55 people showed up on a party.There were 3 less women than men.how many men were there?
2 answers:
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Answer:
x = 1.434 and x=0.232
Step-by-step explanation:
To find the root of the equation stated above we need to:
(1) Write the polynomial equation with zero on the right hand side:
⇒
(2) Divide the whole equation by 3
⇒
(3) Use the quadratic formula to solve the quadratic equation:
The quadratic formula states that the two solutions for a quadratic equation is given by:
(1)
In this case, a = 1, b =
Substituiting a, b and c in equation (1) We get:
(1)
The two solutions are:
x = 1.434 and x=0.232
Refer to the attached image.
Given: and measure of exterior angle at C =
.
We have to determine the measure of angle B and angle BCA.
By applying exterior angle property of the triangle which states:
"An exterior angle of a triangle is equal to the sum of the opposite interior angles".
So, exterior angle C =
Now, applying angle sum property in triangle ABC which states:
"The sum of all the angles of a triangle is 180 degrees".
Therefore, the measure of and
.
