Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is
, you already have the
and another side which can be
or
.
Because you have the hypotenuse and a side , your equation looks like this now:
and when you solve for be you just subtract
to get 24.
0.19 for one cookie and 0.59 for one doughnut
x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23
solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59
Check the work: 6(0.19)+4(0.59)=3.5
985-35=950, 950÷2=475, 475+35=510, 510 and 475
Answer: Yes it is.
Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.
According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.
Answer:
360 people in 3 hours. 120 people per hour.
Step-by-step explanation:
How many times do 20 minutes go into 3 hours?
Well, 60 min. ÷ 20 min. = 3
So, 3 x 3 = 9
So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.
So 3 hours would be 9 x 40 = 360
120 people per hour because 40 x 3 = 120
and 20 minutes (3) times equals 1 hour.