A parallelepiped focuses on three-dimensional figures formed by six parallelograms.
<h3>How to explain the parallelepiped?</h3>
A parallelepiped shape has the following features
- They are three-dimensional figures
- They are formed by 6 parallelograms
- Opposite parallelograms are congruent
Think of a cube or a cuboid.
Notice that they contain squares and rectangles
A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid
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Answer:
24 and 21 are the two numbers
Step-by-step explanation:
let n represent the unknown number
let n-3 represent the second unknown number
n+n-3 = 45
2n-3=45
2n=45+3
2n=48
n=48/2
n=24
n-3=21
CHECK: 24+21=45
.˙. the first number is 24 and the second number with a difference of 3 is 21
Answer:
(-3, 0)
Step-by-step explanation:
We are given two linear functions:

And we want to find the point at which the two lines intersect.
At the point the two lines intersect, their y-values will be the same. In other words, we can set their functions equal to each other and solve for x. Thus:

Substitute:

Solve for x. Subtracting x from both sides yields:

And subtracting 12 from both sides yields:

Thus, the x-coordinate of the point where the two lines intersect is:

To find the y-value, we can use either function. Using the second function, we acquire:

(You will obtain the same result if you use the first function. Try it!)
Thus, the point of intersection is (-3, 0).
Answer:
(-7, 7)
Step-by-step explanation:
The formula for calculating the coordinate point is expressed as;
M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)
X = ax1+bx2/a+b
X = 2(-10)+3(-5)/2+3
X = -20-15/5
X = -35/5
X = -7
Y = ay1+by2/a+b
Y = 2(10)+3(5)/2+3
Y = 20+15/5
Y = 35/5
Y = 7
hence the required coordinate is (-7, 7)
Answer:
m
is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m
= 2 × 112° = 224°
m
= 224°.