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kirill115 [55]
3 years ago
7

trying to find the measure of the numbered angle? can someone please help me with these!:) thank you!!!!

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0
1 = 50
2 = 90, 3 = 60
4 & 5 = 60
6 = 60
7 = 100
Likurg_2 [28]3 years ago
3 0

As Sum of the Three Angles in a Triangle = 180°

We can write as :

Angle (1) + 40° + 90° = 180°

Angle (1) + 130° = 180°

Angle (1) = 180° - 130°

Angle (1) = 50°

As Angle (2) and 90° are Vertically opposite Angles :

Angle (2) should be Equal to 90°

Angle (2) = 90°

Angle (2) + Angle (3) + 30° = 180°

90° + Angle (3) = 30° = 180°

Angle(3) + 120° = 180°

Angle(3) = 180° - 120°

Angle(3) = 60°

As Angle (3) and Angle(4) are Vertically opposite Angles :

Angle (4) should be Equal to Angle(3)

Angle (4) = 60°

Angle(4) + Angle(5) + 60° = 180°

60° + Angle(5) + 60° = 180°

Angle(5) + 120° = 180°

Angle(5) = 180° - 120°

Angle(5) = 60°

As Angle (5) and Angle(6) are Vertically opposite Angles :

Angle (6) should be Equal to Angle(5)

Angle (6) = 60°

Angle(6) + Angle(7) + 20° = 180°

60° + Angle(7) + 20° = 180°

Angle(7) + 80° = 180°

Angle(7) = 180° - 80°

Angle(7) = 100°

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Graph a system of equations to approximate the
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Step-by-step explanation:

8 0
3 years ago
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
ST | PR. Find QR. 35 28 40
Greeley [361]

Answer:

The answer is 47

Step-by-step explanation:

I'm pretty sure this is the answer :)

40 - 28 = 12

35 + 12 = 47

Proof: 35 - 28 = 7

          47 - 40 = 7

8 0
2 years ago
What is the answer to this question??
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I cannot see anything on that sorry
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