All categories

2 years ago

Find the value of each variable and the measure of each angle

Mathematics

1 answer:

Misha Larkins [42]2 years ago

8 0

Answer:

Left angle = 60°

Top angle = 120°

Right angle = 60°

Step-by-step explanation:

Use what you know about angle relationships to set up equations you can solve for each variable.

The top top angle, for example, added to one of the other angles must equal 180° because they are supplementary.

You have two variables, so you need at least two equations (I made three but only used two).

The work is in my attachment, comment of you have questions.

You might be interested in

In a certain town, the amount of sulfur oxide in the air, S, in tons, is related to the town’s population, P, in people. The rel

Lady bird [3.3K]

Answer:

Change in sulfur oxide in the air = $\frac{\textup{110010}}{\textup{S}}$

Step-by-step explanation:

Data provided in the question:

Relation between the amount of sulfur oxide in the air and the population as:

S² = 110P² + 20P + 600

Population growth rate, $\frac{\textup{dP}}{\textup{dt}}$ = 10 people per month

Now,

change in sulfur oxide with time i.e $\frac{\textup{dS}}{\textup{dt}}$

differentiating the given relation with respect to time 't'

we have

$2S\frac{\textup{dS}}{\textup{dt}}$ = $2\times110P\frac{\textup{dP}}{\textup{dt}}$ + 20

at P = 100 and $\frac{\textup{dP}}{\textup{dt}}$ = 10 people per month

we have

$2S\frac{\textup{dS}}{\textup{dt}}$ = 2 × 110 × 100 × 10 + 20

$2S\frac{\textup{dS}}{\textup{dt}}$ = 220020

$\frac{\textup{dS}}{\textup{dt}}$ = $\frac{\textup{220020}}{\textup{2S}}$

Change in sulfur oxide in the air = $\frac{\textup{110010}}{\textup{S}}$

8 0

2 years ago

Worth 20 points, please help and give good answers than you(will mark brainlest)

nalin [4]

Answer:

Step-by-step explanation:

all you need is to solve the first term

2x² - (-3x²) = 5x² ,

b is the only answer with 5x² in it

4 0

2 years ago

Read 2 more answers

A bag contains 8 blue coins and 6 red coins. A coin is removed at random and replaced. This happens three times. What is the pro

attashe74 [19]

Answer:

Each time you draw, there is a 57.143% chance it will be blue, and a 42.857% chance it will be red.

8 0

3 years ago

What is the linear equation for this table?

MrRa [10]

Answer:

y=-2x-5

Step-by-step explanation:

6 0

2 years ago

A farmer owns 1,000 acres. The farmer buys farms of 120 acres, 160 acres, and 700 acres and sells one farm of 190 acres. How man

vredina [299]

Answer : The area of land a farmer own now is, 1790 acres

Step-by-step explanation :

Area of land a farmer owns = 1000 acres

Total area of land farmer buy = 120 acres + 160 acres + 700 acres

Total area of land farmer buy = 980 acres

Area of land a farmer sells = 190 acres

Thus, the remaining area of land a farmer has = Total area of land farmer buy - Area of land a farmer sells

The remaining area of land a farmer has = 980 acres - 190 acres

The remaining area of land a farmer has = 790 acres

Now we have to determine the area of land a farmer own now.

Area of land a farmer own now = 1000 acres + 790 acres

Area of land a farmer own now = 1790 acres

Therefore, the area of land a farmer own now is, 1790 acres

3 0

3 years ago

Read 2 more answers

Find the value of each variable and the measure of each angle​

Find the value of each variable and the measure of each angle