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Elan Coil [88]
3 years ago
8

Which theorem would be used to write 4x+4=92 in the diagram below?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer: C) Alternate interior angles

The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.

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Find the quotient of 5+4i/6+8i , and express it in the simplest form
Sergio [31]
Remember: i² = -1

\frac{5+4i}{6+8i}=  \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}=  \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i

Hope this helps
7 0
3 years ago
the length of a rectangle is 50 feet less than its width. If the perimeter of the field is 840 feet, find the length of the fiel
LiRa [457]
look\ at\ the\ picture\\\\2a+2(a-50)=840\\\\2a+2a-100=840\\\\4a-100=840\ \ \ /+100\\\\4a=940\ \ \ \ /:4\\\\a=235\ (ft)\\\\a-50=235-50=185\ (ft)\\\\Answer:lenght=185\ ft;\ width=235\ ft.

8 0
3 years ago
The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?
stepan [7]

Answer:

56

Step-by-step explanation:

1176 divided by 21 = 56

3 0
3 years ago
Solve for x.
denis-greek [22]

Answer:

\frac{3\±\sqrt{3}}{3}

Step-by-step explanation:

Whe have the function 3x^2-6x+2=0

To solve this equation we must factor.

To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula

\frac{-b\±\sqrt{b^2-4ac}}{2a}

Where:

a = 3

b = -6

c = 2

Then

\frac{-(-6) + \sqrt{(-6)^2-4(3)(2)}}{2(3)} = \frac{3+\sqrt{3}}{3}\\\\and\\\\\frac{-(-6) - \sqrt{(-6)^2-4(3)(2)}}{2(3)}= \frac{3-\sqrt{3}}{3}

finally the correct answer is  \frac{3\±\sqrt{3}}{3}

5 0
3 years ago
Read 2 more answers
What is 35 x 345? Solve and I will give you money
Otrada [13]

Answer:

12075

Step-by-step explanation:

35 x 345 = 12075

8 0
2 years ago
Read 2 more answers
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