If angle 1 is complementary to angle 2, then m∠1 + m∠2 = 90.
This statement is the Definition of Complementary Angles. The sum of complementary angles is 90 degrees.
Complementary angles always come in pairs while right angle is just one.
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<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>
x = -4 or x = 2 ✅
<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0
The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :
- If b² - 4ac > 0 , There are 2 real-number solutions
- If b² - 4ac = 0 , There is 1 real-number solution.
- If b² - 4ac < 0 , There is no real-number solution.
The <em><u>roots</u></em> of the equation are determined by the following calculation:

Here, we have :
1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>
b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36
b² - 4ac = 36 > 0 ; The equation admits two real-number solutions
2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>
▪️ (1)

▪️ (2)

>> Therefore, your answers are x = -4 or x = 2.
Learn more about <u>quadratic equations</u>:
brainly.com/question/27638369
Answer:
48
Step-by-step explanation:
Given,
x = - 1
y = 2
To find : The value of 3x - 4 ⋅ xy² ?
Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².
3x - 4 ⋅ xy²
= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²
= - 3 - 4 ⋅ - 1 ( 4 )
= - 12 ⋅ - 4
= 48
Note : -
When a negative number gets multiplied with a negative, the resulted number is a positive number.
(12 x 16) = 192 + 8 = 200
Therefore the answer is 200 which when divided by 12 gives a quotient of 16 and a remainder of 8.