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2 years ago

Slope of line a is ½. What is the equation of a line that is parallel to line a? Y+½x=2 -2x+y+2=0 2x-2=y -½x+y-2=0

Mathematics

1 answer:

sasho [114]2 years ago

6 0

Answer:

The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

Step-by-step explanation:

A line is a polynomial function of the first degree that has the following form:

y = m * x + b

where m is the slope of the line and b is the intercept with the Y axis. The slope is the inclination of the line with respect to the abscissa axis.

In this case you know that the slope of line a is ½.

Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.

You have:

y+½x=2 → y= -½x +2
-2x+y+2=0 → y=2x -2
2x-2=y

-½x+y-2=0 → y=½x + 2

The line that has the same slope as line a is the last one, so the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

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Find the value of a. A. 58 B. 130 C. 86 D. 65

tatiyna

Answer:

$C. \ \ \ 86$ °

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

$a = c$

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

$86=\frac{a+c}{2}$

Substitute,

$86=\frac{a+c}{2}$

$86=\frac{a+a}{2}$

Simplify,

$86=\frac{a+a}{2}$

$86=\frac{2a}{2}$

$86=a$

5 0

2 years ago

Can somebody help me with these two? Thank you!

irina [24]

Answer:

I believe the first one is angle bisector and the second one is altitude

Step-by-step explanation:

4 0

2 years ago

polygon A i simllar to polgon B. find the perimeer of polygon B if one side of polygon A is 24 A sde to polygon B is 15 and the

Gemiola [76]

Answer:

Perimeter of polygon B = 80 units

Step-by-step explanation:

Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

$\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}$

Let $x$ be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.

Let's replace those value sin our proportion and solve for $x$ :

$\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}$

$\frac{24}{15} =\frac{128}{x}$

$x=\frac{128*15}{24}$

$x=\frac{1920}{24}$

$x=80$

We can conclude that the perimeter of polygon B is 80 units.

8 0

2 years ago

Factorize : y^3 -2y^2 -29y -42

AVprozaik [17]

Answer: $(y-7)(y+3)(y+2)$

Step-by-step explanation:

$y^{3} -2y^{2}-29y-42\\\\(y^{2}-4y-21)(y+2)\\\\(y-7)(y+3)(y+2)\\\\$

Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)

- Cutiepatutie ☺❀❤

7 0

3 years ago

Please help i need to finish

elena-s [515]

Answer:

B. $\overline A \overline C \cong \overline B \overline D$

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that $\overline D \overline C$ is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ $\overline A \overline C \cong \overline B \overline D$ is the additional fact needed to prove $\triangle ADC \cong \triangle BCD$

Hope this helps :)

5 0

2 years ago