Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
<span>1) If you invest $2,000.00 at a rate of 4% APR for 3 months and the interest is compounded monthly then in 3 months.It will be worth $2,020.07.
So subtracting $2,000 from $ 2,020.07
we get.
<span>$20.07
2) </span></span><span>I = Prt </span>
<span>I = 4,000 * 0.05 </span>
<span>I = $200
</span><span>200 / 10 = 20 hours of work</span>
Answer:
20 adults and 10 children
Step-by-step explanation:
We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.
Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.
the triangles are similar by AA.
Answer:
Step-by-step explanation:
Mark Brainliest :) pleasee
