Mathematics College

Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False

Based Only On The Information Given In The Diagram, It Is Guaranteed ThatAJKL ~ AWXY.27A63"A. TrueB.

Answers

Answer 1

Answer:

True

Step-by-step explanation:

Given

In JKL, we have:

[tex]\angle J = 27[/tex]

[tex]\angle K = 90[/tex]

In WXY, we have:

[tex]\angle Y = 63[/tex]

[tex]\angle X = 90[/tex]

Required

Is JKL ~ WXY?

In both triangles, we already have one similar angle (90)

Next, is to determine the third angles in both triangles.

In JKL

[tex]\angle J + \angle K + \angle L = 180[/tex]

We have that:

[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]

The expression becomes:

[tex]27 + 90 + \angle L = 180[/tex]

[tex]117 + \angle L = 180[/tex]

[tex]\angle L = 180-117[/tex]

[tex]\angle L = 63[/tex]

In WXY

[tex]\angle W + \angle X + \angle Y = 180[/tex]

We have that:

[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]

The expression becomes:

[tex]\angle W + 63 + 90 = 180[/tex]

[tex]\angle W + 153 = 180[/tex]

[tex]\angle W = 180-153[/tex]

[tex]\angle W = 27[/tex]

The three angles in JKL are:

[tex]\angle J = 27[/tex]    [tex]\angle K = 90[/tex]   [tex]\angle L = 63[/tex]

The three angles in WXY are:

[tex]\angle W = 27[/tex]   [tex]\angle X = 90[/tex]   [tex]\angle Y = 63[/tex]

By comparing the angles, we can conclude that  both triangles are similar because of AAA postulate (Angle-Angle-Angle)

Related Questions


Enter the rate of change of the table below

This is the table
X. Y

1 73

2 96

3 119

4 142



What is the rate of change



Answers

the rate of change is 23

There are 5 students in Mrs. Templeton's art class. Each student has 2 paintbrushes on his desk. Which of the following shows how to find the total number of paintbrushes in the classroom?

Answers

You would have 5 students and you would give them 2 paint brushes each and that would give you 10 because 5x2=10

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QUESTION GUIDES
3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
12 in
What is the height of the scale model in inches?
30 in.
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25 in.
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Answers

Answer:

30 inches

Step-by-step explanation:

240/20=12

12x2.5=30

Answer:

30 inches jrjdbdbrbejjr

Find 83 1/3 % of 384
Also, side info the answer is not 319.872

Answers

Answer:

320

Step-by-step explanation:

First, convert the percent into a fraction.

250/3*100 = 250/300 = 5/6

5/6 of 384 is 5 * 64 = 320

Answer:

320

Step-by-step explanation:

(83 1/3)% of 384 = 320

simplifyyyyyyyyyyyyyyyyyy

Answers

Answer:

Step-by-step explanation:

x^2 - 11x + 30 = (x - 6)(x - 5)

x^2 - 4 = (x + 2)(x - 2)

x^2 + 3x - 40 = (x + 8)(x - 5)

x - 2 = x - 2

Invert and multiply the right fraction.

(x - 6)(x - 5)           (x - 2)

===========   x   =======

(x - 2)(x + 2)          (x + 8)(x - 5)

x - 5 on the top cancels with x - 5 on the bottom

x - 2 on the top  cancels with x - 2 on the bottom left

So what's left?

(x - 6)

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

(x + 2)(x + 8)

This is likely the answer.

Answer:

[tex]\frac{x-6}{x^{2} +10x+16}[/tex]

Step-by-step explanation:

to much to explain

BRAINLIEST IF CORRECT HURRY
Which statements represent the relationship between y=3x and y=log3x ?

a. The graphs of functions are symmetric about the line y = 0.
b. The functions are inverses of each other.
c. The graphs of functions are symmetric to each other over the line y = x.
d. The equation ​ y=log3x ​ is the logarithmic form of ​ y=3x ​.

Answers

2 Answers: Choice B and Choice C

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

Explanation:

Choice A is false because all of [tex]y = 3^x[/tex] is above the x axis. There are no portions below the x axis, which means it cannot possibly be symmetric about the x axis.Choice B is true. The exponential undoes the log, and vice versa. This only works if the bases of the exponential and log are the same. In this case, both are base 3.Choice C is true. To visually find the inverse, we reflect over the line y = x.Choice D is false. Converting [tex]y = 3^x[/tex] to logarithmic form leads to [tex]x = \log_3(y)[/tex]. So you'll need to swap the x and y.

Write the formula to calculate the area of a triangle whose sides are unequal in length ​

Answers

Answer:

√S(S-A)(S-B)(S-C)

Step-by-step explanation:

S=(A+B+C)\2

where S= semi-perimeter

A,B and C are unequal length of triangle.

Answer:

the formula to calculate the area of a triangle whose sides are unequal in length is A=hb b/2

can someone show me how to do ones like this two

Answers

Just muiltply them I think by

Solve the equation. Then check your solution.

- 2/5 + a = 1/5

a. 3/5
b. - 1/5
c. 3/10
d. - 3/5​

Answers

Answer:

3/5 is the correct answer of the question

Answer:

The answer is

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Let's solve this equation!

[tex] - \frac{2}{5} + a = \frac{1}{5} \\ \frac{ + \frac{2}{5} \: \: \: \: \: \: = + \frac{2}{5} }{a = \frac{3}{5} } [/tex]

Round 48.47 to the ones place

Answers

Answer:

48.7 I think

Step-by-step explanation:

hears the sender buddy

Answer:

48.5 the 7 is close to 10 so it rounds the 4 to 5


I need help with my math homework

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

m= 7-1= 6

    5-3= 2

then you simplify    

    3

m= 1 which also equals 3

I am not very good at explaining on this but i hope this helps :)

Aaliyah is working two summer jobs, making $7 per hour walking dogs and making $10 per hour tutoring. In a given week, she can work no more than 17 total hours and must earn no less than $140. Also, she must work at least 2 hours walking dogs and at most 13 hours tutoring. If xx represents the number of hours walking dogs and yy represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

140 >/ 7x + 10y (read as 140 is greater than or equal to 7x plus 10y)

x + y /< 17 - to represent the number of hours she can work

she will work at least 10 hours walking dogs and at least 7 tutoring

Step-by-step explanation:

Find the value of x that makes the equation true:

x + 3 = 4

Answers

Answer:

x = 1

Step-by-step explanation:

Subtract 3 from both sides

x+ 3 - 3 = 4 - 3

gives x=1

There are 48 candies in a pack. Twelve are red. 18 are yellow. What is the ratio of reds to yellows?​

Answers

Answer is   5:3

This means the ratio of reds to yellows is 5 to 3

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

Work Shown

We have 48 candies total and 18 yellow. This means there are 48-18 = 30 red assuming there are no other colors.

The ratio of red to yellow is 30:18. We simply list the number of reds (30), followed by a colon, then the number of yellows.

(number of red):(number of yellow)

The order is important. We cannot swap the items. This is because "reds to yellows" in the instructions has "red" come first.

Once you have the ratio 30:18, you divide both parts by the GCF 6 and you'll end up with the final answer 5:3

So for every 5 red candies we have 3 yellow candies. We can say "the ratio of reds to yellows is 5 to 3".

The baker pays $0.60 per pound for sugar and $1.35 per pound for butter. Which expression shows how much the baker will spend
if he buys 4 pounds of butter and 10 pounds of sugar?

Answers

Answer: $6 for sugar and $5.40 for butter
Explanation: You need to multiply the amount it costs by the amount needed and you get the answers.
$0.60 x 10 = $6.00
$1.35 x 4 = $5.40

Solve for x.
2(3x – 4) + x – 1= –16

Answers

Answer:

x=-1

Step-by-step explanation:

it easy fhfhfhrbf

Answer:

-1

Step-by-step explanation:

6x-8+x-1=-16

7x-9=-16

7x=-7

x=-1

Find the errors and identify them
1. (x) (Ew) (y) (Abaxwy v (Ez) Bzzxy) p
2. ~Abaawc p
3. (Ew) (y) (Abaawy v (Ez) Bzzxy) UI, 1
4. (y) (Abaawy v (Ez) Bzzxy) EI, 3
5. Abaawc v (Ez) Bzzxy UI, 4
6. (Ez) Bzzxy DS 2,5
7. Byyxy EI, 6
8. (x) Byyxy UG, 7
9. (x) Byyxy v ~Axxaabb ADD 8
10. (Ez) ( (x) Byyzy v ~ Azzaabb) EG, 9 g

Answers

Answer:

this is confused me so much is it supposed to be a trick or is that a actual question-

sin θ = 12/37. Find tan θ.

Answers

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

[tex]12^2 + b^2 = 37^2[/tex]

b = 35

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35

Choice B is the correct answer.

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex]  <---- theta

so tan(18.9246) =12 /35

Which value is equivalent to the expression 4^5

Answers

Answer:

20

Step-by-step explanation:

Find the mean, median, and mode of the data set 8 2 7 2 6 5 ​

Answers

Answer:

Mean is 6, median 5.5, mode 2

Step-by-step

Answer:

mean=8+2+7+2+6+5

=30

30÷6=5

note: divide the total with it's sum.

median=7+2

=9

9÷2= 4.5

note: median is the middle no. since there is no middle no. so just add those two no. and divide it by 2.

mode= 2

since it occurs twice

3/2x+5=-3x-3 what is the value of x?​

Answers

3x x 2 + 5 = -3x - 3
6x + 3x = -5-3
9x = -8/-9 (we simplify the - )
Which means x = 8/9

Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

Answers

Answer:

The original amount was: P = $800

Step-by-step explanation:

Given

Interest I = $22.40

Interest rate = r = 2.8% = 0.028

time t =  1 year

Using the interest formula

I = Prt

I = InterestP = Principle or initial valuer = interest rate t = time (years)

substituting the values

I = Prt

22.40 = P (0.028) (1)          ∵ I = 22.40, r = 2.8% = 0.028, t =  1

P = 22.40 / 0.028

P = $800

Therefore, the original amount was: P = $800

it's D (800.00)

HAVE A NICE DAY

Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.

A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.​

Answers

Answer:

D. Yes, because f(x) = g(x) when x = 2.​

Step-by-step explanation:

Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2

-7/5x +4/5= x- 4

If x = 2

f(2) = -7/5 (2)+ 4/5

f(2) = -14/5 + 4/5

f(2) = -10/5

f(2) = -2

g(x) = x - 4

g(2) = 2-4

g(2) = -2

Since f(2) = g(2), hence the lines intersects at x = 2

Answer:  abidemiokin is ritgh

Step-by-step explanation:

Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving

Answers

Answer:

18 + m = 49 or 49 = 18 + m

Step-by-step explanation:

P.S Can I have brainliest?

What is the prime factorization of 48?

Answers

Answer:

2x2x2x2x3

Step-by-step explanation:

Solve #13 & #14 please ASAP!!!

Answers

Answer:

4th test is a great

Step-by-step explanation:

ok is the for this year as a family

OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe

Answers

Yes, one of the numbers has to be 48 because the mean of numbers is all the numbers added together, and then divided by how many numbers you added. In this case, we have the mean of 6 number is 48. Now if you think about it,
48*6 = 288
And if you divide 288 by 6, you get:
288/6 = 48.
To make it easier for you to understand, let’s do the original way of finding the mean of this, so :
48 + 48 + 48 + 48 + 48 + 48 = 288
There are six 48’s right? So we divide :

48+48+48+48+48+48
——————————— = 48.
6

Need help ASAP! I'll mark brainlyist

Answers

Step-by-step explanation:

(2+5i) equation goes to -20

(4+I) equation goes to -1

(3+2i) equation goes to 10

and the last one goes to 16

in the given figure, the side BC is produced to
the points o and E both sides. Prove that

ABE + ACD+ BAC = 180​

Answers

Can you please provide a picture so I can assist you with an answer to your question?

Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3

Answers

Answer:

The solution is:

[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

The graph of the solution is attached below.

Both the number line and graph is attached below.

Step-by-step explanation:

Note: you missed to add the graph options. Therefore, I am solving the inequality and adding the corresponding graph which would anyways clear your concept.

Given the inequality expression

[tex]6\:x\:-\:12\:-\:x\:\le \:3[/tex]

Group like terms

[tex]6x-x-12\le \:3[/tex]

Add similar elements: 6x-x=5x

[tex]5x-12\le \:3[/tex]

Add 12 to both sides

[tex]5x-12+12\le \:3+12[/tex]

simplify

[tex]5x\le \:15[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}\le \frac{15}{5}[/tex]

simplify

[tex]x\le \:3[/tex]

Therefore, the solution is:

[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

The graph of the solution is attached below.

Both the number line and graph is attached below.

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