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Lesechka [4]
3 years ago
6

Line d has a slope of –7 4 . Line e is perpendicular to d . What is the slope of line e ? Simplify your answer and write it as a

proper fraction, improper fraction, or integer.
Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

4/7

Step-by-step explanation:

If the slope of line d is -7/4, then the slope of a perpendicular is 4/7.

Given a slope, to find the slope of a perpendicular, flip the fraction and change the sign.

Flip -7/4 to get -4/7. Then change the sign of -4/7 to get 4/7.

Answer: 4/7

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Each term is the sum of the consecutive numbers from 1 to that number.

<u>The nth term is the sum of the first n numbers:</u>

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Solve for x please thanks
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x = 9

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Help me with my math quiz from friday 4/1 <br> SHOW STEPS
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Hie!! I will be solving the questions in the sequence of the attachments.

_______________________________________

4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

\rightarrow\sf{7x - 4=87}

\rightarrow\sf{7x =87+4}

\rightarrow\sf{7x =91}

\rightarrow\sf{x =\frac{91}{7}}

\rightarrow\boxed{\bf{x =13}}

_______________________________________

5. radius = 17ft

circumference of circle = 2πr

\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}

\rightarrow\boxed{\bf{circumference=106.8ft}}

_______________________________________

3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

_______________________________________

2. 160° + (6x - 16)° = 180° (linear pair)

\rightarrow\sf{6x - 16 = 180-160}

\rightarrow\sf{6x - 16 = 20}

\rightarrow\sf{6x = 20+16}

\rightarrow\sf{6x =36}

\rightarrow\sf{x =\frac{36}{6}}

\rightarrow\boxed{\bf{x =6}}

8 0
2 years ago
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