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harina [27]
3 years ago
8

The table shows points that lie on a line.

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

y = 4*x+3

Step-by-step explanation:

First pick any 2 set of points to find the slope. I chose (1,7) and (3,15)

The slope formula is shown below

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }

Now fill in the variables and solve

15 - 3 = 12

3 - 0 = 3

Divide

12/3 = 4

So the slope is 4

The y intercept is 3 since that is where x = 0

Now we can write the equation

y = 4*x+3

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A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0
3 years ago
Can anyone solve this? will give brainliest if correct.
miv72 [106K]

Answer:

  • See below

Step-by-step explanation:

<u>The missing reasons are:</u>

  • 1. k. Given
  • 2. j. Definition of parallelogram
  • 3. d. Definition of linear pair
  • 4. b. Linear pair postulate
  • 5. e/m. Definition of supplementary
  • 6. g. Same side interior angles theorem
  • 7. e/m. Definition of supplementary
  • 8. a/c. Substitution property of congruence
  • 9. i. Subtraction property of congruence
  • 10. f. Alternate interior angles theorem
  • 11. l. Alternate exterior angles theorem
  • 12. h. Angle congruence postulate
8 0
2 years ago
Read 2 more answers
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
The figure is transformed as shown in the diagram. Describe the transformation.
Doss [256]
D is the correct answer
5 0
3 years ago
Read 2 more answers
The sum of a number and 3 is 8
Doss [256]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
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