Step-by-step explanation:
The value of all the angles in a triangle add up to 180.
So to find x do 180-(66+52)
The angle opposite of x is the same value as x
X+E or X+Z are both equal to 180.
Answer:
x < -8
Step-by-step explanation:
-x - 10 > 14 + 2x
Subtract 2x from both sides;
-3x - 10 > 14
Add 10 to both sides;
-3x > 24
Divide both sides by -3
The sign switches when divide by a negative number.
x < -8
<span>We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
</span><span>JP + PK = JK.
</span><span>Substitute first each.
(8z - 17) + (5z + 37) = 17z - 4
Combine like terms.
13z + 20 = 17z - 4
Isolate the variable z.
4z = 24
z = 6
The value of the variable z is then 6 units.</span>
m^2 -11m -60 = 0
m^2 -11m =60
(m^2 -11m + 121/4) = 361/4
(m - 11/2)^2 = 361/4
m - 11/2 = + or - 19/2
m = 11/2 + 19/2, 11/2 - 19/2
m = 15, -4
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m^2 -11m -60
(11 +- Square root (121 +240))/2
11/2 +- 19/2
m= 15, -4
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m^2 -11m -60
(m - 15) (m + 4)
m = 15, -4