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const2013 [10]
3 years ago
9

I need help asap please

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0
Answer:

A-1
B-3
C-4
D-2
E-5

Explanation:
Schoology
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98 POINTS MATH!
patriot [66]

Let a be the length of the leg with one tick mark and b the length of the leg with two tick marks.

In the upper triangle, the law of cosines says

6^2=a^2+b^2-2ab\cos43^\circ

In the lower triangle, it says

4^2=a^2+b^2-2ab\cos(4y-5)^\circ

Subtract the second equation from the first to eliminate a^2+b^2:

6^2-4^2=-2ab(\cos43^\circ-\cos(4y-5)^\circ)

10=ab(\cos(4y-5)^\circ-\cos43^\circ)

a and b are lengths so they must both be positive. 10 is also positive, so in order to preserve the sign on both sides of this equation, we must have

\cos(4y-5)^\circ-\cos43^\circ>0

\cos(4y-5)^\circ>\cos43^\circ

Now we have to be a bit careful. If x is an acute angle, then as x gets larger, the value of \cos x gets smaller. So if we have two angles \theta and \varphi, with 0^\circ, then we would have \cos\theta>\cos\varphi.

This means in our inequality, taking the inverse cosine of both sides would reverse the inequality:

(4y-5)^\circ

We know that (4y-5)^\circ is an angle in a triangle, so it must be some positive measure:

(4y-5)^\circ>0^\circ\implies y>\dfrac54^\circ

So we must have

\dfrac54^\circ

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3 years ago
Which whole number property is represented 13 + 2 = 2 + 13
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A triangle has angle measures of 104 and 22 what is the measure of the third angle?
OverLord2011 [107]

Answer:

54 degrees.

Step-by-step explanation:

All triangles equal 180 degrees. So, 180 minus 104 minus 22 equals 54. Since you can add 54, 104, and 22 together to get 180, that means that is the correct answer.

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Factor 28x² + 48x + 20​
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4(7x+5) (x+1)

can u give me the brainiest answer

Step-by-step explanation:

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