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Zielflug [23.3K]

3 years ago

8

Triangle abc is an isosceles triangle with segment ab congruent with segment bc, and the measure of the vertex angle b is twice

the measure of angle
a. what is the measure of angle c? a 60 b 36 c 45 d 30

1 answer:

Nikitich [7]3 years ago

4 0

See the attachment..

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Cot^2x/cscx-1=1+sinx/sinx

KATRIN_1 [288]

$\bf \textit{difference of squares}
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(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
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sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\
-------------------------------\\\\
\cfrac{cot^2(x)}{csc(x)-1}=\cfrac{1+sin(x)}{sin(x)}\impliedby \textit{let's do the left-hand-side}$

$\bf \cfrac{\quad \frac{cos^2(x)}{sin^2(x)}\quad }{\frac{1}{sin(x)}-1}\implies \cfrac{\quad \frac{cos^2(x)}{sin^2(x)}\quad }{\frac{1-sin(x)}{sin(x)}}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{sin(x)}{1-sin(x)}
\\\\\\
\cfrac{cos^2(x)}{sin(x)}\cdot \cfrac{1}{1-sin(x)}\implies \cfrac{cos^2(x)}{sin(x)[1-sin(x)]}$

$\bf \cfrac{1-sin^2(x)}{sin(x)[1-sin(x)]}\implies \cfrac{1^2-sin^2(x)}{sin(x)[1-sin(x)]}
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\cfrac{\underline{[1-sin(x)]}~[1+sin(x)]}{sin(x)\underline{[1-sin(x)]}}\implies \cfrac{1+sin(x)}{sin(x)}$

5 0

3 years ago

Which expression is equivalent to the following complex fraction?<br>1-1/x/2<br>

pishuonlain [190]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>att</em><em>ached</em><em> </em><em>picture</em>

<em>hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>

7 0

3 years ago

Read 2 more answers

Perform the modular arithmetic. (7 · 15) (mod 4)

Reika [66]

We could do it by first writing

$7\cdot15=(4+3)\cdot(4+11)=4^2+14\cdot4+33$

so that

$7\cdot15\equiv4^2+14\cdot4+33\equiv33\pmod4$

and since $33=32+1=8\cdot4+1$ , we have

$7\cdot15\equiv33\equiv1\pmod4$

# # #

Alternatively, we can just compute the product and take it mod 4:

$7\cdot15=105=104+1=26\cdot4+1$

and so we get the same result of 1.

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3 years ago

Solve -x^2+5x=7 using quadratic formula

musickatia [10]

3x-x+2=4 thats the answer

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3 years ago

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A car travels at 65 miles per hour. Going through construction, it travels at 3/5 this speed. Write this fraction as a decimal a

sukhopar [10]

(65 mph)(3/5)

(65/5)*3

13*3

39 mph

3 0

3 years ago