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White raven [17]
3 years ago
6

I need help please.

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Answer:

36x

Step-by-step explanation:

18x / 19 = ? / 57

(18x * 3) / (19 * 3) = ? / 57

You multiply by 3 in both the numerator and the denominator.

36x / 57 = ? / 57

After you multiply, your answer equals 36x.

? = 36x

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Describe the set of points whose distance from the y-axis equals the distance from the xz-plane. a cone opening along the x-axis
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Step-by-step explanation:

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Suppose that
Diano4ka-milaya [45]

Answer:

sin(B) = 12/13

cos(B) = 5/13

tan(B) = 12/5

csc(B) = 13/12

sec(B) = 13/5

cot(B) = 5/12

Step-by-step explanation:

If ABC is a right triangle, assuming that ∠C = 90°, then the segment AB =13 is the hypotenuse and the other two sides are:

BC = 5\\AC = \sqrt{13^2 - 5^2}\\AC = 12

The six  trigonometric functions of angle B are:

sin(B) =\frac{AC}{AB}= \frac{12}{13}\\cos(B) = \frac{BC}{AB} =\frac{5}{13}\\tan(B) = \frac{AC}{BC} =\frac{12}{5}\\\csc(B) =\frac{1}{sin(B)}= \frac{13}{12}\\sec(B) = \frac{1}{cos(B)} =\frac{13}{5}\\cot(B) = \frac{1}{tan(B)} =\frac{5}{12}\\

7 0
4 years ago
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
STALIN [3.7K]

Answer:

Therefore, the correct explanation is;

C. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since \overline {OP} ║ \overline {MN}, ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 4 and MN = 8

Step-by-step explanation:

The given parameters are;

\overline {LP} = 5

\overline {NP} = 10

\overline {OP} = x - 3

\overline {MN} = x + 1

A two column proof is presented as follows;

Statement    {}      Reason

∠L ≅ ∠L     {}        By Reflexive property of congruency

\overline {OP} ║ \overline {MN}     {}     Given

∠LOP ≅ ∠LMN {}  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN {}  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

\overline {OP}/\overline {MN}  = \overline {LP}/\overline {NP} = 5/10 = 1/2

∴ (x - 3)/(x + 1) = 1/2

2·(x - 3) = 1·(x + 1)

2·x - 6 = x + 1

2·x - x = 1 + 6 = 7

x = 7

\overline {OP} = (x - 3) = 7 - 3 = 4

\overline {OP} = 4

\overline {MN} = x + 1 = 7 + 1 = 8

\overline {MN} =  8

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since \overline {OP} ║ \overline {MN}, ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 4 and MN = 8.

6 0
3 years ago
Read 2 more answers
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