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2 years ago

Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.

Mathematics

1 answer:

Andrews [41]2 years ago

5 0

Taking point Z  as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

The angle that is congruent to ∠DBA is; D. ∠BDC

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ≅ ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

Learn more about rotation transformation here:

brainly.com/question/4738741

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Y(a -b) =c(y+ a); y

Ksivusya [100]

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

y = ac / (a - b - c)

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2 years ago

Find 2 integers whose sum is -7 and whose product is 1.2

RSB [31]

X = - 7 - y ( - 7 - y ) y = 12y = - 3 or y = - 4x = - 7 - ( - 3) or x = - 7 - ( - 4)( - 4, - 3)( - 3, - 4)

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3 years ago

Complete the table for the given rule. Rule: y= 3x

Ratling [72]

Answer:

x=5

y=30

x=15

Step-by-step explanation:

y=3x=15, then x=15/3, x=5

x=10, then y=3x=3*10=30

y=3x=45, then x=45/3, x=15

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3 years ago

What is the midpoint of (-23,-14) and (-18,2)

zloy xaker [14]

Given two coordinates point 1 as (-23,-14) and point 2 as(-18,2).

To find the midpoint we would use the formula below;

$\text{midpoint(x,y)}=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Where x1=-23, x2=-18, y1=-14, y2=2

We would substitute the values into the midpoint formula.

$\begin{gathered} \text{midpoint =(}\frac{-23-18}{2},\frac{-14+2}{2}) \\ =(-\frac{41}{2},-6) \end{gathered}$

Therefore, the answer is

$\text{midpoint}=(-\frac{41}{2},-6)$

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1 year ago

Find the point in the first octant where the tangent plane to x2+116y2+14z2=1 is parallel to the plane x+y+z=10

Stella [2.4K]

2x+3=yx bc it makes the most sence

7 0

3 years ago