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3 years ago

Given that line AB is the angle bisector or

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:
Equation is x-1=3x-11
x= 5

Explanation:
BC and BD are congruent. I forgot the name of the theorem but it involves proving the bisected angle’s triangles congruent.
So here’s my attempt at that:
Angle: Angle BAC and BAD are congruent as they are bisected.
Angle: The right angles are congruent.
Side: BA is congruent for both triangles. The triangles are congruent by AAS, so BC and BD must be congruent.
BC=BD
x-1=3x-11
10=2x
x=5

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You spin each spinner once. On the spinners, R represents red, B represents blue, G represents green, Y represents yellow, and P

NeTakaya

Answer:

1/6

1/12

1/2

Step-by-step explanation:

There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner. So there are a total of 3×4=12 possible combinations. We can show that by making a grid:

$\left[\begin{array}{cccc}&R&B&G\\R&RR&BR&GR\\B&BR&BB&BG\\P&PR&BP&GP\\Y&RY&BY&GY\end{array}\right]$

Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB). So the probability is 2/12 = 1/6.

There is only 1 outcome in which the first spinner lands on R <em>and</em> the second spinner lands on P (PR), so the probability is 1/12.

There are 6 outcomes in which the first spinner lands on R <em>or</em> the second spinner lands on P (RR, BR, PR, RY, BP, GP). So the probability is 6/12 = 1/2.

7 0

3 years ago

43. Find the equation of a line perpendicular to the y-axis passing through the point (4, 7).

iVinArrow [24]

9514 1404 393

Answer:

y = 7

Step-by-step explanation:

The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...

y = constant

In order for that line to go through a point with y-coordinate 7, the line must be ...

y = 7

6 0

3 years ago

Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.

bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0

3 years ago

Kendrick caught 22 rcinbow trout and 18

Nookie1986 [14]

Answer:

45%

Step-by-step explanation:

18+22=40

18/40=0.45

Then times it by 100 to make it a percentage

0.45x100=45%

4 0

3 years ago

What is 4th cube number

IrinaK [193]

Answer:

31, 27

Step-by-step explanation:

6 0

3 years ago