Using the definition of vertical angles, the value of z is: 15.
<h3>Vertical Angles Pair</h3>
The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.
Thus:
2z + 10 = 40
2z = 40 - 10
2z = 30
z = 30/2
z = 15
Therefore, using the definition of vertical angles, the value of z is: 15.
Learn more about vertical angles on:
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Answer:
y=3
Step-by-step explanation:
y + 3 = -y + 9
y + y = 9 - 3
2*y = 6
y = 6/2
y = 3
Arrange them in ascending order
3,4,6,7,10
Median = the term in the middle = 6
∑ Hey, KLPJDP615 ⊃
Answer:
x = 6 or x = -10
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Solve for x.</em>
<em>1 + |2+x|= 9</em>
<em>O x = 4 or x = -8</em>
<em>O x = 7 or X = -11</em>
<em>O x = 5 or x = -9</em>
<em>x = 6 or X = -10 </em>
<u><em>Solve:</em></u>
<em>1 + |2+x|= 9</em>
<em>Subtract 1 from both sides:</em>
<em>1 + |2 +x| -1 = 9-1 </em>
<em>Simplify</em>
<em>|2 + x | = 8</em>
<em>Applying absolute value rule: If |u| = a, a > 0 then u = a or u = -a</em>
<em>2 + x = -8</em>
<em>2 + x = 8</em>
<u><em>Solving:</em></u>
<em>2 + x = -8</em>
<em>2 - 2 + x = -8 - 2</em>
<em>x = -10</em>
<u><em>Solving:</em></u>
<em>2 + x = 8</em>
<em>2 - 2 + x = 8 - 2</em>
<em>x = 6</em>
<em />
<em>Hence, x = 6 or x = -10</em>
<em />
<u><em>xcookiex12</em></u>
<em>8/26/2022</em>
