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3 years ago

Write the expression (3 - 4i) + (5 + 9i) in the standard form a + bi.

Mathematics

1 answer:

babymother [125]3 years ago

6 0

8 + 5i. I just added the expression normally.

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Find the measure of each of the angles. Don’t forget to label your answer

user100 [1]

Answer:

$a=125^o$

$b=55^o$

$c=55^o$

$d=55^o$

$e=125^o$

$f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25$

$x=50$

step 2

Find the measure of angle a

we know that

$a=(x+75)^o$ ----> by vertical angles

substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

$a=125^o$

substitute

$125^o+b=180^o$

$b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

$c=b$ ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

$d=b$ ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

$e=a$ ----> by alternate exterior angles

we have

$a=125^o$

therefore

$e=125^o$

step 7

Find the measure of angle f

we know that

$f=d$ ----> by vertical angles

we have

$d=55^o$

therefore

$f=55^o$

4 0

2 years ago

If M <1 = 115 degrees what is m <2

SIZIF [17.4K]

Answer:

M<2= 65

Step-by-step explanation:

The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.

You would use angle addition postulate to find the answer so M<1 + M<2 = 180.

Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180

Then you would subtract 115 from 180 in which you would get M<2 = 65

6 0

3 years ago

Here are four number cards.

vfiekz [6]

Answer:

its number 6

Step-by-step explanation:

6 0

3 years ago

Only do question 4<br><br> 50 points<br><br> Topic: Percentage

Sergeu [11.5K]

Answer:

a 1

b 6

c 15

Step-by-step explanation:

101% 101/100 = 1 1/100

is 1 complete 100 grid and 1/100 of another grid so you will need 2 grids

589% 589/100 = 5 89/100

is 5 complete 100 grids and 89/100 of another grid so you will need 6 grids

1450% 1450/100 = 14 50/100

is 14 complete grids and 50/100 of another grid so you will need 15 grids

4 0

3 years ago

The triangles shown below must be congruent. right awnsers only please.

tankabanditka [31]

It is true. The triangles are congruent.

8 0

3 years ago

Read 2 more answers