The coordinates of the vertices of △abc are a(−1, 1) , b(−2, 3) , and c(−5, 1) . the coordinates of the vertices of △a′b′c′ are a′(−1, −4) , b′(−2, −6) , and c′(−5, −4).
which statement correctly describes the relationship between △abc and △a′b′c′ ?
a. △abc is congruent to △a′b′c′ because you can map △abc to △a′b′c′ using a translation 3 units down followed by a reflection across the x-axis, which is a sequence of rigid motions. b. △abc is congruent to △a′b′c′ because you can map △abc to △a′b′c′ using a translation 5 units down followed by a reflection across the x-axis, which is a sequence of rigid motions. c. △abc is not congruent to △a′b′c′ because there is no sequence of rigid motions that maps △abc to △a′b′c′ .d. △abc is congruent to △a′b′c′ because you can map △abc to △a′b′c′ using a reflection across the x-axis followed by a translation 3 units down, which is a sequence of rigid motions.

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

add a picture or measurements so i cab