You can observe that angle 1 and angle with 47° are inside a parallelogram.
Consider that the sum of the internal angles of a parallelogram is 360°.
Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.
Consider that angle down right side is congruent with angle 1, then, they have the same measure.
You can write the previous situation in the following equation:
47 + 47 + ∠1 + ∠1 = 360 simplify like terms
94 + 2∠1 = 360 subtract both sides by 94
2∠1 = 360 - 94
2∠1 = 266 divide by 2 both sides
∠1 = 266/2
∠1 = 133
Hence, the measure of angle 1 is m∠1 = 133°
3k-2=2k+4
-2k. -2k
k-2=4
+2. +2
k =6
Answer:
1-3x+8y
Step-by-step explanation:
Multiply y and 2
Multiply y and 1
The y just gets copied along.
2*y evaluates to 2y
Multiply x and 4
Multiply x and 1
The x just gets copied along.
The answer is x
4*x evaluates to 4x
2*y-4*x evaluates to 2y-4x
The answer is 2y-4x+8
2*y-4*x+8 evaluates to 2y-4x+8
Multiply y and 6
Multiply y and 1
The y just gets copied along.
The answer is y
6*y evaluates to 6y
2y + 6y = 8y
The answer is 8y-4x+8
2*y-4*x+8+6*y evaluates to 8y-4x+8
-4x + x = -3x
The answer is -3x+8y+8
2*y-4*x+8+6*y+x evaluates to -3x+8y+8
8 - 7 = 1
The answer is 1-3x+8y
2*y-4*x+8+6*y+x-7 evaluates to 1-3x+8y
Answer:
Option (3). EF
Step-by-step explanation:
From the figure attached,
Plane defined by EAB can be represented by the face EABF of the square prism also.
Similarly, plane EFG can be represented by the face EFGH of the prism.
Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.
Therefore, intersection of the given planes is EF.
Option (3) will be the answer.
