The answer for this problem is that x = 60°, or B.
We can solve this problem by using our knowledge of quadrilaterals. In this problem, we need to know that the number of degrees in a quadrilateral is equal to 360, but, the formula to find the number of degrees in a polygon with n sides is (n-2) * 180.
Now that we know that the sum of the angles if 360°, we can add all the angles and solve for x. The angles with the squares are 90°.
2x° + x° + 90° + 90° = 360°
Get x by itself, combine like terms.
3x° + 180° - 180° = 360° - 180°
3x° = 180°
x = 60°, or B.
Answer:
3(4)+6
12+6
18
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve each inequality one at a time:
5x ≤ 21 + 2x and
3x ≤ 21 so
x ≤ 7
The other inequality is
3x + 3 ≥ 24 and
3x ≥ 21 so
x ≥ 7
If x is less than or equal to 7 AND greater than or equal to 7, then the solution is all real numbers.
<h3><u>The correct answer is: B.</u></h3>
We could use a graphing calculator to solve this easily, but let's just solve it by looking at the equation.
We'll need to turn this standard form equation into a slope-intercept form equation to be able to easily solve it.
Isolate y.
2x - 3y = 7
<em><u>Add 3y to both sides.</u></em>
2x = 3y + 7
<em><u>Subtract 7 from both sides.</u></em>
3y = 2x - 7
<em><u>Divide both sides by 3.</u></em>
y = 2/3x -7/3
Now, we can plug each x value in the answer choices into x to find the corresponding y value.
y = 2/3(7) - 7/3 = 2.34
As this y value does not match, A is not the answer.
y = 2/3(-4) - 7/3 = -5
This y value does match, so B is the correct answer.
y = 2/3(-9) - 7/3 = -8.34
This y value doesn't match either, so C is not the answer.
y = 2/3(9) - 7/3 = 3.67
This y value doesn't match either, so D is not the answer.
