Answer:
B) y=2x+3
Step-by-step explanation:
Answer:
m∠B = 157°
Step-by-step explanation:
Cyclic quadrilateral is the quadrilateral whose vertices lie on the edge of the circle
In the cyclic quadrilateral each two opposite angles are supplementary (the sum of their measures is 180°)
∵ Quadrilateral ABCD is inscribed in a circle
- That means its four vertices lie on the edge of the circle
∴ ABCD is a cyclic quadrilateral
<em>Each two opposite angles in the cyclic quadrilateral are supplementary (The sum of their measures is 180°)</em>
∵ ∠B and ∠D are opposite angles in the quadrilateral ABCD
∴ m∠B + m∠D = 180° ⇒ opposite ∠s in a cyclic quadrilateral
∵ m∠B = (6x + 19)°
∵ m∠D = x°
- Substitute them in the rule above
∴ (6x + 19) + x = 180
- Add the like terms in the left hand side
∴ (6x + x) + 19 = 180
∴ 7x + 19 = 180
- Subtract 19 from both sides
∴ 7x = 161
- Divide both sides by 7
∴ x = 23
<em>Substitute the value of x in the expression of the measure of ∠B to find its measure</em>
∵ m∠B = 6(23) + 19
∴ m∠B = 138 + 19
∴ m∠B = 157°
Answer:
The answer is B.
Step-by-step explanation:
When Elimination method is applied, you have to eliminate one of the variables from both equations. Firstly, both equations contain 4y so you can subtract it :
Next, you have to substitute x = 5 to any equations. I will choose to put in (2) :
Therefore, put your answer in coordinate form :
Answer:
x = 2
Step-by-step explanation:
A parallelogram is a figure with four sides in total, and two parallel opposite sides.
This means that the opposite sides are equal in length.
For the parallelogram ABCD in this problem, we are told that the length of two opposite sides are:
and
The two sides must be equal in order for ABCD to be a parallelogram, so we can write:
And now we solve for x: first, we add +5 on both sides,
Then we subtract 15x on both sides:
Finally, we divide both sides by 5: