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4 years ago

10

M 2 = a°, m 3 = b°, m 4 = a b a + b a - b (see picture)

1 answer:

Ket [755]4 years ago

6 0

The answer is a+b. Since a triangle is equal to 180 degrees, and you know that angle 2 = a degrees and angle 3 = b degrees then you know that 180 degrees minus angle 2 and angle 3 = angle 1.

It is also known that angle 1 and angle 4 added together will be 180 degrees. Since before we already found out that angle 1 = 180 - angle2 + angle3, we know that angle4 = angle2+angle3

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Find the value of <img src="https://tex.z-dn.net/?f=%246%2B%5Cfrac%7B1%7D%7B2%2B%5Cfrac%7B1%7D%7B6%2B%5Cfrac%7B1%7D%7B2%2B%5Cfra

Paul [167]

Let

$x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}$

Then

$x = 6 + \dfrac1{2 + \dfrac1x}$

and solving for x gives

$x = 6 + \dfrac x{2x + 1}$

$x = \dfrac{13x + 6}{2x + 1}$

$x(2x+1) = 13x + 6$

$2x^2 + x = 13x + 6$

$2x^2 - 12x - 6 = 0$

$x^2 - 6x - 3 = 0$

By the quadratic formula,

$x = 3 \pm 2\sqrt{3}$

but x must be a positive number, so only the positive square root solution is valid.

$x = 3 + 2\sqrt{3}$

We identify a = c = 3 and b = 2, so a + b + c = 8.

3 0

3 years ago

Given A = {1, 3, 4, 6} and B = {2, 3, 5, 6}, what is AB?

Oduvanchick [21]

AB would be {3,6}
Hope that this helps

3 0

3 years ago

Help please! Use the fact that (a+b)^2 = a^2 + 2ab + b^2 to find the value of 81^2. [Hint: (80 + 1)^2]

snow_lady [41]

Answer is below..................

4 0

3 years ago

72 inches but converted to yards

Maksim231197 [3]

Answer:

2 yards

Step-by-step explanation:

12 inches=1 ft

72 inches=1/12×72=6 ft

3 ft=1 yard

6 ft=1/3×6=2 yards

4 0

4 years ago

Read 2 more answers

Describe how you labeled the bar model and wrote a number sentence to solve.

alukav5142 [94]

By answering the question and reading the question

3 0

3 years ago