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
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
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 =
=
= 3 inches
Volume of the sphere is given by
here r =3 inches
therefore volume is=
= 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
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)}
Step-by-step explanation:
{(2, -9), (-5, -1), (-6, -3), (-5,7)}
-5 appears twice ( this is not allowed for the function)
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.
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.
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:
Step-by-step explanation:
where a 0 so a = 1 b = 8 c = 7
Quadratic Formula:
Evaluate the exponent and multiply 4ac
Subtract b^2 - 4ac and multiply 2a
Solve for the sqrt root of 35
x = - 8 ± 6/2 =
x = - 8 + 6/2 = -1
x = - 8 - 6/2 = -7