Answer:
- The numbers are 8 and 10.
Step-by-step explanation:
Let the numbers be x and y.
The sum of two numbers is eighteen:
The total of three times the smaller and twice the larger is forty-four:
Solve the system by substitution:
Substitute x and solve for y:
- 3(18 - y) + 2y = 44
- 54- 3y + 2y = 44
- 54 - y = 44
- y = 54 - 44
- y = 10
Find x:
Answer:
Triangular Prism
Step-by-step explanation:
Given
The sketch in the attached diagram
Required
Determine the shape it represents
Analyzing the options 1 after the other
Triangular Prism:
This has 5 sides; 2 of which are triangles while the other are rectangles
Rectangular Prism
This, in other words represents a cuboid
Triangular Pyramid
This has 4 sides, all of which are triangles
Rectangular Pyramid
This has 5 sides; 4 of which are triangles while the last is a square of rectangle.
From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing
Answer:
2x +2x=90
ZRQ
Step-by-step explanation:
FOR THE FIRST ONE, SUM OF ANGLES IN A TRIANGLE IS 180 AND SINCE WE KNOW ONE ANGLE IS 90° THE REST WOULD ADD UPTO 90°
THE SECOND ONE, JUST FOLLOW THE SEQUENCE OF THE MARKED LINES
for XYZ they went from the unlabeled line to the double marked line to the single marked line. similarly go for ZRQ
Answer:
just follow the rules
Step-by-step explanation:
Cramer's rule applies to the case where the coefficient determinant is nonzero. ... A simple example where all determinants vanish (equal zero) but the system is still incompatible is the 3×3 system x+y+z=1, x+y+z=2, x+y+z=3.
Write the system as a matrix equation. ...
Create the inverse of the coefficient matrix out of the matrix equation. ...
Multiply the inverse of the coefficient matrix in the front on both sides of the equation. ...
Cancel the matrix on the left and multiply the matrices on the right.
