Ask question

Ask question

All categories

3 years ago

12

Can someone please help me out

1 answer:

Umnica [9.8K]3 years ago

8 0

First, we have to figure out the angles on the interior of the triangles. Since the 90° angle and the angle next to it form a straight line, we know that they are supplementary and add up to 180°. We would then subtract 90° from 180° to find the value of that angle, which comes out to be 90°. Next, since the angle measuring 125° and the angle next to it are supplementary, we would repeat the same procedure: 180° - 125° = 55°. Now that we know the values of two of the interior angles of the triangle, we can solve for the third. The angles of a triangle should add up to 180°, so we can solve for <em>p</em> like this:

90 + 55 + <em>p</em> = 180
145 + <em>p</em> = 180
<em>p </em>= 180 - 145
<em>p</em> = 35

The value of <em>p</em> <em />is 35°.

You might be interested in

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

Clare is painting some doors that are all the same size. She used 4 liters of paint to cover 50 doors. How many liters of paint

Alinara [238K]

Answer:

12.5 leters

Step-by-step explanation:

If you take the 4 liters she used to cover 50 doors,

4 0

2 years ago

Read 2 more answers

Solve the equation and check the solution.

777dan777 [17]

Answer:

a = 4

Step-by-step explanation:

Here, we want to write and solve the given equation

a - 2.5 = 1.5

a = 2.5 + 1.5

a = 4

To check, we simply substitute a = 4

That would be;

4-2.5 = 1.5

This is correct

7 0

3 years ago

Read 2 more answers

3 movie tickets cost $48. At this rate, what is the cost of 15 movie tickets

Snowcat [4.5K]

Answer:

The total of the 15 tickets would be $240

Step-by-step explanation:

If you divide 48 and 3 you get 16 which is the cost for each ticket and then yuo multiply 16 by 15 and you get 240

3 0

2 years ago

Read 2 more answers

A function is shown f(x) = 2/3x +3 what is the value of f (6)?

Katena32 [7]

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

$f(x) = 2/3x +3$

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

$f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9$

5 0

3 years ago