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Papessa [141]
3 years ago
11

Use this attachment to answer 1-3

Mathematics
1 answer:
nignag [31]3 years ago
5 0
Simple,

1.) A vertical angle, is an angle directly across another angle. Thus, <2 and <5 are vertical angles.

2.)This is another pair of vertical angles, thus, m<4 is 53.

3.)Since m<1 is 50

You have the m<4 which is 50. You already have m<3 which is the right angle, 90. 

Thus, 90+50=140

You know a line is supposed to be 180 degrees. So take,

180-140=40

Thus, the m<5 is 40.
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olga_2 [115]
Each taco costs $.83
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4 years ago
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Helene is finding the sum (9 10i) (–8 11i). She rewrites the sum as (–8 11)i (9 10)i. Which statement explains the property of a
Andreyy89

She made the mistake of grouping unlike terms and factorizing.

Given that

Helene is finding the sum (9 + 10i) + (–8 + 11i).

She rewrites the sum as (–8 + 11)i + (9 + 10)i.

We have to determine

Which statement explains the property of addition that she made an error in using?

According to the question

The mistake she did is in the second term distributing.

(9+10i) is not equal to (9+10)i

Similarly (-8+11i) is not equal to (-8+11)i.

The correct method she should have done is given below;

Grouping real terms together and imaginary terms together and finding the sum is,

\rm =  (9 + 10i) + (-8 + 11i)\\\\= 9+10i-8+11i\\\\= (9-8) +(10i+11i)\\\\=1+21i

Hence, she made the mistake of grouping unlike terms and factorizing.

To know more about Complex Number click the link given below.

brainly.com/question/10078818

6 0
3 years ago
Barry runs at an average rate of 8 mi/hr. He walks at an average rate of 3 mi/hr. If x represents the time spent running and y r
Viktor [21]
<h3>Answer:   8x+3y = 16</h3>

============================

Work Shown:

x = number of hours spent running

8x = distance he runs (since he runs at 8 mph)

y = number of hours spent walking

3y = distance he walks (he walks at a speed of 3 mph)

8x+3y = total distance = 16 miles

8x+3y = 16

This equation is in standard form Ax+By = C

--------

Extra Info

Solving for y will get

8x+3y = 16

3y = -8x+16

y = (-8x+16)/3

y = (-8x)/3+16/3

y = (-8/3)x+16/3

This is in slope intercept form y = mx+b

m = -8/3 is the slope

b = 16/3 is the y intercept

4 0
3 years ago
Help much needed please!!!!!!!!
Delicious77 [7]
The line y=3 is a vertical line.  Thus, another line that is perpendicular to y=3 is a horizontal line.   If this horiz. line passes thru  the point (5, -6), then x = 5 is the desired equation.
5 0
3 years ago
6. Mark has $1000 in a savings account and withdraws $55 per week. Patricia has $800 in savings and
emmainna [20.7K]

Hey there! I'm happy to help!

Let's call the number of weeks w. Since we want their balances, to be equal, we can create an equation.

1000-55w=800-30w

Now we solve for w. We add 30w to both sides.

1000-25w=800

Subtract 1000 from both sides.

-25w=-200

Divide both sides by -25.

w=8

Therefore, Mark and Patricia will have the same amount of money in their savings accounts after 8 weeks.

Have a wonderful day! :D

8 0
3 years ago
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