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Serjik [45]
3 years ago
13

What is the measure of angle A?

Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

78

Step-by-step explanation:

in a quadrilateral that's inscribed in a circle, opposite angles are supplementary.

102+78=180

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On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime
Tresset [83]

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y ⇒ last answer

Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

   (x + h , y), if translated h units to the left, then its image is (x - h , y)

3. If point (x , y) is translated k units up, then its image is (x , y + k),

   if translated k units down, then its image is (x , y - k)

∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

   magnitude of x-coordinates of Δ BCD and opposite signs

∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

   by 5

∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

  and 5 units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more:

You can learn more about reflection in brainly.com/question/11203617

#LearnwithBrainly

3 0
2 years ago
Read 2 more answers
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532
valina [46]

What are u asking to be solved

8 0
3 years ago
If anybody know this plz HELP
erica [24]

Answer:

no I think not I have study it at 1 year ago

7 0
3 years ago
If p+q has the value that is exactly 1/3 less than p what is the value of q
solmaris [256]

Answer:

q = - \frac{1}{3} p

Step-by-step explanation:

\frac{1}{3} less than p = \frac{2}{3} p

Thus

p + q = \frac{2}{3} p ( multiply through by 3 to clear the fraction )

3p + 3q = 2p ( subtract 3p from both sides )

3q = - p ( divide both sides by 3 )

q = - \frac{1}{3} p

8 0
3 years ago
Seth traveled one mile in 57.1 seconds. About how fast does Seth travel in miles per hour?
ZanzabumX [31]
<span>Since we need to convert “miles per second” to “miles per hour,”  we first need to find out how many seconds there are in a hour.
We know that there are 60 seconds in a minute, and if we wanted to do an hour we would have to do 60 * 60 which is 3600 seconds, therefore, 
</span>1 mi/57.1 sec = (1 mi/ 57.1 sec)(3600 sec/1 hour)

                        = (3600/57.1) mi/hours

<span>                        = 63.047 mi/hours</span>
5 0
3 years ago
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