Which congruence theorem can be used to prove WXS = YZS?

O SSS
O ASA
O SAS
OHL

Answer:

1. SOH CAH TOA

Sine Opposite Hypotenuse, Cosine adjacent hypotenuse, tangent opposite adjacent

2. 24

Answer:

ok

Step-by-step explanation:

cool

Answer:8/15

Step-by-step explanation:

Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]

Further, the sides can be written as,

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]

Now, the Tan(∠H) can be written as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

Substituting the value for the ∠H in ΔHJG,

[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]

As the ratio is already known, therefore,

[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]

Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Answer:

It’s 2.5 minutes per mile

Step-by-step explanation:

Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

We know that,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

Using the trigonometric ratios, we get

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Hence, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Answer:

Calculating the means:

Sum each length from each sample and divide it by the number of worms.

Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5

Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5

They each have the same sample mean.

Ranges: Take the largest length and subtract the smallest.

Sample 1: 27 - 19 = 8

Sample 2: 26 - 23 = 3

Sample 1 has a greater range.

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

A semi circle is half a full circle. Find the area of the full circle and divide it by 2.

Area of a circle = pi x r ^2

R is half the diameter

Area of full circle:

Area = 22/7 x 21^2

Area = 1386 sq. Ft

Area of stage = 1386/2 = 693 square feet

Answer:

3.14 x 42 x 42 = 5538.96ft

If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.

Step-by-step explanation:

:))

Answer:

2+3=5(x-4) ,

=5(x-4)

=5x-4

=1x

Answer:

a=3

d=19-3=16

recall that:Tn=a+(n-1)d

T100=3+(100-1)16

=3+99×16

=3+1584

=1587

Therefore T100=1587

Answer

number of side(n)=6

formula to calculate each interior angle =((n-2)×180)/n

now,

((6-2)×180)/6

(4×180)/6

720/6

120

may this will help you

Answer:

120°

Step-by-step explanation:

n = 6

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]

Step-by-step explanation:

f(x) = 2x²+ 8x -1

f(6) = 2(6) + 8(6)-1

= 13 + 48 - 1

= 61-1

= 60.

Step-by-step explanation:

(-1/2, 4)

how's this helps

Answer:

P equals 18 because 8 plus 10 is 18.

Step-by-step explanation:

Answer:

A + B + C + D = 52.35

Step-by-step explanation:

Here, we want to get the sum of A, B , C and D

from the question, s represents the number of small candies

L represents the number of large candies

Let us start with the cost;

small candies cost 10 cents; that is same as 10/100 = $0.1

large candies cost 25 cents, that is same as 25/100 = $0.25

so therefore, A is 0.1 and B is 0.25

C and D represents the total number of candies bought and that is 52

So, the sum of A, B , C and D is ;

0.25 + 0.1 + 52 = 52.35

Answer:

z^1/7

Step-by-step explanation:

trust me

Answer:

5/6

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation: 1 whole would be 6/6 and 5/6 is very close to 1 whole

Answer:

1)12 people voted

2)60mph

Step-by-step explanation:

Answer:

The height is 7 inches

Step-by-step explanation:

Given

[tex]Base\ Area = 15in^2[/tex]

[tex]Volume = 105in^3[/tex]

Required

Determine the height [missing from the question]

The volume of a hexagonal prism is:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

[tex]Height = \frac{105in^3}{15in^2}[/tex]

[tex]Height = \frac{105in}{15}[/tex]

[tex]Height = 7in[/tex]

Answer:

+1/5

Step-by-step explanation:

Answer:

First estimate:

63% is kind of close to 60%

41 is kind of close to 40

its easy to compute 60% of 40 - it's 24

Second estimate:

14% is close to 15%

96 is close to 100

15% of 100 = 15

Answer:

1st one is 25.83, so estimate that so it shud be like 24

Step-by-step explanation:

Answer:

9y

Step-by-step explanation:

Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong

Answer:

D) [tex]8\sqrt{3}[/tex]

Step-by-step explanation:

a² + b² = c²

x² + 8² = 16²

x² + 64 = 256

x² = 192

[tex]\sqrt{x^2} =\sqrt{92} \\x=8\sqrt{3}[/tex]

Answer:

use proportions??

Step-by-step explanation:

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do

this i am only in 5th grade yikes

Answer:

PROBABLY ABOUT 27 OR 26.6666666667

Answer:

Ben's Score = 60

Sam's Score = 20

Step-by-step explanation:

60 + 20 = 80

I really don't know how to explain this.

1, 140 °

2, 40°

3, 100 °

4, 100°

5, 40°

6, 90 °

7, 120 °

8, 130 °

Step-by-step explanation:

1, BOA IS EQUAL TO FOH = 140°

2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°

3, BOA° + GOF° =40° + 60° = 100 °

4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°

5, COD = HOG =40 °

6, EOD= AOG = 90°

7, AOD = GOE + COD = 100° + 40 ° = 140°

8, BOG = 140 °

Answer:

i,m no smart sorry

Step-by-step explanation:

Answer:

I think the answer is 7x+ 6a

Step-by-step explanation:

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)

3 (-6x) + 5 (1a) -2 (6x)

3x + 6a + 4x

= 7x+ 6a answer!

Answer:

15/8

Step-by-step explanation: