = 1.244

The critical-t, t* = 1.962

F ≤ t*, therefore, we pool the data

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

The 95% confidence interval is given by the following formula;

[tex]\left (m_R- m_D \right )\pm t^* \cdot s_p \cdot\sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

The test statistic, is given as follows;

[tex]t = \dfrac{m_R - m_D}{s_p \times\sqrt{ \dfrac{1}{n_1} + \dfrac{1}{n_2}} }[/tex]

Therefore;

[tex]t = \dfrac{54 - 41}{\sqrt{7.585} \times\sqrt{ \dfrac{1}{513} + \dfrac{1}{513}} } \approx 75.598[/tex]

Given that the test statistic, t = 75.598 > The critical-t, t* = 1.962, we reject the null hypothesis, therefore, there is significant statistical evidence to suggest that there is a difference in the mean stated by the two sets

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

[tex]C. I. = \left (54- 41 \right )\pm 1.962 \times \sqrt{7.585} \times \sqrt{\dfrac{1}{513}+\dfrac{1}{513}}[/tex]

The 95% confidence interval, C.I. ≈ 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

From the 95% confidence interval, we are 95% confident that the true difference in the mean amount adult who consider themselves Republicans say politicians waste and the true difference in the mean amount adult who consider themselves Democrats say politicians waste is between 12.66 and 13.34

Given that there is no '0' in the range of values in the 95% confidence for the difference in mean from the two groups,  difference in the mean amount of waste per dollar observed by the two categories of adults.

What are the solutions to the quadratic equation 2x2 - 8x-24 = 0?
A. X = -2 and x = 6
B. X=-3 and x = 8
C. X= -6 and x = 4
D. x= -4 and x = 6

Answers

Answer:

it is A . I hope its helpful

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