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balu736 [363]
2 years ago
12

AB = AD Show that ABCD is a kite. Give a reason for each stage of your working.

Mathematics
1 answer:
djyliett [7]2 years ago
4 0
It’s a kite because angle B is equal to angle D (both 105) and it all adds up to 360 making it a quadrilateral.
I hope this helps
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Can anyone help me solve this
yawa3891 [41]

Answer:

a. $45.54; b. $51.42; c. See below

Step-by-step explanation:

a. 193 min

        Service charge = $40.00

1st 100 min @ 0.021 =      2.10

Next 93 min @0.037 = <u>    3.44 </u>

                        Total =  $45.54

b. 317 min

          Service charge = $40.00

  1st 100 min @ 0.021 =      2.10

2nd 100 min @ 0.037 =     3.70

        117 min @ 0.048 =   <u>   5.62</u>

                          Total =   $51.42

c. Piecewise function

The charge is  

  • $40.00 + 0.021t               if t ≤ 100
  • $42.10 + 0.037(t - 100)    if 100 < t ≤ 200
  • $45.80 + 0.048 (t - 200) if t > 200

which we can write like this:

f(t) =\begin{cases}40.00 + 0.021t & t \leq 100\\42.10 + 0.037(t-100) & 100 < t \leq200\\45.80 + 0.048(t-200) & t > 200\end{cases}

5 0
2 years ago
Find the value of this expression if x = -2.<br>x^2 – 8/x + 6​
xz_007 [3.2K]

Answer:

-1

Step-by-step explanation:

x^2 – 8

-----------

x + 6​

Let x = -2

(-2)^2 – 8

-----------

-2 + 6​

Exponents first

4 – 8

-----------

-2 + 6​

Then complete the numerator and denominator

-4

-----

4

Then divide

-1

5 0
3 years ago
Read 2 more answers
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Ivanshal [37]
Hello :
<span>the parabola's equation is : f(x) = a(x+3)²-1
</span><span>the coefficient of the squared expression in the parabola's equation is : a
but ; f(4) = 0
0 = a(4+3)²-1
49a-1=0.....a=1/49
f(x) = 1/49(x-3)²-2</span>
5 0
3 years ago
Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks
ad-work [718]

Answer:

Step-by-step explanation:

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3 years ago
You have a bag containing 26 tiles, each imprinted with one letter of the alphabet. If you pick out 5 tiles, what is the probabi
Alecsey [184]
For the first picking the probability of picking a is 1/26 as there is only 1 a out of the 26 letters. For the second picking there are only 25 letters and there is only 1 e out of the letters. For the succeeding picks, the probabilities are 1/24, 1/23, and 1/22. Thus, the probability is 1/7893600.
3 0
3 years ago
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