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Sav [38]
3 years ago
14

If f(x)=7-2x find f(3)+6

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0
First, solve for f(3)
f(3)= 7-2(3)
f(3)= 1

So, f(3)+6= 1+6= 7
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I don’t know what i’m doing!
Colt1911 [192]

Answer:

  • angle list = measure
  • 2, 4 = 35°
  • 3, 7, 9 = 52°
  • 11 = 87°
  • 1, 5, 10, 12 = 93°
  • 6, 8 = 128°

Step-by-step explanation:

As with a lot of math, it helps to understand the vocabulary. That helps you understand what is being said when the words are used to form a thought.

A "transversal" is a line that cuts across two parallel lines. At each intersection, 4 angles are formed. The angles are given different names, so we can talk about pairs of them being congruent.

The four angles between the parallel lines are called <em>interior</em> angles. The four angles outside the parallel lines are called <em>exterior</em> angles. When the angles are on opposite sides of the transversal, they are <em>alternate</em> angles.

In the diagram, we can identify the following pairs in each category:

  • alternate interior: {3, 9}, {5, 10}
  • alternate exterior: {1, 12}, {7, 52°}

When interior angles are on the same side of the transversal, they are called <em>same-side</em> or <em>consecutive</em> interior angles. Exterior angles cannot be consecutive. Here are some in that category:

  • consecutive interior: {3, 6}, {5, 87°}

Angles created by a ray extending from a line are a <em>linear pair</em>. Angles of a linear pair are supplementary, that is, their sum is 180°. Angles formed by two intersecting lines, sharing only the same vertex, are called <em>vertical</em> angles. Vertical angles are both supplementary to the other angle of the linear pair of which they are a part. Since they are supplementary to the same angle, they are congruent (have the same measure). Here are some linear pairs and some vertical angles in the figure:

  • linear pairs: {6, 7}, {7, 8}, {8, 9}, {6, 9}, {10, 87°}, {10, 11}, {11, 12}, {12, 87°}
  • vertical angles: {1, 5}, {2, 4}, {3, 52°}, {6, 8}, {7, 9}, {10, 12}, {11, 87°}

<em>Corresponding</em> angles are ones that are in the same direction from the point of intersection. Some of those pairs are ...

  • corresponding angles: {1, 10}, {5, 12}, {3, 7}, {9, 52°}

Here are the relations that help you work this problem:

  • alternate interior angles are congruent
  • alternate exterior angles are congruent
  • vertical angles are congruent
  • corresponding angles are congruent
  • a linear pair is supplementary
  • consecutive interior angles are supplementary

__

So far, we haven't mentioned much about the angles where lines j, k, l all meet. Transversal j cuts some of the angles created by transversal k, and vice versa. So, there are some angle sum relations that also apply to corresponding angles:

  • ∠1+∠2≅∠6
  • ∠2+52°≅87°
  • ∠3+∠4≅∠11
  • ∠4+∠5≅∠8

_____

With an awareness of all of the above, you can figure the measures of all of the angles in the diagram.

  ∠1 ≅ ∠5 ≅ ∠10 ≅ ∠12 = 180° -87° = 93°

  ∠2+52° = 87°  ⇒  ∠2 ≅ ∠4 = 87° -52° = 35°

  ∠3 ≅ ∠7 ≅ ∠9 ≅ 52°

  ∠6 ≅ ∠8 = 180° -∠7 = 128°

  ∠11 ≅ 87°

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How do you find the area of a circle with just the radius?
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Answer:

Oh that's easy! You find out what the radius is.. then the diameter is another one of that number. Example say that the radius is 10 then the diameter is 20 or if the radius is 7 the diameter is 14

Step-by-step explanation:

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3 years ago
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sasho [114]

Answer:

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Step-by-step explanation:

Since x is in an absolute value, we know that no matter what value we put in for x, the result will always be positive. B fits this description.

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2 years ago
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7(8+x+2) equals what exactly i dont know ​
Nataly [62]

Answer:

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Step-by-step explanation:

7(8+x+2)

Combine like terms in the parenthesis

7(8+2+x)

7(10+x)

Distribute

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natulia [17]

Answer:

<u><em>9 months</em></u>

Step-by-step explanation:

Principal= P= $1200

Rate=R= 15%

Interest= I= $135

Time= T= ?

I=P*R*T/100

135= 1200*15*T/100

135*100=18000*T

13500/18000=T

T= 0.75 years

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3 years ago
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