The ratio of the angles in a quadrilateral are 7:4:5:2. What is the smallest angle?

Answer:

  x = 2√13

Step-by-step explanation:

The geometric mean relationships in this geometry tell you that x is the geometric mean of the short segment of the hypotenuse (4) and the entire hypotenuse (13).

  x = √(4·13)

  x = 2√13

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Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

----------------------

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

----------------------------

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

Refer the attachment please

Hope it helps

Best of luck

Answer:

21

Step-by-step explanation:

1) Simplify 1 + 2 to 3.

1 + 2 + 3 ×  ( 3 + 3 )

2) Simplify 3 + 3 to 6.

1 + 2 + 3 × 6

3) Simplify 3 × 6 to 18.

1 + 2 + 18

4) Simplify 1 + 2 to 3.

3 + 18

5) Simplify.

21

Answer:

True

Step-by-step explanation: I gotchu friend

Answer:

120 minutes

Step-by-step explanation:

find the LCM

first find the GCF using prime factorization

15=3*5 12=2*2*3 10=2*5

GCF is 5 and 2 respectively

remove from each and multiply

3*2*2*2*5=120

Answer:

0

Step-by-step explanation:

-5/6 - (-5/6)

Negative times a negative is a possitive

-5/6 + 5/6

0

Hopes this answers your question. :)

Answer: 0

Step-by-step explanation:

-5/6 - -5/6 =

-5/6 + 5/6 =

-5 + 5

   6

= 0/6

=0

Answer:

option (2) and (5) is correct.

2) This equation has no solution.

5) Any input value for the variable will generate a false equation.

Step-by-step explanation:

Given a solution to the equation,

-6( x + 5) + 3 = -2( x + 4) - 4x

⇒  –6x – 30 + 3 = –2x – 8 – 4x

⇒ –6x – 27 = –6x – 8

⇒  –27 = – 8

Which is false statement as -27 is never equal to -8.

Thus, This equation has no solution.

Also, if we substitute any value of x , then also the equality never hold.

For example lets put x = 1 in  -6( x + 5) + 3 = -2( x + 4) - 4x , we get,

⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)

⇒ -6( 6) + 3 = -2(5) - 4

⇒ -36 + 3 = -10 - 4

⇒ -33 = -14

Still the value is false as -33 is never equal to -14.

Any input value for the variable will generate a false equation.

Thus, option (2) and (5) is correct.

Answer:

y2-y1 over x2-x1, typically the second or set of the higher numbers would be #2 so im taking 0,11 as #2

Step-by-step explanation:

7 i believe

Answer:

y2-y1/x2-x1

11-4/1-0

7/1

slope = 7

Answer:

77

Step-by-step explanation:

Hope this helps..

Good luck.

Answer:

5/12

Step-by-step explanation:

1/2 × 5/6 = 5/12

Step-by-step explanation:

can you write it in english

Answer:

The balance in Mary's account at the end of the month is $14.09

Step-by-step explanation:

Step 1: 50+25.62=75.62

Step 2: 75.62+19.76=95.38

Step 3: 95.38-56.29=39.09

Step 4: 39.09-25= $14.09

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

Work Shown:

[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).

Answer:

2y+x+9=0

Step-by-step explanation:

eqn is given by

[tex]m = \frac{y - y1}{x - x1} [/tex]

given

[tex] - \frac{1}{2} \: as \: m[/tex]

and

[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]

subtitute values into the formula

[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]

cross multiply giving

[tex] - 1{x - 3}= 2{y + 6[/tex]

[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]

Step-by-step explanation:

3x-28=2x-9

3x-2x=28-9

x=19°

For angle FGH = 2x-9° = 38°-9° = 29°.

For angle HGI = 3x-28° = 57°-28° = 29°.

For angle FGI = 29°+29° = 58°.

hope this helps you.

Answer:

-5 and 2

-2 and -1

-3 and 0

There is no shortcut to solving this type of problem. You just have to use trial and error.

:)

Answer:

-2+ (-3)

-5+ 0

-1+ (-2)+ (-2)

Hope this helps!

LMK if it does

Explanation:

Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.

To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.

To go from A to D, we do the following steps

Cut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.

To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.

Everything is marked in the diagram below.

Answer:

Step-by-step explanation:

D

Step-by-step explanation:

according to me option A 2 or 5

Answer:

g = 30 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is

g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )

g = [tex]\sqrt{900}[/tex] = 30

point A will represent the input-output values of the function.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

In the graph of y = f(x),

For every x-value (input value), value of the function is the y-value (output value).

For the input value x = 2,

Output value of the function will be,

y = f(2)

Therefore, point A will represent the input-output values of the function.

check and know more about function here :

https://brainly.com/question/12431044

#SPJ2

Answer:

Step-by-step explanation:

Using the Base Angles Theorem to define the terms relating to an isoceles triangle:

An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle.  The side that is opposite to the vertex angle is the base of the triangle.

Therefore, the following are the missing terms in the given problem:

Answer:

number 5

Step-by-step explanation:

an equal sign means "is not equal to"

Answer:

B

Step-by-step explanation:

You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.

Answer:

252

Step-by-step explanation:

If Francis baked 42 cookies, that means ben backed 252, because you can add 42 plus 42 plus 42 blah blah blah 6 times, and it gets  you 252. Or you can just do 42 times 6.

=》The answer is -61/3 = -20.333

Steps are in the attachment.

Note :-

=》The LCM is 3.

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Hope it helps ⚜ :))