All categories

2 years ago

Interior and Exterior Triangle Angles please help asap !!!!

Mathematics

1 answer:

Fiesta28 [93]2 years ago

8 0

Answer:

∠ WUV = 36°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ VWX is an exterior angle of the triangle, thus

8x - 18 = 2x + 8 + 3x + 16

8x - 18 = 5x + 24 ( subtract 5x from both sides )

3x - 18 = 24 ( add 18 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Thus

∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°

You might be interested in

HELPPP ASAPPPPPP PLEASEEEE !!!!!

Verizon [17]

The correct answer is B

8 0

3 years ago

Can some plz help me plz!!!!!

LiRa [457]

The choices are in the slope-intecept form: y = mx + b, where m is the slope and b is the y-intercept. Looking at the graph, the y-intercept is the point at which it intersects the y-axis. That would be -1. So, the answer is either the 1st or 2nd choice. Next, we find the slope. Take 2 points that lie along the line. For example, points (1,2) and (2,5). Calculate for the slope.

m = (y2-y1)/(x2-x1)
m = (5-2)/(2-1)
m = 3

Hence, the graph is y = 3x - 1

8 0

4 years ago

Teboho has to sell a certain number of cars each month. For every car he sells over and above this number he earns 17% commissio

Nastasia [14]

The commission earned are R41123.17, R47931.67 and R15024.09

<h3>The prices of the cars before VAT was added</h3>

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

<h3>The commission he earned on the cars.</h3>

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09