Answer:
6,000
Step-by-step explanation:
The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.
An equation is an expression used to show the relationship between two or more numbers and variables.
From the diagram:
∠2 + ∠4 = 180° (sum of angles in a straight line)
∠4 + 65 = 180
∠4 = 115°
b) ∠2 = ∠3 (vertically opposite angles)
∠3 = 65°
c) ∠3 = ∠7 (corresponding angles)
∠7 = 65°
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A
This container can be imagined as a rectangular prism with the greater height
and then we can remove the volume of the triangular prism which was cut from it
There are 25 numbers between and including 1-25, so there are 25 possibilities. The possible outcomes are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
(2,3)
Because both equations involve the y-term -4y, elimination by addition/subtraction is a good choice as we solve this system of linear equations.
Multiply the 1st equation by -1, obtaining -x + 4y = 10; then add the 2nd equation to this result:
-x + 4y = 10
2x - 4y = -8
-------------------
x = 2
Next, find y. Substitute 2 for x in the first equation: 2 - 4y = -10. Subtract 2 from both sides, obtaining -4y = -12. Then y = 3.
The solution is (2,3).