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Tpy6a [65]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

x= 37.5°

Step-by-step explanation:

∠CBD

= 180° -75° (adj. ∠s on a str. line)

= 105°

∠BCD= ∠BDC (base ∠s of isos. △BCD)

∠BCD= x

∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)

x +x +105°= 180°

2x= 180° -105°

2x= 75°

x= 37.5°

<u>Alternative</u><u> </u><u>working</u><u>:</u>

∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)

∠BDA= 52.5°

∠BDA +∠BDC= 90°

52.5° +x= 90°

x= 90° -52.5°

x= 37.5°

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victus00 [196]

Answer:

a=17\sqrt{2}

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: a^2+b^2=c^2

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}

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3 years ago
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Answer:

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Step-by-step explanation:

I hope this helps,

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2 years ago
During each minute of a comedy show, Carlin laughs 5 times. Carlin watches 3 comedy shows every day, and each show is 40 minutes
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Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

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