Answer:
x=4
Step-by-step explanation:
5x + 33 = 18x-30 + 11
Add the numbers
5x + 33 = 18x-19
Subtract 33 from both sides of the equation
5x + 33-33 = 18x-19-33
5x=18x-52
Subtract 18x from both sides of the equation
5x-18x = 18x-52-18x
-13x = -52
-13x/-13 = -52/-13
x=4
In the triangle , Angle A is 51.1 degrees, B is 54.5 degrees , C is 74.4 degrees.
<h3>What is a Triangle ?</h3>
A triangle is defined as a polygon with three sides , three angles and three vertices.
Using the Law of Cosine to solve the Triangle and to determine the value of all the angles
c² = a²+ b² -2abCosC
a = 42 , b=44 , c = 52
52² = 42² + 44² -2 * 42 * 44 cos C
2704 = 1764 + 1936 -3696 cos C
cos C = 0.269
C =74.4 ° (degrees)
Similarly calculating for A and B will give
Angle A is 51.1 degrees
Angle B is 54.5 degrees
To know more about Triangle
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Answer:
x = 5 ± 
Step-by-step explanation:
Given
x² - 10x + 25 = 35 ( subtract 25 from both sides )
x² - 10x = 10
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = 10 + 25
(x - 5)² = 35 ( take the square root of both sides )
x - 5 = ±
( add 5 to both sides )
x = 5 ± 
That is the second option on list
Answer:
The two equations that can be used to find each of their ages are
and
.
Step-by-step explanation:
We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.
Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.
Now, according to the question;
- The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;
----------------- [equation 1]
- The <u>second condition</u> states that the sum of their ages is 60 years, that means;
{using equation 1}

y = 12 years
Now, putting the value of y in equation 1 we get;
= 48 years
Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.