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3 years ago

Help solving for ask

Mathematics

2 answers:

Nataliya [291]3 years ago

8 0

<span>Sum of Interior Angles = 900

x = 900 - (121 + 105 + 172 + 98+155 + 133)
x = 900 - 784
x = 116</span>

frosja888 [35]3 years ago

4 0

I did the math and what i got was x=116

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In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

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3 years ago

I NEED THE SLOPE INTERCEPT FORM!!! ITS DUE BY 12

Mice21 [21]

Answer: y = 4x -1

Step-by-step explanation:

Given by the graph.

Y axis

and rise over run.

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3 years ago

Assume that y varies directly with x. If y=2/5 when x=1/3, find y when x=1/4. Enter in any fractions using a / (e.g. "1/2" is th

Oxana [17]

x=3/15 thus y=6/15 If x=1/4 then y =2/4

7 0

3 years ago

What is the recursive formula for this sequence? 24,20,16,12

kirza4 [7]

Answer:

28 - 4n

Step-by-step explanation:

What is the recursive formula for this sequence? 24,20,16,12

the sequence first term is 24

a= 24

Common difference (d) = T2 - T1 = T3 - T2

d = 20-24 = 16 -20

d = -4

Formula for nth term

Tn = a + (n-1)d

Tn = 24 + (n -1)-4

Tn = 24 -4n + 4

Tn = 28 - 4n

= 28 - 4n

I hope this was helpful, please mark as brainliest

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4 years ago

Which equation represents the data shown in the table below?

spin [16.1K]

Answer:

B. y = x +3

Step-by-step explanation:

The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.

<h3>Substitution</h3>

Using the first line in the table, (x, y) = (2, 5), we have ...

A 5 = 2(2) . . . . false

B 5 = 2 +3 . . . . true

C 5 = 3(2) . . . . false

D 5 = 2 +1 . . . . false

<em>Additional comment</em>

Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.

8 0

1 year ago