Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:
To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3
That means x = 15
Step-by-step explanation:
x-(-11)
= x+11
= 14+11
= 25
Explanation
Angle x and angle 141 are congruent because they are corresponding angles, and because the lines are parallel. Corresponding angles are in the same corner. In this case it's the northwest corner.
Angles x and y are supplementary. They glue together to get a straight line. Which means the angles add to 180.
x+y = 180
141+y = 180
y = 180-141
y = 39
Answer:
Step-by-step explanation:
Here given that,
So will be,
Applying single division,
Simplifying further,
f(x)=x2+7x+12
Answer:
-4, -3
Step-by-step explanation:
So here we have a quadratic equation (meaning the highest exponent is 2).
To solve a question like this we either factor or use the quadratic formula.
Here we can factor.
To factor we must find two numbers that can be multiplied to make the last term, and summed to make the middle term. In this equation it means we are finding two numbers such that:
___ * ___ = 12
and
___ + ___ = 7
We start by thinking of the factors of 12.
Lets start by trying 6 and 2.
6 * 2 = 12
but
6 + 2 = 8
So 6 and 2 dont work because they do not sum to 7.
Now lets try 4 and 3
4 * 3 = 12
and
4 + 3 = 7
This pair of numbers works because they can be multiplied to make 12 and added to make 7.
So we can write
as
Knowing this we can can find the zeros of the function. Remember that a zero of a function is whatever can be plugged into x to make 0. Since we know zero times any number equals 0, this equation will be 0 when x + 4 equals 0 or x + 3 equals 0.
So we can solve for those two equations
x + 4 = 0
x = -4
x + 3 = 0
x = -3
So the two zeros of this equation are -4 and -3
Answer:
0.1 + 0.02+ 0.005
Answer: y = 2
Step-by-step explanation:
First, we combine like terms.
7y-4y = 6
Since the terms are already combined, we can solve this equation.
First, we do 7y-4y.
7y-4y = 6
3y = 6
Now, we solve for y.
3y = 6
y = 6/3
y = 2
To solve the equation 7y - 4y = 6 for y, we first simplify the left side to get 3y = 6. Then we divide both sides by 3 to get y = 2.
The given problem is a simple algebraic equation which we need to solve for y. The equation given is 7y - 4y = 6.
First, we simplify the left side of the equation by subtracting the coefficients of y: 7y - 4y equals 3y. So our equation is now 3y = 6.
To get y by itself on the left side of the equation, we need to divide both sides of the equation by 3. This gives us: y = 6/3 .
Therefore, the value of y that satisfies the equation is y = 2.
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