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3 years ago

Find the measure of the exterior angle shown

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

• exterior angle of a triangle is equal to sum of opposite interior angle

(6x-7) = (103-x) + 2x

6x-7 = 103 - x + 2x

6x-7 = 103 + x

6x - 7 - x -103 = 0

6x - x - 110 = 0

5x - 110 = 0

5x = 110

x = 110/5

x = 22

as exterior angle is (6x-7)

= 6 × 22 - 7

= 125

-> Exterior angle is 125°

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A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft d

GuDViN [60]

The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.

Step-by-step explanation:

Given,

A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.

The price of a hot dog is $1.25 more than the price of a bag of potato chips.

The cost of a soft drink is $2.75 less than the price of two hot dogs.

To find the cost of each item.

Let,

The price of chips = x

The price of a hot dog = x+1.25

Price of two hot dog = 2(x+1.25) = 2x+2.5

The price of a soft drink = 2x+2.5-2.75 = 2x-0.25

Now,

According to the problem,

4(x+1.25)+3x+4(2x-0.25) = 15.25

or, 15x+5-1 = 15.25

or, 15x = 11.25

or, x = 0.75

Hence,

The price of chips = $ 0.75

The price of a hot dog = $ 0.75+1.25 = $ 2

The price of a soft drink = $ 2×0.75-0.25 = $ 1.25

5 0

3 years ago

Sole for |p+8| over 2 =5

Lubov Fominskaja [6]

Answer:

p =2 p=-18

Step-by-step explanation:

|p+8|

-------------- = 5

Multiply each side by 2

|p+8|

-------------*2 = 5*2

|p+8| =10

There is a positive and a negative solution

p+8=10 p+8=-10

Subtract 8 from each side

p+8-8=10-8 p+8-8=-10-8

p =2 p=-18

7 0

3 years ago

Find the 75th term of the following6, 10, 14, 18,

enot [183]

Given the sequence:

6, 10, 14, 18,...

We will find the 75th term

The given sequence is an arithmetic sequence

Because there is a constant common differnce

d = 18 - 14 = 14 - 10 = 10 - 6 = 4

The first term = a = 6

The general formula of the arithmetic sequence is as follows:

$a_n=a+d(n-1)$

Where: n is the nth term

To find the 75th term, substitute with n = 75 and a = 6, d = 4

$a_{75}=6+4\cdot(75-1)=302$

So, the answer will be the 75th term = 302

7 0

11 months ago

Ber [7]

Answer:

2/1

Step-by-step explanation:

5 0

2 years ago

Last week Lisa had gross earning of $441.30. Cathy receives a base salary of $375 and a commision on sales exceeding her quota o

vova2212 [387]

Answer:

4.25%

Step-by-step explanation:

Step 1: Calculate the commission paid

Commission = Gross earning - base salary

Commission = 441.3 - 375

Commission = 66.3

Step 2: Calculate the commission sales

Commission sales = Total sales - quota sales

Commission sales = 6560 - 5000

Commission sales = 1560

Step 3: Calculate the rate of commission

x% of 1560 = 66.3

x% * 1560 = 66.3

x% = 0.0425

x = 4.25%

Therefore, the rate of commission was 4.25%.

6 0

3 years ago

Find the measure of the exterior angle shown​

Find the measure of the exterior angle shown