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1 year ago

How do I solve the triangle for angle P?

Mathematics

2 answers:

ozzi1 year ago

8 0

Answer:

∠ P = 29°

Step-by-step explanation:

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

56° is an exterior angle of the triangle , then

∠ P + ∠ R = 56°

∠ P + 27° = 56° ( subtract 27° from both sides )

∠ P = 29°

Ira Lisetskai [31]1 year ago

4 0

Answer: P = 29

Step-by-step explanation:

First, we know all angles of a triangle equal 180. So let's subtract the known one. 180 - 27 = 153. Also, the exterior and interior of any triangle angles = 180. So we can subtract 180 from 56 and subtract that result from 153: 180 - 56 = 124. Now that we have the interior angle for O, we just subtract 124 from 153: 153 - 124 = 29. So P = 29.

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What is the distance between the points (21,-30) and (3,8)

Scilla [17]

Answer:

approximately 42.05

Step-by-step explanation:

We know that the distance formula is $\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }$ , so if we use (3,8) as point 2 and (21, -30) as point 1 (note that these are interchangeable), we know that

x₂=3

y₂=8

x₁=21

y₁=-30

Then, we can plug it into the formula to get $\sqrt{(3-21)^{2} +(8-(-30))^{2 }} = \sqrt{18^{2}+38^{2}}=sqrt{1769}= 42.05 (approximately)$

5 0

3 years ago

Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the

kozerog [31]

Answer:

5 hours

Step-by-step explanation:

Given

$y = 420 + 72x$ --- Revenue

$y = 24x^2 + 180$ --- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

$24x^2 + 180 = 420 + 72x$

Collect Like Terms

$24x^2 - 72x + 180 - 420 = 0$

$24x^2 - 72x -240 = 0$

Divide through 24

$x^2 - 3x - 10 = 0$

Expand:

$x^2 -5x + 2x -10 = 0$

Factorize:

$x(x -5) + 2(x -5) = 0$

$(x + 2)(x -5) = 0$

$x + 2 = 0\ or\ x - 5 = 0$

$x = -2\ or\ x = 5$

But x can't be negative because it represents time.

<em>So, x = 5 hours</em>

3 0

3 years ago

Two lines intersect and two of the vertical angles measure 37°. What is the measure of the other two vertical angles?

Shtirlitz [24]

Answer:

286 degrees and 143 degrees

Step-by-step explanation:

When line intersect the two vertical angle adds up to 180 degrees

To find the other vertical angle:

180 -37=143 degrees

So for two vertical angles

we take (180*2)-(37*2)=286 degrees

8 0

3 years ago

Find an equation of the line through (3,6) and parallel to y = 4x - 7.

FromTheMoon [43]

Answer:

$y=4x-6$

Step-by-step explanation:

Okay, to do this we must understand what parallel means.

parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,

$y=4x+c$ .

Now lets find $c$ .

To do this, plug the point (3,6) into the equation

6=4(3)+C

6=12+C

-6=C

Thus now that we know C, our equaiton is

$y=4x-6$

4 0

3 years ago

Read 2 more answers

Josh has a collection of 110 comic books. Eighty-two of the comic books feature superheroes. What percent of the comic books fea

IceJOKER [234]

So,

Josh has 110 comic books total, and 82 of them feature superheroes. To find the percentage, just divide 82 by 110.

$\frac{82}{110} = \frac{2*41}{2*5*11} = \frac{41}{55}$

$\frac{41}{55}=0.7\overline{45}$

To convert to a percent, just move the decimal place two places to the left and add a percent sign.

$0.7\overline{45} --\ \textgreater \ 74.\overline{54}\ percent$

Rounding, we get:

75%

So about 75% of Josh's comic books feature superheroes.

7 0

3 years ago

Read 2 more answers