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zmey [24]
3 years ago
15

In the figure, Line a is parallel to line b. Name the angles congruent to angle 3.

Mathematics
1 answer:
disa [49]3 years ago
3 0
Go with what u think will help u
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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

\Rightarrow 12h-5k=\pm 14

\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0
3 years ago
What expression can represent 4 more than the product of 6 and 2 1/2
mrs_skeptik [129]

Answer:

6 x 2 1/2 + 4 ??? I hope this is correct :)

Step-by-step explanation:

If its not.. I'm so sorry:(

Have a nice day! <3

7 0
3 years ago
Someone please help me!!
kobusy [5.1K]
<h3>Answer:</h3>

A) Isosceles

E) Obtuse

<h3>Step-by-step explanation:</h3>

Ways to Define a Triangle

Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).

Side Length

First, let's define equilateral, isosceles, and scalene.

  • Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
  • Isosceles - 2 of the sides are congruent.
  • Scalene - There are no congruent sides; each side has a different length.

The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.

Angle Measurements

Now, let's define acute, right, and obtuse.

  • Acute - All 3 angles are less than 90 degrees; all angles are acute.
  • Right - 1 of the angles is exactly 90 degrees; it has a right angle.
  • Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.

The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.

7 0
2 years ago
a taxi driver charges a fixed of r to a passenger. In addition, the taxi driver charges a rate of m for each mile driven. Write
lubasha [3.4K]
R=fixed rate
m=rate of miles
n= miless
T(n)=total amount per miles(n)
T (n) =mn+r
5 0
3 years ago
The length of a rectangle is 3 meters longer than the width. if the area is 36 square​ meters, find the​ rectangle's dimensions.
kompoz [17]
Here you are. you can see my explication.
have fun

8 0
3 years ago
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