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Jobisdone [24]
3 years ago
8

Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.

Mathematics
2 answers:
8_murik_8 [283]3 years ago
6 0

Answer:

X= 32 Y= 35

Step-by-step explanation:

We know FOB is parralel to AOE meaning x= 32

also, COH = 90 so GOD is also 90.

a straight angle is 180, so

23+90+x or 32= 145,

180-145=35,

y=35

castortr0y [4]3 years ago
4 0

Answer:

X=32

Y=35

Step-by-step explanation:

We know x is 32 because FOB is parrallel to AOE.

We also know that DOG is 90 because COH is 90, and parallel to DOG

So, we can do:

90 + 23 + 32 =145

180-145=35, which is Y

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6 0
3 years ago
What is one possible solution for the triangle below?
elixir [45]
Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

\frac{sinZ}{43} = \frac{sin68}{40}

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°


3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

\frac{x}{sin(26.64)} = \frac{40}{sin(68)}

From which: x = 40 × sin(26.64°) /  sin(68°) = 19.34 in

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segment YZ ≈ 19.4 in
angle X ≈ 85.3°
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5 0
3 years ago
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3 years ago
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Eight less than fout times a number is less than 56. what are the possible values of that number ​
Arada [10]

Answer:

x<16

Step-by-step explanation:

number<em> n </em>

eight less than four times a number ... 4 x <em>n</em> - 8

is less than 56 ... < 56

4 x <em>n</em> - 8 < 56

4 x <em>n</em> < 56 + 8

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3 0
3 years ago
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Please need help!!!<br> Find the x
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