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My name is Ann [436]
3 years ago
15

Write 2 expressions that are equivalent to the given expression 4(m+3+5m)

Mathematics
2 answers:
Marrrta [24]3 years ago
6 0
Add m
4(3+6m)
12+24m
1/2=m
DaniilM [7]3 years ago
3 0
OK you can switch the 3 and 5 around and another is you can switch the 4 and 3.

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X + 24 + 4 + 63 = 180
Helen [10]

Answer:

x=89

Step-by-step explanation:

180-91=89

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3 years ago
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Simplify 7/3+3(2/3-1/3) squared
Mama L [17]
8/3 is your simplified answer
7 0
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oksian1 [2.3K]

Answer: B

Step-by-step explanation:

After adding the new data set to the median, we re-arrange in ascending order

23, 26, 26, 29, 30, 33, 40

Median is the midpoint value in the data set, therefore, median is still 29.

I hope this helps.

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two sides and an angle are given below. determine whether the given information results in one triangle, two triangles, or no tr
Verdich [7]

Answer:

  A. single triangle. C = 8.74°, A = 1.26°, a = 1.01

Step-by-step explanation:

When two sides and an angle are given, the possibility of two (or zero) triangles exists only when the given angle is opposite the shorter of the two given sides. That is not the case here, so the given measures define one unique triangle.

<h3>Law of Sines</h3>

The law of sines tells us the sides and angles have the relation ...

  sin(A)/a = sin(B)/b = sin(C)/c

We can use this first to find angle C:

  sin(C) = c/b·sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(7/8·sin(170°)) ≈ 8.7394°

  ∠C ≈ 8.74°

<h3>Remaining measures</h3>

Now that we know two angles, we can find the third:

  A = 180° -B -C = 180° -170° -8.74° = 1.26°

  ∠A = 1.26°

Using the law of sines again, we can find the measure of side 'a'.

  a = b·sin(A)/sin(B) = 8·sin(1.26°)/sin(170°) ≈ 1.01346

The measure of segment 'a' is about 1.01 units.

__

<em>Additional comment</em>

If 'a', 'b', and angle A are given, there will be zero triangles if b/a·sin(A) > 1. If b/a·sin(A) < 1 and b > a, there will be two (2) triangles. Otherwise, as here, there will be one unique triangle.

8 0
2 years ago
Two fifth of a number less than 9
Angelina_Jolie [31]

I believe the answer would be: 2/5n < 9

7 0
3 years ago
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