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lilavasa [31]
3 years ago
8

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

The vale of x=4

Step-by-step explanation:

We know that the sum of angles of a triangle = 180°

Given

  • (3x+13)
  • (8x+14)
  • 109°

Thus, the equation becomes

(3x+13)  + (8x+14)  + 109° = 180°

11x + 27 + 109° = 180°

11x = 180°- 109° - 27

11x = 44

x = 4

Thus, the vale of x=4

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Courtney works at the local shoe store and receives $150 a week plus 3% of all sales over $1000. This week her sales were $3200.
schepotkina [342]

The equation you would use to find her earning for the week would be:

y=0.03(x-1000)+150

This would mean she made $66 from commissions and $216 total.

6 0
3 years ago
Which statements are true?<br>(look at picture)​
Makovka662 [10]

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

A

n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)

this is <u>not</u> an odd number

B

n(n-1)=(2a+1)2a

this is <u>not</u> an odd number

C

(n-1)^2=(2a+1-1)^2=4a^2

this is <u>not</u> an odd number

D

n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1

so this is an odd number

E

n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1

so this is an odd number

F

(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1

this is an odd number

hope this helps

7 0
3 years ago
In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups
Arisa [49]
4 tables = 1 group. So in 10 groups of tables, there are 40 tables. Each table seats 8 students, so you multiply 8 by 40, and that leaves your answer as 320 students. :)
4 0
2 years ago
A retail store during the holiday season sold (18) $400 computers, (11) $500 computers, (7) $600
dezoksy [38]

Answer:

$450

Step-by-step explanation:

A way to find the median of a set of numbers is by listing each number one by one and then slowly crossing out the smallest and biggest number one by one. If you end up with two numbers left, then you take the mean of those numbers. To do that, you add the two numbers and divide it by two.

7 0
3 years ago
PLEASE HELP ME SO I CAN MOVE ON FROM THIS TOPIC
ExtremeBDS [4]

Answer:

3rd option

Step-by-step explanation:

(\frac{f}{g} )(x)

= \frac{f(x)}{g(x)}

= \frac{2x^2-5x-3}{2x^2+5x+2} ← factorise numerator and denominator

= \frac{(x-3)(2x+1)}{(x+2)(2x+1)} ← cancel (2x + 1) on numerator/ denominator

= \frac{x-3}{x+2}

4 0
3 years ago
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