Answer:
∠ XMN = 50°
Step-by-step explanation:
∠ XNM and ∠ XKL are alternate angles and are congruent, then
∠ XNM = 35°
The sum of the 3 angles in a triangle = 180° , so
∠ XMN = 180° - (95 + 35)° = 180° - 130° = 50°
Answer:
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:

A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years
how many years to double
basically
A=2P at t=?
so we can simplify and ignore the pricipal given and do

r=7%=0.07
n=2 (semiannualy means 2 times per year)
t=t



take the ln of both sides

divide both sides by ln1.035

times 2 both sides

use calculator
40.2976=t
nearest tenth
40.3
about 40.3 years
Answer:
Since there are 72 cards in a set, then Kareem needs to collect a total of 15×72=1080 cards. Since Kareem currently has 216 role-playing game cards, subtract 1080 by 216 to find how many more he needs:
1080−216=864
Step-by-step explanation:

1) This is a question for Annuity usage. Note that we'll need the following formula below:

Note that P is the value you'll need to deposit each month so that in 35 years you'll have $400,000 for your retirement.