Which of the following theorems verifies that A DEF - AXZY?
O A. LL
B. HA
C. HL
D. AA

Which Of The Following Theorems Verifies That A DEF - AXZY?O A. LLB. HAC. HLD. AA

Answers

Answer 1

HA

Step-by-step explanation:

See In Triangle DEF and Triangle XZY

[tex]\because\begin{cases}\sf \angle E=\angle Z=90° \\ \sf \ FD\sim XY=Hypotenuse\end{cases}[/tex]

Hence

[tex]\sf \Delta DEF\sim \Delta XZY(Angle-Angle)[/tex]

Answer 2

The theorems that verify that Δ DEF ~ Δ XZY is AA theorem of similarity.

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given that, two triangles, Δ DEF and Δ XZY, we need to find a theorem that will verify that, Δ DEF and Δ XZY are similar,

So, we have, ∠ X = 40°,

Therefore, ∠ Y = 90°-40° = 50°

Now, we get,

∠ Y = ∠ F = 50°

∠ E = ∠ Z = 90°

We know that,

if two pairs of corresponding angles are congruent, then the triangles are similar.

Therefore, Δ DEF ~ Δ XZY by AA rule

Hence, the theorems that verify that Δ DEF ~ Δ XZY is AA theorem of similarity.

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Related Questions

When f(x) = -3, what is x?
-29
-10
-3
-1

Answers

Answer:

The correct choice is option D. -1

Step-by-step explanation:

Find f(x) = - 3 on the table. When y = -3, what is the x value? Look on the right side, you can see it's -1, correct? So, f(x) = - 3 when x = - 1.

Simplify: - 6y^2 + 8y^3 - 4y^2 + y - 10y^3

Answers

Answer:

[tex]-6y^{2}+8y^{3}-4y^{2}+y-10y^{3}\\\\=(-6-4)y^{2}+(8-10)y^{3}+y\\\\=-2y^{3}-10y^{2}+y\\\\=y(-2y^{2}-10y+1)[/tex]

How do I solve (-4.25+8)-3.5 ?

Answers

Answer:

answer must be 0.5:

Step-by-step explanation:

by simplify formula BODMAS

You do the problem in parentheses first, so:
-4.25 + 8 = 3.75.
Then, you take your answer and apply the other operations to the answer from inside the parentheses:
3.75 - 3.5 = 0.25

A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. By what age have 80% of the plan participants passed away?

Answers

Answer:

By 71 years of age 80% of the plan participants have passed away.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 68 years and a standard deviation of 4 years.

This means that [tex]\mu = 68, \sigma = 4[/tex]

By what age have 80% of the plan participants passed away?

By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 68}{4}[/tex]

[tex]X - 68 = 4*0.84[/tex]

[tex]X = 71[/tex]

By 71 years of age 80% of the plan participants have passed away.

A teapot,which has a capacity of one and half litters, can fill six identical mugs with tea.what is the capacity of the six mugs altogether?​

Answers

Answer:250

Step-by-step explanation:



What is the image point of (4, -6) after a translation right 5 units and up 4 units?

Answers

Answer:

(9,-2)

Step-by-step explanation:

5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them.  Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)

If triangle ABC has one angle measuring 90o and one angle measuring 45o, which of the following is true?

Answers

ABC is a right angle

Third angle 45°

Its a isoceles Right Triangle because base angles are equal then two sides are also equal.

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look at the image below for the question !!!!!!

Answers

Answer:

136 cm2

Step-by-step explanation:

6*2=12    12*2=24

6*7=42   42*2=84

7*2=14    14*2=28

Add.

24+84+28=136

I hope this helps!

Please help on my hw

Answers

Answer:

x^2 - 7x - 30 = 0

Step-by-step explanation:

since solutions are 10 and -3

a factorised quad eqn can be formed:

(x-10)(x+3)=0

expand the eqn

x^2-7x-30 = 0 is the answer

a which matrix post multiplies to (1 3 3 4) to get (19 -3 75 13)​

Answers

Answer:

[19 -1 25 3.25]

Step-by-step explanation:

just take the elements from the resultant matrix and divide it by the corresponding elements in the given matrix to find the matrix that's being asked.

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(25x) and y = x^2/25. Find V by slicing & find V by cylindrical shells.

Answers

Explanation:

Let [tex]f(x) = \sqrt{25x}[/tex] and [tex]g(x) = \frac{x^2}{25}[/tex]. The differential volume dV of the cylindrical shells is given by

[tex]dV = 2\pi x[f(x) - g(x)]dx[/tex]

Integrating this expression, we get

[tex]\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx[/tex]

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

[tex]\sqrt{25x} = \dfrac{x^2}{25}[/tex]

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

[tex]25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1[/tex]

or

[tex]x^3 =(25)^3 \Rightarrow x = \pm25[/tex]

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

[tex]\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx[/tex]

[tex]\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx[/tex]

[tex]\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}[/tex]

[tex]\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2[/tex]

What is the answer to 11.24 divided by 9

Answers

Answer:

1.24

Step-by-step explanation:

oahsofhasdf0as0dfadera

Divide into two triangles in a straight line

Answers

Step-by-step explanation:

I am not sure but is this question like this

if it's not i am sorry

Write the expression in exponential form.
log . N = x

Answers

Answer:

N = x2

Step-by-step explanation:

Follpwing the format

Four friends go to the movies. How many different ways can they sit in a row?

Answers

Answer:

120 ways

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

Answer:

24

Step-by-step explanation:

4  friends

1st seat: 4 different people could sit here

Now there are 3 friends left

2nd seat: 3 different people could sit here

Now there are 2 friends left

3rd seat: 2 different people could sit here

Now there are 1 friends left

4th seat: 1 different people could sit here

4*3*2*1

24 ways

Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}

Answers

Answer:

B. domain {-2, 0, 2}, range {-1, 0, 1}

Step-by-step explanation:

The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)

The domain is the all of the values of x and the range is all the values of y.

Find the first six terms of the sequence.
a1=- 6, an= 4 • an-1

Answers

Answer:

I think it's 3

Step-by-step explanation:

because an=4 and the question is

an-1

=4-1

=3

Solve for x . 7 - (2 x + 11) + 3(3 - x ) = 20
A.7/5
B.-3
C.-4

Answers

Answer:

the answer to the question is a:-3

Which of the following is a geometric sequence? a. 5,-25,125,-625 b.2,4,16,48 c. 13,16,19,22 d. 100,50,0,-50

Answers

Answer:

a

Step-by-step explanation:

B isn't a geometric sequence as it's last term doesn't follow the rule

C is an arithmetic sequence

D is an arithmetic sequence too

0.6 reoccurring decimal as a fraction in the simplest term​

Answers

Answer:

3/5

Step-by-step explanation:

here,

0.6

in fraction = 6/10

in simplest form 6/ 10 both term can be divided by 2 so,

6/10 ÷2

= 3/5

Simplify (-2)-3⋅ (-2)4⋅

Answers

Answer: 22

Step-by-step explanation:

−2−(3)(−2)(4)

=22

The first season of the show breaking bad contain seven episodes but the second season of 13 episodes calculate the absolute and relevant change in the number of episodes from season one to season two of breaking bad

Answers

Answer:

Absolute = 13-7 = 6

if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286

as;  7 x 1.85714286 = 13

Step-by-step explanation:

The absolute change is 6 and relative change is 1.85

What is absolute and relative errors?

The size of the discrepancy between the exact value and the approximation is known as the absolute error. The absolute error is multiplied by the exact value's magnitude to get the relative error.

Given

Absolute = 13-7 = 6

if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286

as;  7 x 1.85714286 = 13

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find the probability of rolling a sum of a three first and then a sum of nine when a pair of dice is rolled twice

Answers

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

Emily and Kate were at a cheerleading competition this fall.They cheered 12 rounds. Each round lasted 8.24 minutes. Calculate the total number of minutes, Emily cheered and the total number of minutes Kate cheered at the competition

Answers

Answer:

98.88

Step-by-step explanation:

Given: They cheered 12 rounds. Each round = 8.24

To find the total number, multiply how much one round is with the total number of rounds.

  8.24

×     12

-----------

  1648

+ 8240

----------

98.88

Each girl cheered 98.88 minutes. If you need this estimated, the answer would be 99 minutes.

Find the value of 21 - 18 \ 3•2
18
1/2
2
9

Answers

Answer:

use m a t h w a y

Step-by-step explanation:

Write the relation between hypotenus perpendicular and base​

Answers

Answer:

the area of the square on the hypotenuse is equal to the sum of the areas of squares of perpendicular and base".

I’m so confused on this I need help thanks so much!

Answers

Answer:

2.5 or 5/2

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the lines and not by the lines themselves.

but that also means they are equal.

8x + 15 = 4x +25

4x = 10

x = 10/4 = 5/2 or 2.5

A $22,000 loan was taken out. If $24,805 is due at the end of the loan after being compounded daily at 2.5%, how many
years was the loan for? (Round to the nearest tenth of a year)
Provide your answer below

Answers

9514 1404 393

Answer:

  4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

  t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.

Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

x = 55.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hypotenuse

cos x = 9/16

Taking the inverse cos of each side

cos^-1 (cos x) = cos^-1 (9/16)

x=55.77113

To the nearest tenth

x = 55.8

Answer:

Relative to x, the side of 16 is the hypotenuse, and the side of 9 is adjacent.

So we think, what trigonometric property relates hypotenuse and adjacent sides of a right triangle?

SOH CAH TOA

We can use the COSINE function to solve in this case, as we have both  the ADJACENT SIDE (A) and the HYPOTENUSE (H).

Cosine = Adjacent/Hypotenuse

Cosine (x) = 9/16

Angle x = 55.8 degrees.

Let me know if this helps!

If 40 men working on a U.S. government project can complete the job in 100 hours, how many men would be required to complete the job in 80 hours?

Answers

Answer:50

Step-by-step explanation:(40x100):80

Answer: 50 workers

Let the ratio be

(40×100):80

= 400/80

= 50

Therefore 50 workers will complete the same work in 80 hours.

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