Answer:
= 78
= 3.5
Step-by-step explanation:
First we need to find .
We can use the equation 
to solve for .
We can then change that equation to 
, since the Commutative Property of Addition says that you can have any addition in any order.
Now, we can solve the equation.
Now that we solved , we can now solve for .
Since 25 equals 
, we can solve the equation 
.
Here is how you solve it:
Since 
equals 3.5, which is the simplest form, that is the answer.
Hope this helps, and please mark me brainliest! :)
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
Answer:
<h3>2</h3>
Step-by-step explanation:
Given the expression -3-(-5)
This is also expressed as;
-3(-5)
= -3 + 5 (The product of two negative sign gives a positive sign)
= 5 - 3
= 2
Hence the result of the expression is 2
Answer:
Option 4 is the right answer.
Step-by-step explanation:
As we know in the given circle area of minor segment having an angle ∅ and radius of the circle r is shown by
Area of the minor segment / Area of the circle = ∅ / 360° (∅ is in degrees)
Area of the minor segment / πr² = ∅ / 360°
Area of the minor segment = (∅ / 360°) × πr²
Therefore Option 4 is the right answer.
we are given
We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6
now, we will check each terms
At x=-2:
We can use synthetic division
we get
so, x+2 will be factor
and we can write our expression from synthetic division as
now, we can find factor of remaining terms
we can use quadratic formula
we can compare our equation with quadratic equation
we get
now, we can plug these values
so, we get
so, we can write factor as
so, we get completely factored form as
...............Answer
