In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?

In The Diagram, R, S, And T Are All Points Of Tangency. What Is The Perimeter Of TriangleXYZ?

Answers

Answer 1

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm


Related Questions

the 30% discount on a $49 dollhouse​

Answers

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

Two bags of flour have a total weight of 8 3/4 pounds. What could be their individual weight

Answers

Answer:

4 3/8 lbs.

..................

There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.

We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.

Therefore, we can set up an equation:

x + y = 8 3/4

where x is the weight of one bag of flour, and y is the weight of the other bag of flour.

We can simplify 8 3/4 to 35/4, so the equation becomes:

x + y = 35/4

We can solve for one variable in terms of the other:

x = 35/4 - y

Now we can substitute this expression for x into the original equation and solve for y:

x + y = 35/4

(35/4 - y) + y = 35/4

35/4 = 35/4

This equation is true for any value of y.

Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.

Thus,

There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

For the following right triangle, find the side length x.
12
5

Answers

Answer:

x = 13

Step-by-step explanation:

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

[tex]c^{2} = 5^{2} + 12^{2}[/tex]

[tex]c ^{2} = 25 + 144[/tex]

[tex]c^{2} = 169[/tex]

[tex]\sqrt{c^2} = \sqrt{169}[/tex]

[tex]c = 13[/tex]

There are 30 students in a math class.
If 28 were present for class, what
percent are in class?

Answers

Answer:

93%

Step-by-step explanation:

28 divided by 30= 0.93

0.93= 93%

Answer:

100%

Step-by-step explanation:

30 +28=58 this is the total of people in class

58/58× 100=100%

If l=3, w= 3, and h= 5, what is the volume of this box​

Answers

Answer and Step-by-step explanation:

To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).

length = l = 3

width = w = 3

height = h = 5

Now, we multiply each together.

3 × 3 × 5

9 × 5

45

The volume of the box is 45.

#teamtrees #PAW (Plant And Water)

Answer:

the volume of the box would be 45

Step-by-step explanation:

Solve for the length of BA and BC, round your answer to 1 decimal place

Answers

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]

I need help please.

Answers

Step-by-step explanation:

if I had to guess it's probably true

Please help me :) I will give Brainiest to whoever does! PLEASE HURRY

Answers

Answer:

18.33

Step-by-step explanation:

what is y=3x and y=2x+2 solution ??
( , )



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Try this: (2,6)

x=2, y=6

Step-by-step explanation:

Answer:

i belive it is (-2,-6)

PLEASE HELP
x + 2/3 = 9/10

Answers

Answer:

The answer is x= 7/30

It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are randomly selected throughout the country, the selections for each chain being independent. The following hourly rates are recorded:
Chain A 4.25 4.75 3.80 4.50 3.90 5.00 4.00 3.80
Chain B 4.60 4.65 3.85 4.00 4.80 4.00 4.50 3.65
Under the assumption of normality and equal variances, can it be concluded at the 5% significance level that chain A pays more than chain B for the job under consideration?

Answers

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ:  [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

The pooled variance, [tex]S_p^2[/tex], is given as follows;

[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]

Therefore, we have;

[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]

The test statistic is given as follows;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?

Answers

You would do 7x0.5 which equals 3.5 ft :^)

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer

Answers

Answer:

59.5 cm

Step-by-step explanation:

Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]

=72

Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].  

=5 and 5

Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]

=12.5

Then subtract to find only the shaded section: [tex]72-12.5[/tex]

=59.5 cm

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion

Answers

Answer:

The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]

Step-by-step explanation:

At the null hypothesis, we test that the mean is equal to a certain value.

At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.

The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 238[/tex]

A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu > 238[/tex]

Imaginary numbers. What is (-i)^5?

Answers

That is basic algarethem that is your answer

If 3 inches of rain fell in 5 hours, how much rain fell each hour? *

Answers

Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

What is the value of xwhen ik o h)(r)
-1?
OA.
2
OB.
-3
O C. 1
OD.
4
I NEED HELP ASAP

Answers

Answer:

4

Step-by-step explanation:

If 60 minutes equals one hour, which expression would you use to find the number of
hours in 240 minutes?

Answers

Answer is: 60x=240
240/60=40

in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram

2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5

Answers

Answer:

C

Step-by-step explanation:

Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!

Answer:

C is the approximant answer

Sine divided by Cosine is equal to Tangent. True or false?

Answers

Answer:

True

Step-by-step explanation:

132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split​

Answers

Answer:

16:6

Step-by-step explanation:

96:36

Highest common factor is 6

divide both sides by 6

16:6

Which expression is equivalent to (3x^2y)^2 (2x^4y^2)^2?


A. 10x^10y^6
B. 12x^24y^8
C. 24x^10y^7
D. 36x^12y^6

Answers

D. 36x^12y^6 is the correct answer

Simplify.
5a√2+3a√2


16a
8
8a

Answers

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)

Answers

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75

an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter​

Answers

Answer: £188

Step-by-step explanation:

Given

The depth of the hole is 80 m

For the first meter, it is £30

After that, it is £2 per meter

after a meter, it is 79 m more

The total cost is C

[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]

Helppppppppppp I have 3 minutes

Answers

Answer:

It definitely is linear, and it is a straight line

Step-by-step explanation:

Try using desmos, it may help

Answer:

A) it is linear and it is a straight line

Step-by-step explanation:

it is a linear equation. It will be straight

y=mx+b is linear

The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.

a Steller Stover's Farm 3 cows for 5 chickens

b Awesome Ansel's Farm 1 cow for every 5 chickens

c Happy Hall's Farm 1 cow for every 3 chicken

d Jumping Jack Jones Farm 3 cows for every 8 chickens ​

Answers

The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.

Hey I just want you to know to have a bless day

can I get help PLEEEEEEEEEEEEEASE

Answers

Answer:

what do you need help with? i can try to help you

Step-by-step explanation:

Answer:

Help with what, where is the ?

Juan Carlos has been asked to find the distance between two points on a coordinate grid using the distance formula calculate the distance between points (-3,2) and (12,10)

Answers

The answer is down below. It is 17 units

EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.

Answers

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

36+6=42

Answer:

(7)=11

(8)=42

Step-by-step explanation:

here

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