ASA and AAS Congruence
State if two triangles are congruent. If they are, state how you know.

The value of x in degrees will be  x=78.46

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.There are different angles like Cos,Sin,tan,cosec,sec and cot in the trigonometry.

It is given that:

We have the value of CosX=0.2 we will take inverse of the value 0.2 and find the angle X. after taking the cos inverse of the value 0.2 we found out the angle X=78.46

Cos X   =     0.2

X      =    Cos¹ 0.2

X      =     78.46°

Hence the value of x in degrees will be x=78.46

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Step-by-step explanation:

in its basic structure such a prism is like a cube (just rectangular and not squared) : 6 sides (rectangles).

2 rectangles top and bottom 6×8 = 48 m²

48 × 2 = 96 m²

2 rectangles front and back 6×4 = 24 m²

24 × 2 = 48 m²

2 rectangles left and right 8×4 = 32 m²

32 × 2 = 64 m²

the total surface area is

96 + 48 + 64 = 208 m²

it is hard to find other integer dimensions for the same surface area.

but as long as we are not restricted to integer numbers :

let's cut e.g. the height in half.

and we get

2 rectangles left and right 8×2 = 16 m²

16 × 2 = 32 m²

that "nails" already 2 dimensions (width and height).

we need to set now the third dimension (length) to create the same surface area :

length×8×2 + length×2×2 = 208 - 32 = 176

20×length = 176

length = 8.8 m

so, with

length = 8.8 m

width = 8 m

height = 2 m

we still get

2 rectangles top and bottom 8.8×8 = 70.4 m²

70.4 × 2 = 140.8 m²

2 rectangles front and back 8.8×2 = 17.6 m²

17.6 × 2 = 35.2 m²

2 rectangles left and right 8×2 = 16 m²

16 × 2 = 32 m²

as total surface area

140.8 + 35.2 + 32 = 208 m²

Conversion:

1 feet = 12 inch

Explanation:

a) 19 inch = 12 inch and 7 inch =  1 feet and  7 inch

b) 38 inch = 36 inch and 2 inch =  3 feet and 2 inch

Answer:

triangular pyramid

..................

Using the z-distribution, it is found that the desired measures are given as follows:

At the null hypotheses, it is tested if the mean is of 61.5, that is:

[tex]H_0: \mu = 61.5[/tex]

At the alternative hypotheses, it is tested if the mean is less than 61.5, that is:

[tex]H_1: \mu < 61.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 59.1, \mu = 61.5, \sigma = 17.6, n = 34[/tex]

Hence, the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{59.1 - 61.5}{\frac{17.6}{\sqrt{34}}}[/tex]

z = -0.795.

We have a left-tailed test, as we are testing if the mean is less than a value, with z = -0.795. Hence, using a z-distribution calculator, the p-value is of 0.2133.

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Answer:

4/6

Step-by-step explanation:

each number on the cube has a 1/6 Probability of getting chosen, so since we want the Probability of not choosing these 2 numbers there's 4 numbers out of six that we could get, making it 4/6

Answer: The probability would be 2/4 because there is a chance that a 2 or 5 can be rolled and there is only one two and five and 4 other numbers.

Step-by-step explanation:

Check the picture below.

so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36[/tex]

Answer:

33 and 25

33 + 25 = 58

33 x 25 = 825

Answer:

[tex]\sqrt{20}[/tex] or 4.472

Step-by-step explanation:

Value of 20

Answer:

Step-by-step explanation:

Elizabeth's family went to NYC for their vacation. At the gift shop on Liberty Island, Scott bought four t-shirts and five keychains for $291, and Michelle bought seven t-shirts and six key chains for $424. Find the price of each item. Each t-shirt is $31 and each keychain is $34 Each t-shirt is $37 and each keychain is $30 Each t-shirt is $30 and each keychain is $37 Each t-shirt is $34 and each keychain is $31 > Next Question

Previous question

Answer:

They would be paying $189

The amount of money that the customer paying for 7,000 pieces is $189.

An equation is an expression that shows the relationship between two or more variables or numbers.

Number of bags for 7000 pieces = 7000/500 = 14

Cost for 7000 pieces = $0.03 * 7000 = $210

Discount = 210 - (0.1 * 210) = $189

The amount of money that the customer paying for 7,000 pieces is $189.

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Answer:

let xtake the part to be 1.2

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3[/tex]

Answer:

If the slope is 7/4x : y=-4/7x-6/7

Step-by-step explanation:

1) Find reciprocal of slope: 7/4 becomes -4/7

2) insert into equation y=mx+b: y=-4/7x+b

3) solve for "b" by substituting x and y with the point (2,-2): -2=-4/7(2)+b

b=-6/7

4) write final equation: y=-4/7x-6/7

Answer:

the slope is 3

Step-by-step explanation:

[tex]13 \frac{1}{8} [/tex]

is the required answer

Answer

great common factor of 14 and 21 is 15. so your answer is 15

Answer:

yee yee I'm a rodeo cowboy and I don't know what you mean brother

Answer:

answer is B, 9 units

Step-by-step explanation:

Answer:

C) 15.5 units

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Question 1

Question 2

Question 3

Question 4

let's firstly convert the mixed fractions to improper fractions, and then get their product.

[tex]\stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} ~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\cdot \cfrac{11}{4}\implies \cfrac{(5)(11)}{(4)(4)}\implies \cfrac{55}{16}\implies 3\frac{7}{16}[/tex]

Answer:

16

Step-by-step explanation:

First, sub in the variables for the given numbers.

12 - 2(2) + 8

Then, use PEMDAS to find your answer.

12 - 2(2) + 8

12 - 4 + 8

8 + 8

16

Last, you get 16.

Step-by-step explanation:

-7a - a

Take common -a from that equation

-a(7+1)

= -8a

Easy peasy

Answer:

- 8a

Step-by-step explanation:

- 7a - a

= - 7a + (- a)

= - 8a

____

Hope it helps ⚜

Answer: $7000

Step-by-step explanation:

7 * 1000 = $7000

Answer:

76°

Step-by-step explanation:

Arc RP = 104

Major arc RPA = 180 (half a circle)

180-104 = 76

Arc AP = 76, so Angle 5 = 76

Central Angles and their arcs are equal

Answer:

76°

Step-by-step explanation:

Finding m∠4 :

Finding m∠5 :

Step-by-step explanation:

867.5x ×2.8

is is equal to 2429x