Answer:
angle c = <u>83</u> degrees
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral add up to 180 degrees.
According to the rule, <D and <B add up to 180° and same for <A and C.
This means that the sum of (x + 100) and (3x) equal 180.
Therefore (x + 100) + (3x) = 180 →
4x + 100 = 180
–100 –100
4x = 80
÷4 ÷4
x = 20.
Since x = 20, <A = 5x – 3 = 5(20) – 3 = 97.
Since <A + <C = 180.
97 + <C = 180 → 97 + <C = 180
–97 –97
<C = 180 – 97 = 83°
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

Hence the option C is the correct option.
<h3>
Given information-</h3>
The given polynomial equation in the problem is,

<h3>
Polynomial equation </h3>
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are<em> x </em>and the highest power of the variable <em>x</em> is four.
Arrange the given polynomial equation in the power of the variable <em>x. </em>Thus,

Make the group of the same power of the variable <em>x. </em>Therefore,



From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

Hence the option C is the correct option.
Learn more about the polynomial equation here;
brainly.com/question/25958000
9514 1404 393
Answer:
- S''(5, -3)
- T''(1, 0)
- U''(4, 1)
- V''(4, 0)
Step-by-step explanation:
The end result after the final transformation is ...
(x, y) ⇒ (-x, y)
so, each x-coordinate is negated. The transformed coordinates are ...
S(-5, -3) ⇒ S''(5, -3)
T(-1, 0) ⇒ T''(1, 0)
U(-4, 1) ⇒ U''(4, 1)
V(-4, 0) ⇒ V''(4, 0)
Answer:

Step-by-step explanation:
When solving for x, we want to get x all by itself on one side of the equals side. It doesn't matter which side.
In this case, we have <em>x</em><em> </em><em>+</em><em> </em><em>h</em><em>.</em><em> </em>Since we want x alone we have to get rid of the h. We can do this by subtracting h from both sides (whatever you do to one side, you have to do to the other side).

Therefore, x = r - h.
0.11 is the least amount.