Answer:
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the opposite angles of it add up to 180 degrees.
Here,
∠DCB + ∠DAB = 180 (Opposite angles of a quad inscribed in a circle.)
<u>Given that:</u> ∠DCB = 135° and ∠DAB = x
135 + x = 180
Subtract 135 to both sides
x = 180 - 135
x = 55°
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
13=x
Step-by-step explanation:
Side-spliting theorem
21/(x-4)=14/6
cross multiply
21*6=14*(x-4)
distribute 14
126=14x-56
add 56 to both sides
126+56=14x-56+56
leaving you with
182=14x
Divide both sides by 14 to get x by itself
182/14=14x/14
13=x
Answer:
x = 40
Step-by-step explanation:
The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:
Cross multiply
Subtract 24x from each side
Divide both sides by -15
x = 40
Answer:
y-y1=m(x-x1)
Step-by-step explanation:
Answer:
5x^2 + 20x = 5x(x + 4)
Step-by-step explanation:
Here, we want to factorize;
5x^2 + 20x
To do this, we start by writing the common factors
The common actor that we can see which is in the form of the gcf of both is 5x
Thus, the factorization will be;
5x^2 + 20x = 5x( x + 4)
