Answer:
x = 76
Step-by-step explanation:
The angles are same side interior angles and same side interior angles are supplementary, which means they add to 180
x+104 = 180
Subtract 104 from each side
x+104-104 = 180-104
x =76
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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Nina would have ran 5 miles because if clara ran 10 and thats twice as far as nina 10 divided by 2 is 5
Y = 180 - 51 -56 = 73
x = 180 - 73 - 72 = 35
x = 35 degrees
Answer:
read below
Step-by-step explanation:
A1: I think D because you have a medium average mix of concentrate that will mix with only 2 more cups than itself, so this would keep it fine. A could also work sooooo.... A or D. i dont know at this point. B COULD be a possible solution but it's 5 vs 9.
A2: C
1 cup of concentrate vs 2 water.... the water will make it MUCH more of a clear color.
Question C: this is more time consuming and I am tired so for you this might be easier if you're not as tired so based on what I'm reading you need to do math for each of the 4 options above, concentrate and water mix, and then divide the total of the 2 types of cups for every option.
Hope Q1 and Q2 helped though!
