Answer:
Step-by-step explanation:
Given two congruent, isosceles triangles are joined, as shown, to form a parallelogram, the largest angle of the parallelogram is 116 degrees. Write two equations. Write them find the value of a and the value of b.
We know that the sum of all the internal angles is 360 degree. So the equation will be
4 a + 2b = 360
According to the question the largest internal angle of the parallelogram is 116 degree. So a + b = 116
Now we have the two equations as
4a + 2b = 360
a + b = 116
Multiply the second equation by 4 we get
4a + 2b = 360
4a + 4b = 464
Or – 2b = - 104
Or b = 52
Now a + b = 116
Or a + 52 = 116
Or a = 116 – 52
Or a = 64
Therefore the values of a and b are 64 and 52 degrees
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Answer:
The answer to your question is distance = 3500000 km
Step-by-step explanation:
Data
Scale 1 : 500000
7 cm
Process
1.- To solve this problem use direct proportions or rule of three.
1 : 500 000 :: 7 : x
2.- Multiply the middle numbers and the result divide it by the edge.
x = (7 x 500000) / 1
Simplification
x = 3500000 km
30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
Solution: you pay $90
Y = ax + b;
0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
8 gallons = 128 cups
20 guests x 2 cups= 40 cups of punch estimated
128 cups-40 cups = <span>88 cups left over.</span>
