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ryzh [129]
2 years ago
9

B, C and D are points on a circle, centre O. AB and AD are tangents to the circle. Angle BCD=x Find an expression for the size o

f angle BAD in terms of x. Give your answer in its simplest form. Give reasons for each stage of your working.
Mathematics
1 answer:
stealth61 [152]2 years ago
3 0

Answer:

where the point B lie ,first say point B where lie

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The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Kryger [21]
Let's say the first number is -a, so "a" will be some positive value, and we multiply -1 to it, we get the -a

a consecutive number from it, is either, ahead or before it, so, -a + 1 or -a -1, is a consecutive integer, hmm let's use -a + 1 then

so, the two numbers are -a and -a + 1

we know their product is 600

\bf (-a)(-a+1)=600\implies a^2-a=600
\\\\\\
\begin{array}{lcclll}
a^2&-a&-600=0\\
&\uparrow &\uparrow \\
&-25+24&-25\cdot 24
\end{array} \implies (a-25)(a+24)=0
\\\\\\

\begin{cases}
a-25=0\implies &\boxed{a=25}\\
a+24=0\implies &a=-24
\end{cases}

we use the positive one, because we're using -1 in front of the "a"

what's the lesser integer? well, what's  -a+1?  which one is lesser?
7 0
2 years ago
Read 2 more answers
april bought some sports drinks and slices of pizza for her friend. she bought 3 more sports drinks than slices of pizza. if her
statuscvo [17]

Let the number of sports drinks April bought be represented by = s

Let the pizza slices April bought be represented by = p

As she spent a total of $21.25 so equation becomes:

s+p=21.25

p+3+p=21.25

2p=18.25

p=9.125

As she bought 3 more sports drinks than pizza slices so, s = p+3

8 0
2 years ago
Read 2 more answers
An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th
Strike441 [17]
<h2>Answer with explanation:</h2>

Given : An urn contains 2 red marbles and 3 blue marbles.

Total marbles = 2+3=5

a) The general ways in which the person could get a red marble and a blue marble are :

1)  He draws red marble first and then second marble as blue.

2)  He draws blue marble first marble and then second marble as red.

b)  The number of ways to get one red and one blue marble is given by :-

^2C_1\times^3C_1=2\times3=6                          (i)

c) Number of ways to get 2 marbles from 5 is given by :-

^5C_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5\times4\times3!}{3!\times2}=10     (ii)

Now, The probability the person gets a red and a blue marble will be :-

P(R\ \&B)=\dfrac{6}{10}=0.6       [Divide (i) by (ii)]

Hence, the  probability the person gets a red and a blue marble= 0.6

5 0
2 years ago
An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate
Dvinal [7]

600t = 480(18 – t) should be it

5 0
2 years ago
Read 2 more answers
Mr. Ortiz is a driving instructor. Of his students, 23 have taken the driver's test and 17 of them have passed
adelina 88 [10]

Answer:7

Step-by-step explanation:

3 0
2 years ago
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