No 5.) x <= -7
No. 7.) x < 2
Because the arrow is pointing to the left, the less than (< or <=) sign is used. Also when the circle is shaded less than or equal to (<=) is used and when the circle is unshaded less than is used (<)
Answer:
Y= -12
Step-by-step explanation:
Given:
ABCD is a quadrilateral inscribed in a circle.
m∠A = (2x + 38)°, m∠B = 3x° and m∠D = (x + 20)°
To find:
Measure of angle C
Solution:
<em>In cylic quadrilateral, sum of the measures of opposite angles are 180°.</em>
m∠B + m∠D = 180°
3x° + x° + 20° = 180°
4x° + 20° = 180°
Subtract 20° from both sides.
4x° + 20° - 20° = 180° - 20°
4x° = 160°
Divide by 4 on both sides, we get
x° = 40°
<em>In cylic quadrilateral, sum of the measures of opposite angles are 180°.</em>
m∠A + m∠C = 180°
2x° + 38° + m∠C = 180°
2(40)° + 38° + m∠C = 180°
80° + 38° + m∠C = 180°
118° + m∠C = 180°
Subtract 118° from both sides, we get
m∠C = 62°
The measure of angle C is 62°.
The answer is C, because they are vertical from each other and they are congruent
Hope this help! :)
~Zain
![y = 2x \\ y = 7x + 15](https://tex.z-dn.net/?f=y%20%3D%202x%20%5C%5C%20y%20%3D%207x%20%2B%2015)
Substitute the given value of y into the equation y=7x+15
![2x = 7x + 15](https://tex.z-dn.net/?f=2x%20%3D%207x%20%2B%2015)
Move the variable to the left-hand side and change its sign
![2x - 7x = 15](https://tex.z-dn.net/?f=2x%20-%207x%20%3D%2015)
Collect like terms
![- 5x = 15](https://tex.z-dn.net/?f=%20-%205x%20%3D%2015)
Divide both sides of the equation by -5
![x = - 3](https://tex.z-dn.net/?f=x%20%3D%20%20-%203)
Substitute the given value of x into the equation y=2x
![y = 2 \times ( - 3)](https://tex.z-dn.net/?f=y%20%3D%202%20%5Ctimes%20%28%20-%203%29)
Solve the equation for y
![y = - 6](https://tex.z-dn.net/?f=y%20%3D%20%20-%206)
The possible solution of the system is the ordered pair (x,y)
![(x,y) = ( - 3, - 6)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28%20-%203%2C%20-%206%29)