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Rasek [7]
2 years ago
15

42 points! Plus a crown if you are right!! PLEASEE HELPP D:

Mathematics
2 answers:
Verdich [7]2 years ago
6 0

Answer:

x = 9

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Here the exterior angles has a measure of 10x + 58° while its opposite interior angles have measures of 6x + 56° and 38°

If an exterior angle of a triangle is equal to the sum of the opposite interior angles then 10x + 58 = 6x + 56 + 38  

we now solve for x

10x + 58 = 6x + 56 + 38  

==> combine like terms

10x + 58 = 6x + 94

==> subtract 58 from both sides

10x = 6x + 36

==> subtract 6x from both sides

4x = 36

==> divide both sides by 4

x = 9

and we are done! :)

Vesna [10]2 years ago
5 0

Answer:

x = 9

Step-by-step explanation:

The sum of all the interior angles of a triangle = 180 degrees

one of the angles of the triangle's interior is blank, so to find it we can subtract the exterior angle measure next to it from 180 degrees (a straight line)

38 + (6x + 56) + (180 - (10x + 58)) = 180

Now, we can do our best to simplify and combine like terms:

[38 + 56 + (180 - 58)] + [6x - 10x] = 180

216 - 4x = 180

Now we can subtract 180 from both sides...

36 - 4x = 0

And then add 4x to both sides...

36 = 4x

Now we've manged to isolate x, all that's left is to divide both sides by 4

9 = x

Or

x = 9

Hope this explanation helped! Feel free to ask questions if anything didn't fully make sense!

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Find the requested function and state domain. <br>Find f·g, for f(x)=1/x-5 and g(x)= 7/x
Flura [38]
We have the following functions:
 f (x) = 1 / (x-5)
 g (x) = 7 / x
 Multiplying the functions we have:
 f · g = (1 / (x-5)) * (7 / x)
 Rewriting:
 f · g = (7 / x (x-5))
 f · g = (7 / (x ^ 2-5x))
 The domain of the function is:
 All reals less:
 x = 0
 x = 5
 Answer:
 
f · g = (7 / (x ^ 2-5x))
 
The domain of the function is:
 
All reals less:
 
x = 0
 
x = 5
6 0
3 years ago
Vector V is shown in the graph below.
Lady_Fox [76]

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

8 0
3 years ago
Read 2 more answers
Assume u4 is not a linear combination of {u1,u2,u3}
Feliz [49]

Answer:

A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.

Step-by-step explanation:

Given that u4 is not a linear combination of {u1,u2,u3}

This means there is no possibility to write u4 = au1+bu2+cu3 for three scalars a,b,and c.

This gives that u_4-au_1-bu_2-cu_3 \neq 0

This implies that these four vectors are not linearly dependent but linearly independent.

Hence option a is right.

A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.

8 0
3 years ago
A wooden jewelry box has the shape of a prism with a regular hexagonal base of 85.3 in2. The sides of the hexagonal base are all
Anna35 [415]

Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

Perimeter of base = 34.38 in

Height = 18.10 in

Base area is already given as 85.3 in²

Surface area of the hexagonal prism box = (34.38*18.10) + 2(85.3)

= 622.278 + 170.6 = 792.878 in^2

<em>Surface area of the wood used in making the jewelry box ≈ 792.9 in²</em>

3 0
3 years ago
Between what two consecutive integers does the square root of 155 lie?
strojnjashka [21]
We have to find what consecutive integers does the square root of 115 lie. 
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√115 ≈ 10.7238
Answer:
The square root of 115 lies between <span>C ) 10 and 1</span>1
3 0
3 years ago
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