Answer:
polygons B and E are similar to polygon A.
Step-by-step explanation: for shapes to be similar, they need to have the same side-to-side ratio. For example, Lines QR, RS, and QP are 2 units long in polygon A, and line PS is 4 units long. In polygon E, the slanted side is also 2 units long, as well as the adjacent side and opposite side, and the bottom(long side) is also 4 units long. In Polygon B, the slanted side is 4 units long, but if you look at the opposite and upper adjacent sides, they are also 4 units long, and the longer side is 8. If you put the slanted side over the long side(2/4 for polygon A) for two different polygons and they are equal, the polygons are similar.
2/4=4/8
Answer: the answer is 1
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.
<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.
<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).
<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary
Statement Reason
1. ABCD is a parallelogram - Given
2. - Definition of parallelogram
3. is a diagonal of and - Definition of diagonal
4. and are the same side interior angles - Definition of same-side interior angles
5. is supplementary to - Same-Side Interior Angles Theorem
Answer:
26/47
Step-by-step explanation:
52xy: 94xy = 52xy/94xy
= 52/94
= 26/47
If you won 2 blue cards, then you lose 3 grey cards
If you won 4 blue cards, then you lost 6 grey cards (multiply by 2)
If you won 6 blue cards, then you lost 9 grey cards (multiply by 3)
If you won 8 blue cards, then you lost 12 grey cards (multiply by 4)
Answer: A) you lost 12 grey cards
Another way to see this answer is to solve the proportion below
2/3 = 8/x
2*x = 8*3
2x = 24
x = 24/2
x = 12