Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False​

Question 4 Of 10 Based Only On The Information Given In The Diagram, It Is Guaranteed That A ABC - AXYZ.

Answers

Answer 1

Answer: True

Step-by-step explanation:

We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer

Therefore if you add the 38 the 52 and the 90 you’ll get 180

Answer 2

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.

What are the conditions of the congruent triangle?

Triangles that are equivalent in terms of size and form are known as congruent triangles.

It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.

The angle of triangles ABC and XYZ is;

∠A= 180° -(90+52) = 38°

∠B= 90°

∠C=38°

∠X=38°

∠Y=90°

∠Z=180° -(90+38°) = 52°

∠B =∠Y=90°

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.

Hence, option A is correct.

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Related Questions

Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where: A = { 2 , 3 , 5 , 6 , 7 } B = { 1 , 3 , 9 , 10 , 11 , 14 } C = { 5 , 9 , 12 , 13 , 15 }

Answers

Answer:

16 elements

0 elements

Step-by-step explanation:

U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }

Let sets A , B , and C be subsets of U , where:

A = { 2 , 3 , 5 , 6 , 7 }

B = { 1 , 3 , 9 , 10 , 11 , 14 }

C = { 5 , 9 , 12 , 13 , 15 }

(A U B U C) = elements in either A, or B or C

(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}

(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.

Number of elements = 13

(A n B n C) = elements occurring in both A, B and C

(A n B n C) = {} = empty set

(A n B n C) n (A n B n C) = {} = 0



In a class, there are 87 students
in the class, and 38 are boys. What is
the probability that a girl is selected
randomly to represent the class in a
debate?

Answers

Answer:

49/87 = .56 = 56%

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

y=−x+4
y=x−2

What is the solution for the system of equations?

Answers

Step-by-step explanation:

y=-x+4

y=x-2

adding both the equations we get

2y=2

:. y=1

and putting the value of y in equation first we get

x=3

please help me out here. I know the answer but I don't know what the radical is​

Answers

Answer:

9

Step-by-step explanation:

There is no radical it's just 9

June 14th Jim Thompson Homework

Answers

Answers:

8) Choices E, F and G9) r = -0.9510)  0.9 (choice C)11) Choice C. y1 = mx1+b12) Choice B. Slope13) Choice C. y intercept

========================================================

Explanations:

8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.

------------------------------

9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.

------------------------------

10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9

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11) The general equation is y = mx+b. We simply replace x,y with x1,y1.

------------------------------

12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.

As an example, y = 2x+5 has slope 2.

------------------------------

13) The b in y = mx+b is the y intercept. It's the initial value.

It always occurs when x = 0 since

y = mx+b

y = m*0+b

y = b

Meaning the point (0,b) is the location of the y intercept.

For example, y = 2x+5 has y intercept 5 located at the point (0,5).

Set up an en equation and use it to solve for x

Answers

Answer:

x = 30

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 3 + 153 = 180

x + 150 = 180 ( subtract 150 from both sides )

x = 30

Answer:

x = 30

Step-by-step explanation:

180° = total

153° = part

180° - 153° = 27°

Then use the equation to find the value of x

(x - 3) = 27

(x + 3) = +3       Add 3 to both sides!

x = 30

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Answers

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)

Answers

Answer: Length = (15x + 20) / 5

Step-by-step explanation:

The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:

Area = length × width

(15x + 20) = length × 5

Length = (15x + 20) / 5

Therefore, the expression is Length = (15x + 20) / 5.

Solving further, the length will be:

= (15x + 20) / 5

= 3x + 4

pls pls help ez middle school math

Answers

Step-by-step explanation:

[tex]\sqrt{x^2-6x + 9} = \sqrt{(x - 3)^2}= x - 3[/tex]

helppppppp really please.

Answers

Answer:

x ≈ 101.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )

x × tan44° = 98 ( divide both sides by tan44° )

x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )

please help me :)))))))))))))))))

Answers

Answer:

A

Step-by-step explanation:

third angle=180-(35+73)=180-108=72°

Art class is 5% of an hour each school day. How many hours of art does a student have in five days ?

*no links are allowed. *

Answers

Answer:

okay, so ... In a day, We all have 24 hours in a day

60 mins = 1 hr

5%

5/100×1 hr=

5 days =

okay, this is difficult

someone PLSSS HELPPP fast plsss !!!

Answers

5a^10-2 I’m pretty sure that’s the right answer

Please help me I really need help

Answers

771.05 m³ is tge answer brudah !!

V = pi x 4^2 x 14 + 1/3 x pi x 4^2 x 6
= 703.72 + 100.53
= 804.2 m^3 (4sf)

write one eighth as a decimal

Answers

Answer:

0.125

Step-by-step explanation

one eighth = 1/8

Divide the numerator by denominator and the answer is 0.125

The answer is .125
It is half of .25 which is 1/4

Over which interval does f have an average rate of change zero?
A. -3≤x≤5
B. -5≤x≤3
C. 2≤x≤4
D. -3≤x≤-1

Answers

Answer:

Step-by-step explanation:

The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:

[tex]m=\frac{4-0}{5-(-3)}=\frac{4}{8}=\frac{1}{2}[/tex]  and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is

[tex]m=\frac{0-0}{-1-(-3)}=\frac{0}{2}=0[/tex] This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.

The expression \sqrt[3]{3}\cdot \sqrt[5]{3^6}
3

3


5

3
6


is equivalent to

Answers

3/6 because I got it right on the quiz and it was easy txt me if you need help

By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]

How to find equivalent value

To simplify the given expression,  combine the two radicals using the property of exponentiation.

First, simplify the expression inside the second radical:

√[5]{[tex]3^6[/tex]}

Since the index is 5,  rewrite the expression as:

[tex](3^6)^(1/5)[/tex]

Using the property of exponentiation, multiply the exponents:

[tex]3^(6/5)[/tex]

Now combine this result with the first radical:

[tex]3\sqrt3 * 3^(6/5)[/tex]

Since ∛3 can be written as [tex]3^(1/3)[/tex],  rewrite the expression as:

[tex]3^(1/3) * 3^(6/5)[/tex]

To multiply two numbers with the same base, add the exponents:

[tex]3^(1/3 + 6/5)[/tex]

To simplify further, we need a common denominator for the fractions:

[tex]3^(5/15 + 18/15)[/tex]

Combining the fractions:

[tex]3^(23/15)[/tex]

Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]

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When 345 is multiplied by a power of 10 the number of zeros in the product is related to the power of 10. Explain how the number of zeros relates to the power of 10.

Answers

Answer:

The Number of Zeroes In The Results is Always equal To the Powers of 10.

Step-by-step explanation:

Example:-

345*[tex]10^{2}[/tex] = 34500

345*[tex]10^{5}[/tex] = 34500000

345*[tex]10^{7}[/tex] = 3450000000

345*[tex]10^{8}[/tex] = 34500000000

(In the Above examples, There is All The Numbers of Zeroes In The Results is equal To the Powers of 10)

A medical company tested a new drug on 100 people for possible side
effects. This table shows the results.
Side effects No side effects
Total
Adults
6
44
50
Children
20
30
50
Total
26
74
100
Compare the probability that an adult has side effects with the probability
that a child has side effects. Draw a conclusion based on your results.

Answers

Answer:

the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest

Step-by-step explanation:

The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.

Total number of people tested = 100

Number adults = 50

Number of adults who got side effects = 6

Probability that the adult got side effects = 6/50 = 0.12

Number of children = 50

Number of children who got side effects = 20

Probability that the children got side effects = 20/50 = 0.40

Here, it is clear that probability that the children got side effects is greater than that adult got side effects.

So, Children have a much higher chance of having side effects than adults.

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Which definition best describes vertical angles?
O A. A pair of angles whose sum is 180°
B. A pair of angles that combine to form a straight angle
C. A pair of angles whose sum is 90°
D. A pair of opposite angles formed by intersecting lines
SUBM

Answers

the correct answer is d

Given DC = 27, A F=46, find BC.

Answers

Answer:

23

Step-by-step explanation:

BC is parallel to AtoF

BC = (1/2)AtoF

BC = (1/2)46

BC = 23

The length of side BC will be 23. Option C is corect.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Surface area of a cube please HELP HELP HELP

Answers

Answer:

The surface area of the cube is 294 m^2

Step-by-step explanation:

The formula for the surface area of a cube is:

(a^2) 6

Explanation behind formula:

a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.

(Surface area- the area of each face of a figure)

Use formula with the given:

(7^2) 6 = 294

Surface area is measured in square meters.

(meters in this situation)

Therefore, the surface area of the cube is

294 m^2

Hope this helps!

Answer:

294

Step-by-step explanation:

formula is = 6(side length)^2

6x(7)^2

=294

Use the following to write and solve a proportion to find the values of X, Y and Z. ​

Answers

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet

Answers

A. -5 feet
This is because when you are diving into a pool the lower the number the deeper into the pool you are going
Since Jenny dove deeper, the only number lower than -4 is -5

i don’t understand this at all

Answers

Answer:

use the pythagorean theorem

Step-by-step explanation:

a²+b²=c²

okay so a triangle has 3 sides. right now you’re given the lengths of 2 of them. to find the 3rd length you have to put it into an equation which is a2+b2=c2. side C is the hypotenuse (the longest side on a triangle). since, you only have side A and C you need to use c2-a2=b2. in your case it would be 12^2-6^2=c2. 144-36=108. to find the actual length of the side you need to find the square root of 108 which is 6/3 (/ is the square root symbol).

if you need a deeper explanation or more help just message me :))

Who hates math? I'm not too fond of math, but I love numbers.

Answers

I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.

hope it is helpful to you

Answer:

your answer will be 5,190

Step-by-step explanation:

fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer

I am also not so good in Math so I still try to help u

What is 5 7/8 - 1 1/8

Answers

Answer to this equation:

4 3/4

Answer:

4.75

Step-by-step explanation:

This is what I got. have a nice day:)

What is the common difference for this arithmetic sequence? 45,39,33,27,21,...

Answers

Answer:

I expect the correct answer

_6

.

Answer:

6

Step-by-step explanation:

because if u minus 39 from 45 u get six and same for the others

Select all the correct answers.
Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t^3 - t^2 + 2t - 100, where
t is the number of tickets sold. The profits from the second theater can be represented by the expression t^2 - 2t - 300.
which statements are true about the expression representing Cineplex's total profits in that city?

Answers

Answers:

The total profit expression is a binomial.

The total profit expression is a polynomial.

The total profit expression has a constant term.

The total profit expression is a polynomial

The total profit expression is a binomial

The total profit expression has a constant term

The first step to determining which type of function it is, is to add the profits in both theatres together

(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400

A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.

Types of polynomials include :

1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.

An example is x + 2

The variable x is raised to the power of 1. 2 is the constant terms

2.  Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.

An example is 2x² + 10x + 25

3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.

An example is 5y³ + y²

4. Binominal function: this  is a function that contains only two terms.

An example is   t³ - 400

t³ - 400

The above equation of the total profit has a constant term which is -400

The above equation is a polynomial. This is because it has different types of variables.

The above equation is a binomial equation because it has only two terms  t³ and 400

In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.

To learn more about polynomials, please check: https://brainly.com/question/17822016?referrer=searchResults

Look at the rectangle and the square:


A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches

Sam says that the length of diagonal SQ is two times the length of diagonal OM.


Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.


(Sorry for the low quality image)

Answers

Answer:

Sam is incorrect

Step-by-step explanation:

We can calculate the lengths of the diagonals using Pythagoras' identity.

The diagonals divide the rectangle and square into 2 right triangles.

Consider Δ SRQ from the rectangle

SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )

SQ = [tex]\sqrt{180}[/tex] ≈ 13.4 in ( to 1 dec. place )

Consider Δ ONM from the square

OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )

OM = [tex]\sqrt{72}[/tex] ≈ 8.5 in ( to 1 dec. place )

Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4

Then diagonal OM is not twice the length of diagonal SQ

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