How to i find the missing 2 angles
how to i find the missing 2 angles - 1

Answers

Answer 1
Answer:

Answer:

therefore, x is 71 degrees

Step-by-step explanation:

we know that the exterior angle is 142 degrees.

we also know that we have to find x, which is labeled two times as an interior triangle (in the same triangle), so they must be the same degree.

there are different ways to solve this but the easiest way is this:

exterior angle = opposite interior angle 1 + opposite interior angle 2

142 degrees = x + x

142 degrees = 2x

142/2 = x

x = 71

therefore, x is 71 degrees


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A faucet leaks 4 oz. of water per minute. How many gallons of water are wasted in a year? (128 oz. = 1 gallon)
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Write three powers with whole-number bases that have values greater than 120 and less than 130. The three powers, in order from least to greatest, are , , and .
Is a triangle with sides of 9in, 25in, 24in a right triangle

If the volume of a cube is 27 cubic meters, find the surface area of the cube

Answers

The formula for surface area of a cube is 6*e*e or 6e squared.

The formula for volume is e*e*e

The answer to your question would be 3 because 3*3*3 then 9*3=27 

Answer:

54square meters

Step-by-step explanation:

Volume of cube = a^3

27=a^3

a=∛27

a=3

Surface area of cube = 6a^2

Surface area=6*3^2

Surface area=6*9

surface area=54

A sphere fits snugly inside a cube with 6-in. edges. what is the approximate volume of the space between the sphere and cube to the nearest whole number?

Answers

Answer:

103 cube inches

Step-by-step explanation:

Since sphere fits snugly  inside a cube therefore diameter of sphere will be equal to side of the cube [ which is given to be 6 inches ]

diameter = 6 inches

radius = (diameter )/(2)

            = (6 )/(2)

             = 3 inches

Volume of the sphere is given by (4)/(3)\pi r^3

           here r =3 inches

therefore volume is=  (4)/(3)\pi 3^3

                             = 36 pi

                              = 36 ( 3.142)

                              = 113.097 cube inches

Volume of Cube = side x side xside =   6x6x6 = 216 cube inches

Volume of space between sphere and cube = 216 - 113.097= 102.9  cube inches , nearest whole number is 103 cube inches

Volume of cube=s^3
s=6
V of cube=216
Volume of sphere=(4/3)pi(r^3)
r=3, if diameter=6
(4/3)(pi)(3^3)
V of sphere=36pi
Vcube-Vsphere=102.9026645
=103

Which set of ordered pairs does not represent a function?O{(-2,5), (0, -9), (8,-2), (7,4)}
O{(-3,4), (-5,4), (7, -3), (2, -9)}
O {(2, -9), (-5, -1), (-6, -3), (-5,7)}
O {(1, -8), (-9,-2), (-4,0), (4, -8)}

Answers

Step-by-step explanation:

{(2, -9), (-5, -1), (-6, -3), (-5,7)}

-5 appears twice ( this is not allowed for the function)

Which of these properties of a rigid transformation is exclusive to translations?The measures of the angles and sides in the preimage are preserved.

The points in the preimage lie in the same plane as the points in the image.

All the points in the preimage are shifted the same distance.

The orientation of sequences of points in the preimage are always preserved.

Answers

The properties of a rigid transformation is exclusive to translations is teh phrase "The points in the preimage lie in the same plane as the points in the image". The rest of the statements do not answer the question above.

Answer with explanation:

There are four kind of Rigid transformation that can take place in a two dimensional or Three dimensional geometrical Shape

1. Rotation

2. Reflection

3.Dilation

4. Translation

When we translate a geometrical shape , the Preimage , shifts from one position to another position in  the plane in which it lies ,without changing the shape ,size ,and Interior angle of the PreImage.  

→→I have described first three properties ,which are true to translation by taking a triangle ,having vertices , (0,0), (0,1) and (1,0).

Now, translating the triangle , by 1 unit right and 1 unit up,got the triangle having vertices, (1,1),(1,2) and (2,1).

Option 4 : The orientation of sequences of points in the pre image are always preserved, is the property of a rigid transformation that appears exclusive to translations.

A boat costs $19,200 and decreases in value by 12% per year. How much will the boat be worth after 5 years?

Answers

Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
12% = $2,304
19,200 - 2,304 = 16,896 (year 1)
Repeat this until you have your 5th year :)

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

x=-1,-7

Step-by-step explanation:

x^2+8x+7=0 where a \neq 0 so a = 1 b = 8 c = 7

Quadratic Formula: x=-b(√(b^2-4ac) )/(2a)

x=-8(√(8^2-4(1)(7)) )/(2(1))

x=-8(√(64-28) )/(2)     Evaluate the exponent and multiply 4ac

x=-8(√(36) )/(2)          Subtract b^2 - 4ac and multiply 2a

x=-8(√(6) )/(2)           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7