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creativ13 [48]
3 years ago
9

Julia lined up the interior angles of the triangle along the line below. What is the answer?

Mathematics
2 answers:
pshichka [43]3 years ago
6 0

30 degrees is your answer.

Kobotan [32]3 years ago
4 0

Answer:

Hence the measure of  A 38\degree

Step-by-step explanation:

we need to find measure of angle A of the given triangle ABC in provided figure

In provided figure

\angle A = ? ,\angle B = 30\degree \ \text{and}\ \angle C = 112\degree

Since, sum of interior angles of triangle is 180\degree

In triangle ABC

\angle A + \angle B + \angle C=180\degree

\angle A + 30\degree+112\degree=180\degree

\angle A + 142\degree=180\degree

Subtract both the sides by 142\degree

\angle A =180\degree -142\degree

\angle A =38\degree

Hence the measure of  A 38\degree

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The coefficient of -2x is<br> Blank 1:
Scorpion4ik [409]

Answer:

-2

Step-by-step explanation:

Definition of coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

8 0
3 years ago
6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP
adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = 360^{o} - 324^{o}

     = 036^{o}

Sum of angles in a triangle = 180^{o}

<P + <Q + <S = 180^{o}

048° + 036^{o} + <S = 180^{o}

84^{o} + <S = 180^{o}

<S  = 180^{o} -  84^{o}

    = 96^{o}

<S = 96^{o}

Applying the Sine rule,

\frac{y}{Sin P} = \frac{x}{Sin Q} = \frac{z}{Sin S}

\frac{y}{Sin P} = \frac{z}{Sin S}

\frac{y}{Sin 48^{o} } = \frac{17}{Sin 96^{o} }

\frac{y}{0.74314} = \frac{17}{0.99452}

⇒ y = \frac{12.63338}{0.99452}

       = 12.703

y = 12.70 km

\frac{x}{Sin Q} = \frac{z}{Sin S}

\frac{x}{Sin 36^{o} } = \frac{17}{Sin 96^{o} }

\frac{x}{0.58779} = \frac{17}{0.99452}

⇒ x = \frac{9.992430}{0.99452}

      = 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0
3 years ago
The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constr
mash [69]

Answer:

an accounts; credit or debit.

Step-by-step explanation:

Remember, accounting involves activities done to keep financial records. Interestingly, a similar term is used to refer to the basic unit in which data are stored in an accounting system called accounts.

Also, we need to bear in mind that this financial records written as storage units would include incoming or outgoing money measurements often called debit or credit transactions in the items for which they are established.

6 0
3 years ago
352, 345, 338, ...<br> Find the 43rd term.
Artemon [7]

Answer:

Step-by-step explanation:

first term = a = 352

Common difference = d = second term - first term

                                  = 345 - 352

                                   = (-7)

nth term = a + (n-1)*d

43rd term = 352 + (43-1)*(-7)

                 = 352 + 42 *(-7)

                  = 352 - 294

                  = 58

3 0
2 years ago
PLEASE HELP!! for 20 points<br> What is the area of the<br> composite figure?
belka [17]

Answer:

46

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

Large Rectangle -> 4x8=32

Tiny Rectangle at the bottom ->2x3=6

Triangle at top can be broken into two right triangles ->

(4x2)(1/2)=4

(4x2)(1/2)=4

Add: 32+6+4+4=46

4 0
2 years ago
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