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Mathematics

1 answer:

IrinaK [193]3 years ago

6 0

Answer:

$\frac{4}{9}$

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I will give BRAINLIEST to the correct answer Find the measure of angle 1

m_a_m_a [10]

Answer:

angle 1=94 degree

Step-by-step explanation:

-x + 106=5x + 34 (they are alternate interior angles)

106-34=5x+x

72=6x

72/6=x

12=x

substitute the value of x in 5x + 34

5*12 + 34

60+34

Now,

angle 1 =5x +134 ( they are vertically opposite angles)

angle 1=94 degree

7 0

3 years ago

Read 2 more answers

Can someone pls help me ASAP

DanielleElmas [232]

Answer:

Step-by-step explanation:

They are supplementary angles. The sum of their measurements add up to 180 degrees

4 0

3 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then a= A. 1/10 B. -10 C. 1/50 D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$