if a line has a slope of 2/3 a line that is perpendicular has a slope of what​

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

[tex]a^2=b^2+c^2-2bc\cos A[/tex]

Using cosine formula in ΔOPQ, we get

[tex]o^2=p^2+q^2-2pq\cos O[/tex]

On substituting the values, we get

[tex]o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)[/tex]

[tex]o^2=32400+14400-43200(-0.9877)[/tex]

[tex]o^2=46800+42668.64[/tex]

[tex]o^2=89468.64[/tex]

Taking square root on both sides.

[tex]o=\sqrt{89468.64}[/tex]

[tex]o=299.113[/tex]

[tex]o\approx 299[/tex]

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

Answer:

f=−g+9/2

g=−f+9/2

Step-by-step explanation:

hope that helps:)

Step-by-step explanation:

Mode= Most frequently occurred data

61 occurred 2 times in the given set of data

Answer:

y intercept=-9

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

y = 1/5x + 3

Step-by-step explanation:

y - 4 = 1/5(x - 5)

y - 4 = 1/5x - 1             Distribute numbers to parenthesis

y = 1/5x + 3                 Add 4 to both sides

Answer:

1,000 is both a rational number and a whole number.

If my answer helped, please mark me as the brainliest!!

Thank You!!

Answer:

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

, because that will give us the x-value at which the line crosses the x-axis.

Step-by-step explanation:

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

Answer:

45 degrees and 45 degrees

Step-by-step explanation:

45+45=90

The measure of the two complementary angles will be 45.

Complementary angles are those whose combined angle is exactly 90 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the two angles are complementary to each other.

The complementary angles are the angles having the sum of 45 degrees. The two complementary angles will be calculated as,

45 + 45 = 90

Here one angle is 45 and the other angle is also 45 and the sum of the angles is 90.

Therefore, the measure of the two complementary angles will be 45.

To know more about complementary angles follow

https://brainly.com/question/16281260

#SPJ2

Answer:

7

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the opposite interior angles

18x+9 = 5x-5 + 105

Combine like terms

18x+9 = 5x +100

Subtract 5x from each side

18x-5x +9 = 5x+100-5x

13x +9 = 100

Subtract 9 from each side

13x +9-9=100-9

13x= 91

Divide by 13

13x/13 = 91/13

x = 7

Answer:

C

Step-by-step explanation:

[tex]f(x)=4(5)-11\\f(x)=20-11\\f(x)=9[/tex]

<3

Red

Answer:

9

Step-by-step explanation:

f(x)= 4×5 - 11

you plug in the 5

4×5=20

20-11

= 9

Answer:

image is not very clear

Step-by-step explanation:

m∠3 = 180 - 108

m∠3 = 71°

or

m∠8 ≅ m∠3 = 109°

Answer:

Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best. It's pretty much like what inception is in the movie.

A soft tongue is using calm words which in my opinion means you have the utmost confidence in what you're saying. I dont think it literally means bones will break but the person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.

Answer: See answer below

Step-by-step explanation:

Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best.

A soft tongue is using calm words which means you have the utmost confidence when speaking. The phrase "break bones" means that a person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.

Answer:

45°

Step-by-step explanation:

was this the last one?

Answer:x = -5/3 or x = 1/2

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+7x−5=0

Step 1: Factor left side of equation.

(3x+5)(2x−1)=0

Step 2: Set factors equal to 0.

3x+5 = 0 or 2x−1 = 0

x = -5/3 or x = 1/2

Answer:

[tex]x=\frac{1}{2}[/tex]

[tex]x=-1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]x=\frac{-b±\sqrt{b^{2} +4ac} }{2a}[/tex]

Ignore the A before the ±, it wouldn't let me type it correctly.

6x² + 7x - 5 = 0

a = 6

b = 7

c = - 7

[tex]x=\frac{-(7)±\sqrt{7^{2} +4((6)(-5))} }{2(6)}[/tex]

[tex]x=\frac{-(7)±\sqrt{49 +4((6)(-5))} }{2(6)}[/tex]

[tex]x=\frac{-(7)±\sqrt{49 +120} }{2(6)}[/tex]

[tex]x=\frac{-7±\sqrt{169} }{12}[/tex]

[tex]x=\frac{-7±13 }{12}[/tex]

Two separate equations

[tex]x=\frac{-7+13 }{12}[/tex]

[tex]x=\frac{-7-13 }{12}[/tex]

________________________

[tex]x=\frac{-7+13 }{12}[/tex]

[tex]x=\frac{6 }{12}[/tex]

[tex]x=\frac{1}{2}[/tex]

[tex]x=\frac{-7-13 }{12}[/tex]

[tex]x=\frac{-20 }{12}[/tex]

[tex]x=-1\frac{2}{3}[/tex]

Answer:

4.55294117. If you want it rounded look below.

Step-by-step explanation:

-Rounded-

Hundredths:4.55

Tenth: 4.6

Thousandth: 4.553

Whole Number: 5

Hope this helps. :D

Answer: m = 5/2

..............................

Answer:

C: 5/2

Step-by-step explanation:

I looked it up on Math-way

Answer:

1/16

Step-by-step explanation:

you need to add it to have a correct answer

[tex]1/10^{3}[/tex]

in order to do this you flip it or do the reciprocal and make your exponent positive

Answer:

Step-by-step explanation:

Subtract 6 from 18. 3x=18. You could divide by 3 to get x=6

Answer:

8

Step-by-step explanation:

bababooey

Answer:

$18876

Step-by-step explanation:

Given : 142 green pepper plants & 100 red pepper plants, each plant produces 26 peppers, each pepper sells for $3.

Total Peppers = Total pepper plants x peppers per plant

(142 + 100) x 26  = 242 x 26 = 6292

Total expected money income estimate = Total peppers x price per pepper

= 6292 x 3 = 18876

Answer:

the right is the answer :>

Step-by-step explanation:

Answer:

EOG is 64

Step-by-step explanation:

We can have a diagram for this.

From the description in the question, we can see that the ray FO splits the angle into 2.

We can have the diagram as shown in the attachment;

So mathematically;

EOG = EOF + FOG

So EOG = 26 + 38

EOG = 64 degrees

Please check attachment for a diagram

If it is the two ordered pairs that are given then use the following slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

also known as m = rise / run

Step-by-step explanation:

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