Answer:
see explanation
Step-by-step explanation:
Given
x² + 10x + 14 = - 7 ( subtract 14 from both sides )
x² + 10x = - 21
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = - 21 + 25
(x + 5)² = 4 ( take the square root of both sides )
x + 5 = ± 2 ( subtract 5 from both sides )
x = - 5 ± 2
x = - 5 - 2 = - 7, or x = - 5 + 2 = - 3
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The equation can also be solved by factoring
x² + 10x + 14 = - 7 ( add 7 to both sides )
x² + 10x + 21 = 0 ← in standard form
(x + 7)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 3 = 0 ⇒ x = - 3
Answer:
The angle is 120 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
So if our angle is x it's supplement is 180 - x.
So we have the equation:
x = 2(180 - x)
x = 360 - 2x
3x = 360
x = 120 (answer).
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- - given;
- - given;
- - as vertical angles when lines AD and BE intersect.
Thus, by AAS postulate, triangles ABC and DEC are congruent. Congruent triangles have congeruent corresponding sides.
So,
The Angle Angle Side postulate (AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
Yes you can classify by sides but I’m not sure about angles
Rounding is when you have at least a two digit number (26 for example) and if the number the right (6) is 5 or above then the number goes up one unit, (therefore 26 becomes 27). But if the number (22) to the right is 4 or lower, then the number to the right stays the same, but the number to the right becomes a zero, (making 22 now 20).