Answer:
95 city and 175 highway miles.
Step-by-step explanation:
The driver gets 20 mpg in city, and 28 mpg on the highway.
An equation that could be written is
20x+28y=270
This equation accounts for the distance traveled.
x+y=11
This equotion accounts for how many gallons were driven.
Multiply the bottom equation by 20, so you can solve the set of equations.
20x+28y=270
20x+20y=220
subtract them
8y=50
y=6.25
now plug this back into x+y=11
x+6.25=11
x=4.75
Now 4.75×20=95 city miles and 6.25×28=175 highway miles.
Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
<span>Proving the converse of the Pythagorean theorem means that for any triangle ABC with verticles of a, b, and c such that angle triangle ABC is not a right angle</span>
In a right triangle the biggest angle is 90°.
Then the two smaller angles sum up 180° - 90° = 90 °.
Now you can use this equation: 3x + 6 + 2x - 1 = 90 and solve for x:
5 x + 5 = 90
5x = 85
x = 85/5
x = 17
Then, the smallest angle is 2(17) - 1 = 33°
111 base 2 = 1101111
find 112 base 2
