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maria [59]
3 years ago
10

PLEASE SOLVE THE QUESTION BELOW Copy and paste these symbols if needed Δ ∠ ≅ ~.

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Statement:                                                            Reason:

1. Line AB is parallel to Line DE                    1. Given

2. Angle ABC is congruent to Angle ECD   2. Vertical Angle Theorem (Vertical        

                                                                           Angles are congruent)

3. Angle ABC is congruent to Angle             3. If a pair of parallel lines are cu

  CDE                                                                         by a transversal, then the

                                                                          alternate int angles r congruent

4. Triangle ABC is similar to Triangle EDC     4. Angle-Angle Postulate                                                                            

Step-by-step explanation:

I hope this helps!

You might be interested in
My sandbox is a square each side is 6 feet long what is the area of the sandbox
alexgriva [62]

Answer:

36 feet²

Step-by-step explanation:

Each side is 6 feet

Multiply length * width to find area

6 * 6

36 feet²

Hope this helps :)

8 0
3 years ago
A pair of perpendicular lines intersect at the point (5,9). Write
maw [93]

Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y =  -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0
3 years ago
How do I find x and y?
madreJ [45]

Answer:

Well to find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation.

<em>Hope I helped</em>

From Google

6 0
3 years ago
Read 2 more answers
What is the inverse of the equation y = 3x + 2?
Anna71 [15]

Answer:   y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

=================================================

To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3

4 0
3 years ago
The vertex of this parabola is at (-4,-1).When the y-value is 0,the x-value is 2.What is the coefficient of the squared term in
densk [106]

Answer:

  1/36

Step-by-step explanation:

When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.

The coefficient of the squared term is 1/36.

8 0
3 years ago
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