Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
The answer is <span>4<span>x^4</span></span>−<span>y^<span>2</span></span>
We have two equations d=55t and d=20g
The left sides of this equations are the same than the right sides are equal too
a) 55t=20g
b) g=(55/20)t
c) t=6h => g=(55/20) *6 = 165/10=16.5 gallons
d= 55t= 55*6=330 miles or d=20g=20*16.5=330 miles
Good luck!!!
Answer:
Rate of jogging is 4.6 miles per hour.
Step-by-step explanation:
Rachel jogs 20 feet in 3 seconds and we have to find the rate of jogging in miles per hour.
Since 1 feet = 0.000189394 miles
Therefore, 20 feet = 0.0037879 miles
Similarly, 1 second =
hour
Therefor, 3 seconds = 
=
hours
Formula to calculate the rate = 
=
= 1200 × 0.0037879
= 4.545
≈ 4.6 miles per hour
Therefore, rate of jogging is 4.6 miles per hour.
<span>Simplify
0.6n = 84
Solve
By:
Move all terms containing n to the left, all other terms to the right.
Divide each side by '0.6'.
n = 140
</span><span>
So,
</span><span>84 is 60% of 140</span>