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grigory [225]
3 years ago
6

In the diagram below, OP is circumscribed about quadrilateral ABCD. What is

Mathematics
1 answer:
a_sh-v [17]3 years ago
8 0
The answer is B. Hope this helps
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Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ
labwork [276]
(sec x - tan x)^2 \\  \\ = sec^2x - 2 sec x tan x + tan^2 x \\  \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\  \\ =1 - 2 sec x tan x + 2 tan^2 x \\  \\ = 1 - 2tan x(sec x - tan x) \\  \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\  \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\  \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\  \\ =1-\frac{2 sin x}{1+sin x}
3 0
3 years ago
Kala, Deandre, and Eric have a total of $119 in their wallets, Kala has $6 more than Deandre. Eric has 3 times what kala has. Ho
Tomtit [17]
Deandre = x
Kala = x + 6
Eric = 3(x+6)
x + x + 6 + 3(x+6) = 119
2x + 6 + 3x + 18 = 119
5x + 24 = 119
5x = 95, x = 19
Deandre has $19
Kala has 19 + 6 = $25
Eric has 3(25) = $75
4 0
3 years ago
Factor completely. 8y^2 - 26y + 15 (4y - 3)(2y - 5) (2y - 3)(4y - 5) 2(2y - 3)(2y - 5)
Zarrin [17]

8y^2 - 26y + 15

= (4y - 3)(2y - 5)

Hope it helps.

7 0
3 years ago
Read 2 more answers
Combine Like Terms and Eliminate Parenthesis.<br>5z-[2z-(13z+8)]
katen-ka-za [31]

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is 13z+8. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

2z-13z-8

and 2z and -13z are like terms, so we can sum them:

2z-(13z +8) = 2z-13z-8 = (2-13)z-8 = -11z-8

Finally we arrive to the whole expression, which is

5z-(-11z-8) = 5z+11z+8 = (5+11)z+8=16z+8

Because, again, 5z and 11z were like terms.

6 0
3 years ago
Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, s
snow_tiger [21]

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

3 0
3 years ago
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