for number 1 its mixed numbers...and number 2 is The denominator
Answer:
The measures of the three interior angles of the triangle are {40,55,85}.
Step-by-step explanation:
Let a = the measure of the first angle of the triangle.
Let b = the measure of the second angle of the triangle.
Let c = the measure of the third angle of the triangle.
The problem statement tells us that
(1) a = a
(2) b = a + 15 and
(3) c = a + 45
Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get
(4) a + b + c = 180 or by substitution we get
(5) a + (a + 15) + (a + 45) = 180 or
(6) a + a + 15 + a + 45 = 180 or
(7) 3*a + 60 = 180 or
(8) 3*a = 180 - 60 or
(9) 3*a = 120
Now divide both sides of (9) by 3 to get
(10) 3*a/3 = 120/3 or
(11) a = 40
Using (2) and (3) we get
(12) b = 40 + 15 or
(13) b = 55 and
(14) c = 40 + 45 or
(15) c = 55
Always check the answer. Use (4)
Is (40 + 55 + 85 = 180)?
Is (95 + 85 = 180)?
Is (180 = 180)? Yes
Answer:
154cm squared
Step-by-step explanation:
Answer:
L: y= -4x + 17
Step-by-step explanation:
For a line L to pass through two points, we use the slope formula to calculate the slope, m, where
m = (y2-y1) / (x2-x1)
= (9-1) / (2-4)
= 8 / -2
= -4
Next we use the point slope form to find the line equation:
L: (y-y1) = m (x-x1)
substitute (x1,y1) = (4,1)
L: y-1 = -4 (x-4)
Simplify:
L: y = -4x + 16 + 1
L: y= -4x + 17
Check: substitute (4,1)
y = -4(4)+17 = 1 checks
substitute (2,9)
y = -4(2)+17 = 9 checks
so
L: y= -4x + 17
i wish i knew but you got this
