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Monica [59]
3 years ago
8

In the diagram, DEC is a

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Step-by-step explanation:

This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)

Others reason why Why?

Line m is perpendicular to Line c.

B and E are equidistant from c that BC=CE.

Why the others are wrong.

While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.

A translation doesnt occur about a line.

A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.

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Find the x-intercept of parabola with vertex (1,-17) and y-intercept (0,16)?
Ad libitum [116K]
Y=a(x-1)^2 -17 is the equation of the parabola.
at (0,16), 16=a(0-1)^2 -17.  Solve for a = 33.
Equation is then y=33(x-1)^2-17 so when y=0,
(x-1)^2 = 17/33
x-1 = + and - square root of 17/33
x = 1.7177 and 0,2823 as the intercepts
5 0
3 years ago
What is the slope of a line given the points (4,-2) and (6, 5)?
Ksenya-84 [330]

Answer:

3 1/2

Step-by-step explanation:

5--2=7

6-4=2

7/2= 3 1/2

5 0
2 years ago
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to
goblinko [34]

Answer:

$151.88 costs to Dan algebraic form

$245/2 = $122.50+20+15 = 157.5 is the answer though.

Step-by-step explanation:

35x+20(x-1)

35x + (20x -1)

35x +20x -1

35x -20x-20

x= 53/11

53/11 = 4.81

4.81 x 20 = $96.20 on chairs

4.81 x 15 = 72.15 on umbrella

96+72 = 168.35

245-168.35 = 76.65

76.65 + 20 = 96.65

Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20

Added together his costs out of 245 was $104.37+ 76.65 = $181.20

Costs of umbrella = 76.65/2 = 39.325

181.20 -29.325=151.87 rounded up to 151.87

As x = 53/11 the decimal of this is 4.81 = x

6 0
2 years ago
Cora makes a scarf with cloth rectangles and triangles. For every 5 pieces of cloth, 2 are rectangles. She needs 15 pieces of cl
PtichkaEL [24]

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

For every 5 pieces of cloth, 2 are rectangles

So, remaining piece will be of triangle so,

5-2=3

3 are triangles.

Ratio of rectangles to triangles is 2:3.

Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

\frac{2}{5}\times 15\\\\=2\times 3\\\\=6

Number of triangles is needed is given by

\frac{3}{5}\times 15\\\\=3\times 3\\\\=9

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

6 0
3 years ago
The tennis club where you play tennis charges $50.00 per month and $10.00 per hour of court time. If your current month's bill i
anyanavicka [17]

Answer:

Option B. 5 hours

Step-by-step explanation:

The tennis club charges monthly fees = $50.00

and per hour charges of court time = $10.00

Lets assume you play number of hours in a month = x hr

So, per hour charges would be = $10x

Total payment = monthly charges + charges of played hours

$100.00 = $50.00 + 10x

10x = 100 - 50

10x = 50

x = 5

Option B. You used 5 hours court time.

7 0
2 years ago
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