Intersect
Meet/Touch/Cross
Perpendicular or Transversals
Meet/Touch/Cross
Correct me if I'm wrong.
Answer:
The three numbers are 56/5, -39/5 and 78/5.
Step-by-step explanation:
EQUATION 1:
First number: x
Second number: y
Third number: z
x + y + z = 19
EQUATION 2:
Sum of following is 77
Twice the first number: 2x
5 times the second number: 5y
6 times the third number: 6z
So, 2x + 5y + 6z = 77
EQUATION 3:
Difference between first and second number is 19.
x - y = 19
Equation 1: x + y + z = 19
Equation 2: 2x + 5y + 6z = 77
Equation 3: x - y = 19
1. Find x in terms of y
x - y = 19
x = 19 + y
2. Find y in terms of z by putting the value of x in first and second equation
x + y + z = 19
(19 + y)+ y + z = 19
2y + z = 19 - 19
2y + z = 0
y = -z/2
and
2(19+y)+5y+6z=77
now putting the value of y in this equation
2(19-z/2)+5(-z/2)+6z=77
38 - z -5z/2 +6z = 77
5z/2 + 38 = 77
5z/2 = 39
z = 78/5
Now, y = -z/2
y = (-78/5)/2
y = -39/5
and x = 19 + y
x = 19 - 39/5
x = 56/5
Therefore, the three numbers are 56/5, -39/5 and 78/5.
Keyword: Sum
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Answer:
18 melon
Step-by-step explanation:
Given :
Original stack :
Melon = 45
Grape fruits = 60
Mini version :
Grapefruit = 24
Using grapefruit ; we can obtain the scale factor;
60 : 24 = 2.5 : 1
Hence,
Amount of melon in the mini version is :
45 / 2.5
= 18
A right angle = 90 degree
BOC = 3/5 of the right angle
= 3/5 x 90
= 54 degree
Answer:
120 degrees.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees and triangle BWA is an isosceles triangle, meaning that AW and BW are congruent, or equal in length to each other.
This also means that angle WBA and WAB are congruent to each other. Angle WAB is 30 degrees, so angle WBA is also 30 degrees.
Knowing that angles in a triangle add up to 180 degrees we have 30+30+BWA=180.
60+BWA=180.
BWA=120 degrees.
Hope this helps!
