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tigry1 [53]
1 year ago
5

50 POINTS! I’d really like someone to help me out with the answer, I’ve been having a lot of trouble. I’d like and explanation a

s well and I’ll give brainliest if provided!

Mathematics
1 answer:
iogann1982 [59]1 year ago
8 0

The solution to the matrix equation is x = 2.6

<h3>What is the solution?</h3>

Following the matrix as given, all the elements in the right hand side would have to be multiplied by X hence we have;

-x   4x            -8    17

6x  3x     =      21   -21

Taking the determinant of both matrices;

-3x^2 - 24x^2 = 168 - 357

-27x^2 = -189

x^2 = -189/-27

x = 2.6

Learn more about matrices:brainly.com/question/11367104

#SPJ1

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Kaylis [27]
The three angles of an acute angle is C.
8 0
3 years ago
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An algebra class normally has y students, but today it is just 2/3 full. Express the number of students in class today terms of
sertanlavr [38]

Answer:

2/3y

Step-by-step explanation:

If the class usually has y students and has 2/3 today, it can be represented by 2/3y.

Since multiplying a number or variable by 2/3 makes it 2/3 of the amount, 2/3y will represent the people in the class.

So, in terms of y, 2/3y represents the number of students in class today.

3 0
3 years ago
Which group contains triangles that are all similar?
torisob [31]

Answer:

Triangles represented by option B are similar triangles.

Step-by-step explanation:

Please find the attachment.

We have been given 4 group of triangles and we are asked to find which group contains similar triangles.

A. We can see from our diagram that triangles provided in option A are not similar.

The first triangle is an isosceles right triangle as it has 2 angles each having measure 45 degrees. By angle sum property the measure of 3rd angle will be:

180^o-(45^o+45^o)=180^o-90^o=90^o

The second triangle is an equilateral triangle as all the sides equal to 7 units, so all angles will be equal to 60 degrees.

The 3rd triangle is an isosceles triangle as  it has 2 angles each having measure 53 degrees. By angle sum property the measure of 3rd angle will be:

180^o-(53^o+53^o)=180^o-106^o=74^o

We can see that none of the triangles have same angle measures, therefore, option A is not a correct choice.

B. The triangles provided in option B are similar triangles as each triangle have one right angle and they are sharing the same vertex.

Let us assume that the common vertex has x degrees angle, then by angle sum property the measure of 3rd angle in each triangle will be 180-90-x=90-x degrees. Therefore, the triangles provided in option B are similar triangles by AAA similarity theorem.

C. The triangles provided in option C are not similar triangles as we are not told that the given lines are parallel or not. In addition the bottom figure is a quadrilateral as it has 4 angles, Therefore, the given triangles are not similar triangles.

D. We can see that our given triangles have vertical angles, so their measure will be 32 degrees. Since the given side lengths are different, therefore, this group of triangles is not similar.

5 0
3 years ago
Read 2 more answers
What is the answer??
AVprozaik [17]

Answer:

HK = 20

Step-by-step explanation:

LM = (1/2) HK          {Mid point theorem}

10x - 90 = \frac{1}{2}(10x - 80) \\

2*(10x - 90) = 10x - 80

2*10x - 2*90 = 10x - 80

20x - 180     = 10x - 80                   {add 180 to both sides}

           20x  = 10x - 80 + 180

          20x  = 10x +100              {Subtract 10x from both sides from }

     20x -10x = 100

            10x  = 100

                x = 100/10

               x = 10

HK = 10x - 80

     = 10*10 - 80

     = 100 - 80

     = 20

5 0
3 years ago
Given the figure below, find the values of x and z.
N76 [4]

Answer:

x=9

z=73

Step-by-step explanation:

Angle 107 and 8x+35 are vertical angles, so they are equal

107 = 8x+35

Subtract 35 from each side

107-35 = 8x+35

72 = 8x

Divide by 8

72/8 = 8x/8

9 =x

We also know that 107 and z are supplementary angles since they form a straight line.  This means they add to 180 degrees

107+z = 180

Subtract 107 from each side

107-107+z=180-107

z =73

5 0
3 years ago
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