Answer:
Step-by-step explanation:
Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.
If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)
Finally, four less than the quotient of ten and a number, increased by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4
<em>The resulting equation of the statement is (10/y +8)-4</em>
To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;
f(y) = (10/y +8)-4
f(2) = (10/2 +8)-4
f(2) = (5+8)-4
f(2) = 13-4
f(2) = 9
<em>Hence the value of the expression when y = 2 is 9</em>
The argument is valid by the law of detachment.
Answer:
Step-by-step explanation:
Simplify the expression
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
Combine the results:
I'm gonna send you a picture because it'll explain the answer better
The measure of the three angles are 56, 28 , 192 degree
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three vertices an three angles.
It is given to make system of equations
Let the measure of the first , second and third angle be x, y and z
the sum of the measures of the first two angles is 12 less than the measure of the third angle.
x +y = z -12 ----1
the measure of the first angle is twice as big as the measure of the second angle.
x = 2y
Now equation 1 will be
z - 3y = 12
x +y+z = 180
2y +y +z = 180
3y +z = 180 ----2
z - 3y = 12------3
On solving the system of equation 1, 2
2z = 192
z= 96 degree
3y = 180-96
y = 28
x = 56
Therefore the measure of the three angles area 56, 28 , 192 degree.
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