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2 years ago

Are the triangles similar? explain. please help

Mathematics

2 answers:

grin007 [14]2 years ago

5 0

Answer:

The triangles are similar.

Step-by-step explanation:

The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.

MrRa [10]2 years ago

5 0

Answer:

Yes

Step-by-step explanation:

<u>(i) By AA similarity</u>

Both have two equal angles, 40° and 60°, therefore they can be defined as similar by AA similarity

<u>(ii) By SSS similarity</u>

AB/DC = 32/40 = 4/5
BC/EF = 24/30 = 4/5
AC/DF = 36/45 = 4/5
As the ratio of the sides of both triangles are equal, they are defined as similar by SSS similarity

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He vertices of square pqrs are p -4,0 q 4,3 r 7,-5 and s -1,-18.Show that the diagonals of square pqrs are congruent perpendicul

Anit [1.1K]

Answer:

Step-by-step explanation:

The vertices of the square given are P(-4, 0), Q(4, 3), R(7, -5) and, S(-1, -18)

For this diagonal to be right angle the slope of the diagonal must be m1=-1/m2

So let find the slope of diagonal 1

The two points are P and R

P(-4, 0), R(7, -5)

Slope is given as

m1=∆y/∆x

m1=(y2-y1)/(x2-x1)

m1=-5-0/7--4

m1=-5/7+4

m1=-5/11

Slope of the second diagonal

Which is Q and S

Q(4, 3), S(-1, -18)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-18-3)/(-1-4)

m2=-21/-5

m2=21/5

So, slope of diagonal 1 is not equal to slope two

This shows that the diagonal of the square are not diagonal.

But the diagonal of a square should be perpendicular, this shows that this is not a square, let prove that with distance between two points

Given two points

(x1,y1) and (x2,y2)

Distance between the two points is

D=√(y2-y1)²+(x2-x1)²

For line PQ

P(-4, 0), Q(4, 3)

PQ=√(3-0)²+(4--4)²

PQ=√(3)²+(4+4)²

PQ=√9+8²

PQ=√9+64

PQ=√73

Also let fine RS

R(7, -5) and, S(-1, -18)

RS=√(-18--5)+(-1-7)

RS=√(-18+5)²+(-1-7)²

RS=√(-13)²+(-8)²

RS=√169+64

RS=√233

Since RS is not equal to PQ then this is not a square, a square is suppose to have equal sides

But I suspect one of the vertices is wrong, vertices S it should have been (-1,-8) and not (-1,-18)

So using S(-1,-8)

Let apply this to the slope

Q(4, 3), S(-1, -8)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-8-3)/(-1-4)

m2=-11/-5

m2=11/5

Now,

Let find the negative reciprocal of m2

Reciprocal of m2 is 5/11

Then negative of it is -5/11

Which is equal to m1

Then, the square diagonal is perpendicular

6 0

2 years ago

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample m

Georgia [21]

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46

- The sample mean after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

Cohen's d = $\frac{u2 - u1}{sd_p_o_o_l_e_d}$

- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:

$sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }$

- Assuming that population standard deviation and sample standard deviation are same:

SD_1 = SD_2 = σ = 4

- Then,

$sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4$

- The cohen's d can now be evaliated:

Cohen's d = $\frac{48 - 46}{4} = 0.5$

6 0

2 years ago

Divide -6/7 by 2/-3 please give answer very fast its urgent

defon

Answer:

0.14285714285

Step-by-step explanation:

divide on calculator and make sure to have negative sign before three, remember you are dividing fractions

I hope it helps! If not sorry :(

3 0

2 years ago

Read 2 more answers

CAN SOME ONE HELP ME ITS URGENT

aniked [119]

As we can observe from given information,

UT = ST

2x + 5 = x + 12

2x - x = 12 - 5

x = 7

now, let's solve for y

RU = RS

y - 4 = x + 5

y - 4 = 7 + 5

y = 12 + 4

y = 16

hope it helped...

5 0

2 years ago

The USS Enterprise was 1,123 feet in length.

Kitty [74]

Answer:

The scale for a model that is 30 inches long is 449.2 inches.

The scale for a model that is 2 feet long is 561.5 feet.

Step-by-step explanation:

Consider the provided information.

The USS Enterprise was 1,123 feet in length.

Part (A) What is the scale for a model that is 30 inches long?

1 feet = 12 inches.

First convert the length of USS enterprise in inches.

1×1,123 feet = 12×1,123 inches

1,123 feet = 13476 inches

Divide original length with the length of model.

The scale for the model is:

$\frac{13476}{30}=449.2\ inches$

Hence, the scale for a model that is 30 inches long is 449.2 inches.

Part (B) What is the scale for a model that is 2 feet long?

Since, both the units are in feet, so simply divide original length with the length of model.

The scale for the model is:

$\frac{1123}{2}=561.5\ feet$

Hence, the scale for a model that is 2 feet long is 561.5 feet.

6 0

2 years ago