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sladkih [1.3K]
3 years ago
14

I need help finding x please?

Mathematics
2 answers:
Art [367]3 years ago
5 0
If we create a circle around the line it will equal 360. Half of the circle must equal 180. For the straight line we have 125 and 30. To get 180 we need a certain number. 180-155=25. The number that we are searching for is 25.
enot [183]3 years ago
3 0

\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}

The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\green{x\:=\: 25° }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}

➪ 125° + x + 30° = 180°

➪ x + 155° = 180°

➪ x = 180° - 155°

➪ x = 25°

Therefore, the value of x is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}

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An equilateral triangle has a perimeter of 48 cm. What is the area?
KiRa [710]

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

6 0
3 years ago
What is the gcf of 3/7 and 4/9?
LiRa [457]

Answer:

  1/63

Step-by-step explanation:

There are a couple of ways to do this.

<h3>1) </h3>

Look for the GCF of the numerators when a common denominator is used.

  GCF(3/7, 4/9) = GCF(27/63, 28/63) = (1/63)·GCF(27, 28)

  GCF(3/7, 4/9) = 1/63

__

<h3>2) </h3>

Use Euclid's algorithm. If the remainder from division of the larger by the smaller is zero, then the smaller is the GCF; otherwise, the remainder replaces the larger, and the algorithm repeats.

  (4/9)/(3/7) = 1 remainder 1/63*

  (3/7)/(1/63) = 27 remainder 0

The GCF is 1/63.

__

* The quotient is 28/27 = 1 +1/27 = 1 +(1/27)(3/7)/(3/7) = 1 +(1/63)/(3/7) or 1 with a remainder of 1/63.

_____

<em>Additional comment</em>

3/7 = (1/63) × 27

4/9 = (1/63) × 28

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3 years ago
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Diano4ka-milaya [45]
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AngNPQ=2*angNRQ=120
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4.6 x 10^3 in standard form
serg [7]

Answer:

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Step-by-step explanation:

Standard Form: 4.6

6 0
3 years ago
What is 4,000+100+80+5 in word form?​
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Answer:

Step-by-step explanation:

it is four thousand one hundred eighty five

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