Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.

Consider The Figure Below:20166Determine The Length Of TZ.Do Not Include Spaces, Units, Or Commas In

Answers

Answer 1

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24


Related Questions

WILL MARK BRAINLYIST

Answers

Answer:

what's the question

Step-by-step explanation:

lol but u could mark me brainlyist

Answer:

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

Step-by-step explanation:

I will give a brainlist if someone could answer this problem with a explanation:)

Answers

Answer:

Step-by-step explanation:

The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).

Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180

Peak angle = 180 - 2*base angle

Therefore the triangles are congruent by SAS.  

I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?

Answers

Answer:

440

Step-by-step explanation:

Taking the test!

Good luck, buddy!

Answer:

B

Step-by-step explanation: 400 or 4ft x 10ft

Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5

Answers

Answer:

pov: im getting free points

Step-by-step explanation:

What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)

Answers

Apply l'Hopital's rule:

[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]

where

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]

follows from the fundamental theorem of calculus.

(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)

Answers

3210080 should be your answer

The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for the width, w. Numbers may be used once, more than once, or not at all.

Answers

24-2-2= 20. 20/2 = 10 width is ten

We want to find the width of a rectangle, we will find that the width is 10 inches.

Finding the width:

So we know that the perimeter of a rectangle is just given by:

P = 2*(L + W)

Where L is the length and W is the width.

Here we know that:

P = 24 inches

L = 2 inches

Replacing that we get:

24 in = 2*(2 in + W)

(24in)/2 = (2 in + W)

12 in = 2 in + W

12 in  - 2 in = 10 in = W

So the width is 10 inches.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

Combine these radicals.
√27-√3
24
2/3
c c
-2/3
o
-342

(I know it’s no C)

Answers

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9}[/tex][tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

3[tex]\sqrt{3}[/tex] - 1[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Answer:

B i got it right trust me i got 100

Step-by-step explanation:

Urgent help need it plz help ​

Answers

Answer: x = 9

Explanation:

Add the three angles up, and equal them to 180, as a triangle has 180*.

(13x + 2) + (3x - 4) + (5x - 7) = 180
Add together the like terms.
13x + 3x + 5x = 21x
2 + (-4) + (-7) = 9

21x + 9 = 180
21x = 189 (subtract 9 from both sides)
x = 9 (divide 21 from each side)

PLEASE HELP I WILL GIVE BRAINLIST! <3
On a certain hot​ summer's day, 606 people used the public swimming pool. The daily prices are 1.25 for children and 2.50 for adults. The receipts for admission totaled $1098.75. How many children and how many adults swam at the public pool that​ day?

Answers

478 adults and 3 children?

Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8

Answers

Answer:

1/8

Step-by-step explanation:

That's the same assignment I have and you just have to think it through mate.

What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?​

Answers

Answer: 21 +4c

Step-by-step explanation:

Answer:

what is in between 36 and 2c?

Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84

Answers

Answer:

its c or 83 bc you add them all together then divide by the amount of grades he has in total

answer: (C) 83

explanation: 70+89+91+82= 332/4(all together) would be 83

50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help

Answers

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Answer:

[tex] 1,205.8\: {ft}^{3} [/tex]

Step-by-step explanation:

Given object is made up of cylindrical and conical parts.

Fir cylindrical part:

r = 16/2 = 8 ft

h = 4 ft

For conical part:

r = 16/2 = 8 ft

h = 6 ft

Volume of the object = Volume of cylinderical part + Volume of the conical part

[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]

PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you

Answers

Answer:

9in on the map

Step-by-step explanation:

1/2in=20m or 1in=40m

360/40=9

9in

5th grade pls help ik my pfp is my face but I look like a different grade

Answers

Answer:

18

Step-by-step explanation:

First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.

(hope this helps...brainliest??)

Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.

Answers

Answer:

Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.

Step-by-step explanation:

Answer:

Terms: addition, division, multiplication

Constants: 9 and 2

Coefficients: 4 and 3

I think these are the right answers, I am so sorry if they are wrong!!

3 : 7 = 300 : x fill in the x for the equivalent ratios

Answers

Answer: 300:700

Step-by-step explanation:

If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

Answers

Answer:

The angle is approximately [tex]31^{o}[/tex].

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = [tex]\frac{60}{100}[/tex]

         = 0.6

θ = [tex]Tan^{-1}[/tex] 0.6

  = [tex]30.964^{o}[/tex]

θ = [tex]31^{o}[/tex]

The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].

what is m∠1 if m∠7 = 60°?

Answers

Step-by-step explanation:

95vxgr Tu fjvgzgvkvgshvysrvv

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?

Answers

Answer:

[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k)  is the center of the circle and r is the radius.

For this circle, the center is (5, -9) and the radius is 12. Therefore:

[tex]h= 5 \\k= -9 \\r=12[/tex]

Substitute the values into the formula.

[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]

Distrubute the -1 into the -9.

-(-9)= -1*-9= 9

[tex](x-5)^2+(y+9)^2=(12)^2[/tex]

Solve the exponent.

(12)²= 12*12=144

[tex](x-5)^2+(y+9)^2=144[/tex]

The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144

Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.

The equation of a circle.

Mathematically, the standard form of an equation of a circle is given by;

(x - h)² +(y - k)² = r²

Where:

h and k represents the coordinates at the center.r is the radius of a circle.

Given the following data:

Coordinates (h, k) = (5, -9).Radius = 12.

Substituting the given parameters into the formula, we have;

(x - 5)² +(y - (-9))² = 12²

(x - 5)² +(y + 9)² = 144

Read more on circle here: https://brainly.com/question/14078280

#SPJ2

In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.

We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."

Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.

please help 100points!!!!
And I will make brainiest
only if there is a good explanation.

Answers

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)

A. 9
B. 1 13/18
C. 25.3
D. 6

Answers

Answer:

b

Step-by-step explanation:

it is

Answer:

B. 1 13/18

Step-by-step explanation:

1 13/18 x 36 = 62

What is the equivalent of 5f + 7f

Answers

Answer:

12 f

Step-by-step explanation:

Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y

Answers

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

Evaluate the following logarithm 3/4log16

Answers

Log(8) or 0.9038
Hope this helps
i got the same as the person above!!

Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >

Answers

Answer: 2 rays that meet an endpoint

m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p

Answers

Answer:

- 104

Step-by-step explanation:

Assuming the question is to evaluate the expression.

Given

- 3m² + 4n - p ← substitute given values for m, n and p

= - 3(- 6)² + 4(2) - 4

= - 3(36) + 8 - 4

= - 108 + 4

= - 104

Other Questions
PLEASE HELPPP!! WILL GIVE 10PTS AND BRAINLIST!!!How does Florida make sure that childcare centers in the state are following regulations? Do you think this is fair? A box weighs 1300 N. When a horizontal force of 390 N has applied the box accelerates at 1.3 m/s2. What is the magnitude of the frictional force? Helppppp!!! ASAPWhat factors led to the American Revolution and the creation of the United States of America? In 2018, Borland Semi-conductors entered into the transactions described below. In 2015, Borland had issued 195 million shares of its $1 par common stock at $39 per share.Required:1. On January 2, 2018, Borland re-acquired 12 million shares at $37.50 per share.2. On March 3, 2018, Borland re-acquired 12 million shares at $41 per share. 3. On August 13, 2018, Borland sold 1 million shares at $47 per share. 4. On December 15, 2018, Borland sold 2 million shares at $41 per share. Please please help no scames ty what kind of phrase is WRITING A PAPER FOR HOURS, Sara finally shut her computer. In silkworms,yellow cocoon (B) is dominat over white cocoon(b). If the mom is BB and the dad is bb, what are the chances they have offspring with yellow cocoons? I need help with this shi Write the equation of a line parallel to the line y = 2x that passes through 0,4 Some facts about The Climate change in Arctic 3. What are two ways to increase the amount of Leaf miner caterpillar? What was the main reason Monroe made the statement below?10 pointsWith the existing colonies ... of any Europeanpower we have not interfered ... But with theGovernments who have declared theirindependence ... we could not view anyinterposition for the purpose of oppressingthem ... by any European power in any otherlight than as the manifestation of anunfriendly disposition toward the UnitedStates.-President MonroeO To strengthen alliances with AfricaO To keep Europe from stealing natural resourcesTo increase US military powerO To prevent European intervention in South America Part2Please help Ill make u brainly since rome is surrounded by water on 3 sides, it is considered a...? The penalties for a person's third DUI conviction include installation of an ignition interlock device for __________. which decription best compares the graphs of these two functions? y = -3x + 2 and x- 0, 2, 4 ,6 y- 2, 1, 0, -1 PLZ HELP BEING TIMED!!!!!PLZ ANSWER!!!! can someone help with 9-12 please ? How is the Oxford University study different from past studies on the effects of video games?AIt included measurements of game playing time as well as gamers' experiences.BIt used different mental health and mood metrics than previous studies.CIt included device data provided by game companies.DIt used popular video games rather than those built for the study. HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP