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scoundrel [369]
2 years ago
13

A horizontal line contains points A, C, B. 2 lines extend from point C. A line extends to point E and another line extends to po

int D. An arc represents angle A C D.
Ray CE is the angle bisector of AngleACD. Which statement about the figure must be true?

mAngleECD = One-halfmAngleECB
mAngleACE = one-halfmAngleACD
AngleACE Is-congruent-to AngleDCB
AngleECDIs-congruent-to AngleACD

Mathematics
2 answers:
Effectus [21]2 years ago
6 0

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

A, C and B are the points lying on a straight line.

2 lines EC and DC have been drawn by extending the lines from C to E and D respectively.

Ray CE is the angle bisector of ∠ACD.

That means CE divides ∠ACD in two equal parts.

m∠ACE = m∠DCE

Since m∠ACD = m∠ACE + m∠DCE

                        = 2(m∠ACE)

          m∠ACE = \frac{1}{2}(\angle ACD)

Therefore, option (2) will be the answer.

Alika [10]2 years ago
5 0

Answer:

b

Step-by-step explanation:

took test

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Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe
Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

7 0
2 years ago
The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.
ziro4ka [17]

Answer:

-2

Step-by-step explanation:

8 0
1 year ago
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I've been stuck on this for so long and I have an exam soon, anybody who can help me :'( ?
san4es73 [151]
(i)  speed = distance / time
so time =  distance / speed
here we have

time t = 1080/x  hours

(ii) return flight  time  = 1080 / (x + 30)  hours

(a)  1080/x - 1080/(x + 30) = 1/2

Multiplying  through by the LCD 2x(x + 30) we get:-

1080*2(x + 30) - 2x*1080 = x(x+30)
2160x + 64800 - 2160x = x^2 + 30x
x^2 + 30x - 64800  = 0

(b)  factoring;  -64800 = 270 * -240  ans 270-240 = 30 so we have

(x + 270)(x - 240) = 0   so x = 240  ( we ignore the negative -270)

So the speed for outward journey is 240 km/hr

(c) time ffor outward flight = 1080 / 240 =  4 1/2  hours

(d) average speed for whole flight = distance / time
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8 0
2 years ago
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is
yulyashka [42]

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

6 0
2 years ago
​ At the end of the first school day, Mr. Davies, a first grade teacher, inspected his classroom crayons. 2 of the 200 crayons w
MrRissso [65]
99% were not broken as only 1% were broken
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2 years ago
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