Hi there.
A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.
(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.
Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.
x = 40 is another measurement on its own.
Our measurements are:
56, 84, and 40.
Your corresponding answer choice is H.) 56, 84, 40.
I hope this helps!
Answer:
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Step-by-step explanation:
Given that:
Cost of each lunch = $2.50
Cost of monthly lunch pass = $40.00
Number of lunches = x
For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore
Cost of lunch * Number of lunches > Cost of monthly lunch pass
2.50x > 40.00
Hence,
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Lan is 146 centimeters tall now.
<u><em>Explanation</em></u>
Let, Lan's current height is 
centimeters
As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = 
centimeters and Jim's current height = 
centimeters.
Every month, their heights increase by 2 centimeters.
So, after 5 months.....
Lan's height = 
centimeters,
Lisa's height = 
centimeters and
Jim's height = 
centimeters
Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....
So, the current height of Lan is 146 centimeters.
Answer:
Step-by-step explanation:
The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.
The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.
Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.
-7 ± √37
x = --------------- => x = (-7 + √37)/2 and x = (-7 - √37)/2
2
In words: This quadratic equation has two real, unequal solutions involving the radicand 37.
X = {-3, 7} hope this helps
