HELP Please!!

Jonathan leans three playing cards against each other to form a triangle. He uses three more playing cards from the same deck to form a second triangle. Which statement is true?

1. In order to determine if the two triangles are congruent Jonathan must measure all three interior angles.

2. In order to determine the two triangles are congruent Jonathan must measure one interior angle .

3. The two triangles cannot be congruent because sides cannot be used to prove congruency.

4. The two triangles must be congruent because the corresponding sides in both triangles are congruent

Answer:

x = 42/17

y = -12/17

Step-by-step explanation:

4x - 3y = 12

3x + 2y = 6

use the elimination method (definition at the bottom of the page)

multiply both sides of the equation 4x - 3y = 12 by 2

8x - 6y = 24

multiply both sides of the equation 3x + 2y = 6 by 3

9x + 6y = 18

now, add the two equations:

17x = 42

x = 42/17

now, plug this into the equation 3x + 2y = 6

126/17 + 2y = 6

2y = -24/17

y = -12/17

Answer:

8504.09411765

Step-by-step explanation:

hope this helps!!!

Answer:

8504.09

Rounded to the nearest tenth is 8505

Answer:

1/4

Step-by-step explanation:

The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).

Scale factor = 4

Here, X(3, -4)→4(3, -4)→X'(12, -16)

Y(6, 5)→4(6, 5)→Y'(24, 20)

Z(8, -2)→4(8, -2)→Z'(32, -8)

Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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Answer:

area

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

Answer

189

Step-by-step explanation:

just is

Answer:

51

Step-by-step explanation:

There are 14 movie theaters, and 3 exits each.

You can multiply 14 by 3 to get the number of exits in the movie theaters combined.

Next, the food area has 9, so you add 9 to the 42.

42 + 9 = 51.

Hope this helps!

Answer:

there are 51 exits

Step-by-step explanation:

Answer:

8/55

Step-by-step explanation:

4/5 DIVIDED 5 1/2 = 8/55

Answer:

1100

55100=1100 x 55100

=1100x

Step-by-step explanation:

Hope it is helpful...

The required value of unknown number a would be 2000.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE need to determine 55% of what number is 1100.

Let the unknown number is a. then we get;

55% of a = 1100

55/100 of a = 1100

55/100 x a = 1100

Cross mulitiplication, we get;

55a = 1100 x 100

55a = 110000

Divide by 55, we have;

a = 110000/ 55

a = 10000/ 5

a = 2000

Therefore, the required value of unknown number a would be 2000.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ5

Answer:

Step-by-step explanation:

USE BOMDAS

do multiplication and brackets first

36+9+13X3

=45+39

=84

Answer:

The percentage change was of 11.73%.

Step-by-step explanation:

The percentage change of the increase is given by the change multiplied by 100 and divided by the initial value.

Price of £8.95 is increased to £10.

Change: 10 - 8.95 = 1.05

Initial price: 8.95

1.05*100/8.95 = 11.73%

The percentage change was of 11.73%.

Answer:

208

Step-by-step explanation:

16x13

Answer:

the answer to the question is

Step-by-step explanation:

43/50

Answer: the answer is 43/50

Answer:

2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

use the keep change change rule

13.75 - keep

  +     - change into minus

-11.25 - change into positive 11.25

Answer:

The movie ended at 4:15 PM

Step-by-step explanation:

=> It started at 2:30, when you add an hour to that it will become 3:30

=> Then you must add the 45 minutes to it

=> so it will be 3:75, however that is not a right answer and it is not logical

=> so you need to add the first 30 minutes which will give you 4:00

=> then add the rest which is 15 minutes

therefore, your answer is 4:15 PM

hope this helps and i hope it is not too confusing :)

Answer:

4:15

Step-by-step explanation:

Answer:

[tex]x = 30.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To find x, we make use of:

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this case, it is:

[tex]cos(36) = \frac{x}{38}[/tex]

Multiply both sides by 38

[tex]38 * cos(36) = \frac{x}{38}*38[/tex]

[tex]38 * cos(36) = x[/tex]

[tex]38 * 0.8090= x[/tex]

[tex]30.742= x[/tex]

[tex]x = 30.742[/tex]

[tex]x = 30.7[/tex] -- approximated

Answer:

68 degrees

Step-by-step explanation:

2 complementary angles make up a 90 degree angle.  

90 degrees - 22 degrees = 68 degrees

Answer:

d. 6cm, 6cm, 6cm

Step-by-step explanation:

each one of the rulers is lined correctly and shows that it is 6 cm

Answer:

it is 1/2

Step-by-step explanation:

The product of a lines slope M and the slope K of a perpendicular is -1:

M*K=-1

This implies

K=-1/M

since

M * -1/M=-1

In our example we are given a line of slope M=-2 therefore the slope K of a line to perpendicular to this line is:

M*K=-1

-2*K=-1

K=-1/-2=1/2

[tex]\frac{4}{5}(4+y)[/tex]

Answer:

138

Step-by-step explanation

Answer:

sorry

Step-by-step explanation:

I don't know ........

Answer: 8/30

Because I left the sink on ran away and left the room

Answer:

i think 30° gonna stay the same

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

Answer:

$7

Step-by-step explanation:

Recognize our numbers, I always say

14, 8, 56

"For every $14, he saves 8."

14-6=8

"He earned $56 babysitting..."

What times eight can give us 56?

56 divided by 8=7

8x7=56

Hope this helps!

Can I get brainliest please?

Answer:

21 weeks

Step-by-step explanation:

150*21=3150

3150+850=4000

Answer:

length is 6feet and width is 3 feet

Step-by-step explanation:

Area of the garden = LW

Perimeter of the garden = 2(L+W)

L is the length

W is the width

Given

Area = 18 square feet

Perimeter = 18feet

Substitute

18 = LW ... 1

18 = 2(L+W)

9 = L+W .... 2

From 2;

L = 9-W

Substitute into 1

18 = (9-W)W

18 = 9W-W²

W²-9W+18 = 0

W²-6W-3W+18 = 0

W(W-6)-3(W-6) = 0

W-3 = 0

W = 3 feet

Since L = 9-W

L = 9-3

L = 6feet

Hence the length is 6feet and width is 3 feet

Answer:

3 of the cities surveyed had only a professional sports​ team.

Step-by-step explanation:

We solve this question treating these as Venn sets.

I am going to say that:

Set A: professional sports team.

Set B: Symphony.

Set C: Children's museum.

We start building from the intersection of these three.

6 had all three activities.

This means that [tex]A \cap B \cap C = 6[/tex]

10 had a symphony and a​ children's museum,

This means that:

[tex](B \cap C) + (A \cap B \cap C) = 10[/tex]

[tex](B \cap C) + 6 = 10[/tex]

[tex](B \cap C) = 4[/tex]

That is, 4 have only the symphony and children's museum, while 6 have all three.

10 had a professional sports team and a​ children's museum

[tex](A \cap C) + (A \cap B \cap C) = 10[/tex]

[tex](A \cap C) + 6 = 10[/tex]

[tex](A \cap C) = 4[/tex]

14 had a professional sports team and a​ symphony

[tex](A \cap B) + (A \cap B \cap C) = 14[/tex]

[tex](A \cap B) + 6 = 14[/tex]

[tex](A \cap B) = 8[/tex]

21 had a professional sports team

This means that:

[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21[/tex]

In which (A - B - C) represents the cities which had only a sports team. So

[tex](A - B - C) + 8 + 4 + 6 = 21[/tex]

[tex](A - B - C) = 3[/tex]

3 of the cities surveyed had only a professional sports​ team.

Answer:

Step-by-step explanation:

tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16

Total cost = $45.09 + $3.16 = $48.25