All categories

2 years ago

Can someone please helppp will give you lots of points and brainliest

Mathematics

2 answers:

harkovskaia [24]2 years ago

8 0

4. SOLVE FOR X:

Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.

67 = 12x - 5

67 + 5 = 12x - 5 + 5

72/12 = 12x/12

6 = x

x = 6

SOLVE FOR Y:

Using the Vertical Angles theorem, we know that angle y must be congruent to the 67 degree angle.

y = 67 degrees.

5. SOLVE FOR Y:

Alternate exterior angles: 6(x - 12) = 120

6x - 72 + 72 = 120 + 72

6x/6 = 192/6

x = 32

SOLVE FOR Y:

6((32) - 12) + y = 180

192 - 72 + y = 180

120 + y - 120 = 180 - 120

y = 60

dimaraw [331]2 years ago

8 0

Answer: use a math website it should help, have a great day

Step-by-step explanation:

You might be interested in

What is mѕТ?<br> ооо<br> 0100°<br> o 108°<br> o 130°<br> 0 160°

lara [203]

Answer:

most is 160 hope I helped

8 0

2 years ago

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?

QveST [7]

Answer:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Step-by-step explanation:

5 0

2 years ago

Please help! Im so dumb (　-̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥᷄ ω-̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥̥᷅ )

klio [65]

ANSWER:

For the first picture, it is the first answer. This is because of the Exterior Angle Theorem.

For the second picture, use the Exterior Angle Theorem again, but this time, solve for x.

$132 = x + (3x-24)\\132 = 4x - 24\\156=4x\\x=39$

The m∡B = 39°

3 0

2 years ago

Integral of 17/(x^3-125)

daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0

2 years ago

Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1

Nutka1998 [239]

<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

When <em>decrease</em>: (1 - p)m
When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

$15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68$

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

$68+7=75$

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

$12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84$

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0

2 years ago