The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.
Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.
The answer is: ∠1 and ∠3 are congruent (See the image attached).
X - the number
3x - 7 = -4 |add 7 to both sides
3x = 3 |divide both sides by 3
x = 1
Answer: Multiplying the number by 2.5
Step-by-step explanation:
Jay took a number, n, and increased it by 25%. The value gotten will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
After that, Then, he doubled the resulting product. The value now gotten will be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be multiplying the number by 2.5. This will be:
= n × 2.5
= 2.5n
Therefore, it's thesame with the value gotten.
The correct option is D.
Answer:
1( 8y + 5y )
Step-by-step explanation:
The gcf of 8 and 5 is 1
I'll assume the question is: what's the volume?
It's two L×W×H rectangular prisms (aka boxes) put together
The bottom one is 2×3×4
The top one is 5×4×1
Volume = 2×3×4 + 5×4×1 = 24 + 20 = 44
Answer: 44 cubic feet