All categories

3 years ago

If mZ1 = (4x + 2)° and m/3 = (5x – 15)", what is the value of a?

Mathematics

1 answer:

posledela3 years ago

8 0

Answer:

Step-by-step explanation:

angle one and angle three are equal to each other

so if you set the equations equal to each other

(4x+2)=( 5x-15)

move the 4x the right by subtracting it giving you 1x

then add 15 to 2 giving you 17

17=1x

You might be interested in

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

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

We are given

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

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

4 years ago

One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12

xxTIMURxx [149]

9514 1404 393

Answer:

(b) 5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

2 +3×8 ≠ 14

2 +3×5 = 17 . . . . this choice works (5, 17)

2 +3×2 ≠ 20

2 +3×4 ≠ 18

2 +3×10 ≠ 12

Or, you can solve the equation:

x + (2 +3x) = 22

4x = 20 . . . . . . . . subtract 2

x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0

3 years ago

4/7+3/7 1/5.3/2-4/10

Westkost [7]

Answer:

3/10

Step-by-step explanation:

=4/7 + 9/70 - 4/10

=l.C.M of 7 , 70 and 10 =70

=4/7 .10/10 +9/70 -4/10 .7/7

=40/70 +9/70 -28/70

=40+9-28/70

=49-28/70

=21/70

=3/10

7 0

2 years ago

The state of Maryland charges a 6% sales tax on most merchandise sold. you purchase a new shirt for 25% how much do you pay?

Yuri [45]

If your question is 25 dollars for the shirt then the ansewer is $26.5 hope this helps.

3 0

3 years ago

Who is really good with math? I need serious help i am failing math

Oduvanchick [21]

Answer: I am really good at math so if you need help just say so

3 0

3 years ago