In the diagram, the ratios of two pairs of corresponding sides are equal.

Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is blank, side Y Z is 9, and side Z X is 6.

To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that

∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y

Answers

Answer 1

Answer:

∠N ≅ ∠Z

Step-by-step explanation:

In the Side-Angle-Side (SAS) similarity theorem, the included angle of the two given sides of a triangle is also given. This theorem relates two legs of a triangle with the angle formed by the legs.

Comparing the sides of △LMN and △XYZ, it would be observed that the corresponding sides of △XYZ has a scale of 3. So to prove that △LMN ~ △XYZ by the SAS similarity theorem, it would be required to also show that ∠N ≅ ∠Z.

Answer 2

Answer:

A)  ∠N ≅ ∠Z

Step-by-step explanation:


Related Questions

assume abc=def. if ab=5, ac=9 and ef=7, what is the length of bc?​

Answers

Answer:

bc=  7

Step-by-step explanation:

factorise [tex]x^{2} - 121[/tex]

Answers

Answer:

(x+11)(x-11)

Step-by-step explanation:

Hello!

We are given the expression x²-121, and we want to factor it

The expression is a difference of squares expression.

The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)

121 is 11 squared, and x² is x squared

So that means that a=x, and b=11 in this case

Now substitute those values into the formula

a²-b²=x²-121=(x+11)(x-11)

Hope this helps!

Answer:

(x-11)(x+11)

Step-by-step explanation:

x^2 -121

x^2 -11^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(x-11)(x+11)

Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2

Answers

Answer:

3x=10

Step-by-step explanation:

x=10-3

x=7

i hope this answer will help u

Answer:

4x = 47x+2

Step-by-step explanation:

Using the one–to–one property, you can set x = 7x + 2.

Help me solve for t please

Answers

Look at the answer down here please

Answer:

[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]

Step-by-step explanation:

[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]

Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 5 feet and the sides have a length of 12 feet. He also
measured one diagonal to be 13 feet. What is the length of the other
diagonal?
O A. 12 feet
B. 13 feet
O C. 5 feet
O D. 17 feet

Answers

Answer:

13

Step-by-step explanation:

The diagonals of rectangle are equal in length.

13. The diagonal is the same either way

What is the estimate for 312+138+207

Answers

Answer:

657

Step-by-step explanation:

312 + 138 + 207

= 450 + 207

= 657

Answer:

600

Step-by-step explanation:

To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.

312: there is one in the tenths place, so it will stay as 300.

138: there is three in the tenths place, so it will stay as 100.

207: there is a zero in the tenths place, so it will stay as 200.

If you are doing it with the one's place, it is the same method. Either round up or down.

300 + 100 + 200 = 600

The answer is 600.

Help help help help help help help help help help help help

Answers

Answer:

$32.07

Step-by-step explanation:

I am not sure - are we seeing the full information about this problem ?

because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...

either total cost means including tax or not including tax. but it cannot mean both ...

I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.

I will solve this now based on this assumption.

100% = $30.25

1% = 100%/100 = 30.25/100 = $0.3025

6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82

the total price is then calculated either by

100% + 6%

or by

106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07

in both cases we get the same result, of course.

Answer:

32.171

Step-by-step explanation:

how many subsets can be formed of a set A={a,b}​

Answers

Answer:

4

Step-by-step explanation:

(a,a),(a,b),(b,a),(b,b)

The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.

Answers

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

resolve (5x+4) /( (x-4)( x+2))

Answers

Answer:

Step-by-step explanation:

Hello!

(5x+4) /( (x-4)( x+2))

(5x+4)/ (x² +2x -4x -8)=

(5x+4) /( x²-2x -8)

what is the area of the figure below?

Answers

Answer:

15x^9

Step-by-step explanation:

A=l x w

5x^4 times 3x^5 is basically 3*5*x^4*x^5

when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9

Find the length of AC

Answers

Answer:

B. 9.35

Hope this helps...Have a good day!!

explanation would be appreciated. i don’t understand

Answers

Answer:

[tex]28\sqrt{3}[/tex]

Step-by-step explanation:

The area of the big triangle is 1/2 b h =  1/2*6*(12^2 = 6^2 + x^2)

that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]

the small triangle are needs to be subtracted....

[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...

1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]

just subtract the two areas

Answer:

(B) 28√3

Step-by-step explanation:

The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.

Area of triangle CDE:

Triangle ABC is equilateral. All sides have length 12.

AB = BC = AC = 12

BE = 8

BE + EC = BC

8 + EC = 12

EC = 4

In an equilateral triangle, all angles measure 60°.

m<C = 60°

m<CDE = 30°

Triangle CDE is a 30-60-90 triangle.

DE = EC√3

DE = 4√3

area of triangle CDE = bh/2

area of triangle CDE = (EC)(DE)/2

area of triangle CDE = (4)(4√3)/2

area of triangle CDE = 8√3

Area of triangle ABC:

Side AC is a base of triangle ABC.

AC = 12

(1/2)AC = 6

The altitude of triangle ABC from side AC to vertex B measures

h = 6√3

area of triangle ABC = bh/2

area of triangle ABC = (AC)(h)/2

area of triangle ABC = (12)(6√3)/2

area of triangle ABC = 36√3

area of quadrilateral ABED = area of triangle ABC - area of triangle CDE

area of quadrilateral ABED = 36√3 - 8√3

area of quadrilateral ABED = 28√3

SEE QUESTION IN IMAGE

Answers

Answer:

(b)

Total frequencies:

25 - 4 = 21

Multiples of 3 or 5:

6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10

Required probability:

P(3x or 5x) = 10/21

(c)

Limes = 10 + 6 = 16Apples = 8 + 6 = 14Total = 16 + 14 = 30

(i) Good limes = GL = 10

P(GL, GL) = 10/30*9/29 = 3/29

(ii) Good fruits = GF = 10 + 8 = 18

P(GF, GF) = 18/30*17/29 = 51/145

(iii) Good apple = GA = 8, Bad lime = BL = 6

P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145

If sec^2 teta (1+sin teta) (1-sin teta) = k, find k

Pls help no spamming

Answers

Identities to be used :-

[tex]\boxed{\sf 1-sin^2\theta=cos^2theta}[/tex]

[tex]\boxed{\sf cos^2\theta=\dfrac{1}{sec^2\theta}}[/tex]

Solution:-

Let's do

[tex]\\ \sf\longmapsto k=sec^2\theta(1+sin\theta)(1-sin\theta)[/tex]

[tex]\\ \sf\longmapsto k=sec^2\theta(1-sin^2\theta)[/tex]

[tex]\\ \sf\longmapsto k= sec^2\theta(cos^2\theta)[/tex]

[tex]\\ \sf\longmapsto k=sec^2\theta\times \dfrac{1}{sec^2\theta}[/tex]

[tex]\\ \sf\longmapsto k=1[/tex]

[tex]\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

[tex] \sec^{2} θ(1 + \sinθ)(1 - \sinθ) = k[/tex]

[tex] \sec^{2} θ \: (1 - { \sin}^{2} θ) = k[/tex]

[tex] { \sec }^{2} θ \cos^{2} θ = k[/tex]

[tex] \sec ^{2} θ. \frac{1}{ {sec}^{2}θ } = k[/tex]

[tex]1 = k[/tex]

Therefore:

[tex] \color{red}k = 1[/tex]

Instructions: Find the missing side. Round your answer to the nearest tenth.
х
28°
25

Answers

Ans : 22

if my ans wrong im srry

Answer:

25 +28+x=180

53+x=180

x=180_53

x=127

PLS TELL ME HOW TO FIND THIS ANGLE

Answers

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70


Yesenia drove 45.3 miles on Monday and 3.8
miles more on Tuesday. How many miles did she
drive in all?

Answers

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

A system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3).


On a coordinate plane, a line goes through (0, 3) and (2, 5).

What is the solution to the system of equations?

(–1, 2)

(1, 3)

(8, 11)

(9, 12)

i really dont get this at all can someone help me and explain

Answers

Answer:

(8,11)

Step-by-step explanation:

1st line

y = x+ 3

We need to find the equation of the other line

We have two points (3, 1) and (4, 3)

Slope

m = (y2-y1)/(x2-x1)

   = ( 3-1)/(4-3)

   = 2/1 = 2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y =2x+b

Using the point (4,3)

3 = 2(4)+b

3 = 8+b

3-8=b

-5 =b

y = 2x-5

We have 2 lines

y =x+3 and y = 2x-5

Setting them equal to each other

x+3 = 2x-5

Subtract x from each side

x+3-x = 2x-5-x

3 = x-5

Add 5 to each side

3+5 =x-5+5

8=x

Now we can find y

y =x+3

y = 8+3

y=11

Answer:

c (8,11)

Step-by-step explanation:

Find the value of x to the nearest tenth.

Answers

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Select the correct answer from each drop-down menu.
The table shows certain values of a cubic function.

Answers

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

Find the measure of the missing angle.
156°
a =

Answers

Answer:

Below!

Step-by-step explanation:

A straight line = 180 degrees, so all you need to do to find angle a is to subtract 156 from 180!

180 - 156 = 24 degrees

Hope this helped!

Find the 5th term of each geometric sequence. 32,80, 200

Answers

Answer:

12.8

Step-by-step explanation:

What is the domain of g(x)
X is a real number

Answers

Answer:

The doing would be x

Step-by-step explanation:

since you are calculating domain for a specific value it would be the corresponding g(x) value which is the domain

A body recieves impluse of 24Ns and 35Ns inclined 55° to each other.Calculate the total impulse​

Answers

Answer:

Se determina mediante al auxilio del cálculo integral.

Supongamos una fuerza variable con el tiempo. Entonces el impulso es:

J = ∫F(t) dt, para t entre t y to

Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.

Step-by-step explanation:

equation of the line which passes through point (0,5) at gradient of - 1​

Answers

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5

y = - x + 5 ← equation of line

use the prime factors of 3136 and 2744 to evaluate:✓3136/3✓2744​

Answers

Answer:

3136 = 2^6 × 7^2

2744 = 2^3 x 7^3

✓3136/3✓2744​ = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14

Find the length of UC? Please help

Answers

Answer:

The choose C. 18

Step-by-step explanation:

UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18

I hope I helped you^_^

Which graph represents the step function f(x)=⌊x+2⌋?

Answers

Answer:

biyotiptol graph by using pen

the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?

wt = ____

Answers

Answer:

w = 15 (4^t)

Step-by-step explanation:

Let w be what the function is equal to

Let t be the input variable

equation :

w = k a^t

Plug in any two of the points to solve for k and a

for example, let's take (1, 60) and (2, 240):

60 = k * a^1

k = 60 / a

240 = k a^2

Substituting:

240 = 60/a (a^2)

a = 4

k = 15

The function is

w = 15 (4^t)

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