<span>Angles on one side of a straight line always add to 180°.
Look at the picture.
a = 180° - 134° = 46°
b = 180° - 130° = 50°
</span><span>In a triangle, the three interior angles always add to 180°.
a + b + c = 180°
c = 180° - (46° + 50°) = 180° - 96° = 84°
x° = 180° - 84° = 96°</span>
<span>We can see that:
x = a + b</span>
<span>10 times as many as
100
this simply mean 10<span>100
</span>=> 10 will be multiplies a 100 times and the result will be 1e100
=> also explained as 1 and 100 zeros to get the answer</span>
The diary farmer should use 1000 pounds of 85 % protien and 55 % of 200 pounds to make 1200 pounds of a high-grade 80% protein ration
<em><u>Solution:</u></em>
Let the amount of 85 % protien supplement be "x"
Then amount of 55 % protien be (1200 - x)
According to given question,
85 % of "x" protien supplement + 55 % of 1200 - x protien used to get 80 % of 1200 pounds
85 % of x + 55 % of (1200 - x) = 80 % of 1200
Pounds of 85 % protien used = 1000 pounds
Then pounds of 55 % protien used = 1200 - 1000 = 200 pounds
Thus he should use 1000 pounds of 85 % protien and 200 pounds of 55 % protien to get 1200 pounds of a high-grade 80% protein ration
The key feature of the functions that are needed to determine if the lines intersect are;
- The slope; rate of change
- The y-intercept
<h2>
Slope and y-intercept</h2>
From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.
On this note, for the functions described in the question, the functions only intersect when the slopes are different.
Additionally, the functions may intersect in the event of having equal y-intercepts.
In order two straight lines in a coordinate plane intersect, they MUST have different slopes.
This condition is NECESSARY and SUFFICIENT.
