Answer:
b. 7
Step-by-step explanation:
133÷y=19
=> 133 ÷ 19 = y
=> 7 = y
=><u> y = 7(Ans)</u>
Answer:
85°
Step-by-step explanation:
m∠4 measures 85 degrees.
m∠4 and m∠5 are alternate interior angles.
The alternate interior angles theorem states that <u>all pairs of alternate interior angles are congruen</u>t, or equal.
m∠4 ≅ m∠5
So, m∠5 should also be 85° as well as m∠4.
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Step-by-step explanation:
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Answer:
The conjugate of 2i + 9 = -2i + 9
Product of (2i+9) and (2i+9) is 36i + 77
Step-by-step explanation:
Given - 2i + 9
To find - Find the conjugate and product of the following surds
Proof -
We know that,
The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.
To find a complex conjugate, simply change the sign of the imaginary part (the part with the i ).
So,
The conjugate of 2i + 9 = -2i + 9
Now,
Product of surd (2i+9) is
(2i+9)(2i+9) = 2i(2i) + 2i(9) + 9(2i) + 9(9)
= 4i² + 18i + 18i + 81
= -4 + 36i + 81 { because i² = -1 }
= 77 + 36i
⇒Product of (2i+9) and (2i+9) is 36i + 77