4.

Minchanka [31]

Answer-

The values of x and y are 20° and 30, respectively.

Solution-

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

$\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30$

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

$\Rightarrow 80^{\circ}=x+60^{\circ}$

$\Rightarrow x=80^{\circ}-60^{\circ}$

$\Rightarrow x=20^{\circ}$

Therefore, the values of x and y are 20° and 30, respectively.

4 0

3 years ago

Which function , A or B has a greater rate of change ? Be sure to include the values for the rates of change in your answer . Ex

arsen [322]

<h2>Answer:</h2>

A rate of change tells us how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:

$Rate \ of \ Change=\frac{Change \ in \ y}{Change \ in \ x}$

For linear functions. the rate of change is the slope of the line. Thus:

FOR THE TABLE:

By taking two points we can get the rate of change, so let's take $(1,5) \ and \ (2,7)$ :

$ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{7-5}{2-1} \\ \\ ROC=\frac{2}{1} \\ \\ \boxed{ROC=2}$

FOR THE GRAPH:

Let's take $(1,1) \ and \ (2,4)$ :

$ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{4-1}{2-1} \\ \\ ROC=\frac{3}{1} \\ \\ \boxed{ROC=3}$

As you can see, $3>2$ so the ROC of the function given by the graph is greater than the ROC of the function given by the table.

3 0

3 years ago

Tony likes to run during his free time. He runs a pace of 5.5 minutes per mile. On Saturday, Tony started running at 8:30am and

timofeeve [1]

Answer:

Step-by-step explanation:

6 0

3 years ago

Please tell me the correct answer. No link will be acceptable

Nataly [62]

Answer:

The first answer: 5bk + 5b + k

Step-by-step explanation:

Now, you might say it would be the 10bk one, but that's not right.

The only you can get two variables together is through multiplication. That's why 10bk would not work.

8 0

3 years ago

Read 2 more answers

A company’s profit is equal to revenue minus cost. For one company, the yearly revenue is $32 million. What function rule descri

Naily [24]

Answer:

p=32-c (*Units in million $)

Step-by-step explanation:

Let r be the revenue realized in any given year.

-Given that c=cost and p= revenue

#We notice that the profit, cost or revenue realized in one year is independent of the prior or subsequent year.

-Therefore, the revenue function is independent of time and is expressed as:

$p=r-c\\\\r=32\\\\\therefore p=32-c$

Hence, the yearly profit for any given year is expressed as p=32-c (*Units in million $).

6 0

3 years ago