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Answer:

168

Step-by-step explanation:

- first we need to find the third angle of the triangle, and since 180 is the sum of all angles, 180 - 90 - 78 = 12

- 12 is the interior angle at point 1, the exterior angle is 180 - 12 = 168

(here we use 180 because its a straight line)

The measure of  21 (exterior to the triangle) is 168 degrees.

The calculation is as follows:

= 180 - 90 -78

= 12

= 180 - 12

= 168

Therefore we can conclude that the measure of  21 (exterior to the triangle) is 168 degrees.

Learn more: brainly.com/question/11707949

Answer:

-3x+1y=-1

or

3x-1y=1

or

by multiplying with 1/3 the first equation we get

-1x+1/3y=-1/3

or from second equation

1x-1/3y=1/3

Step-by-step explanation:

y-y1=m(x-x1)

y1=-7

x1=-2

m=3

so

y-(-7)=3(x-(-2))

y+7=3(x+2)

y+7=3x+6

-3x+y=6-7

-3x+ 1y= -1

Answer:

The volume of the tetrahedron is

[tex]\frac{-32}{3}[/tex]

Step-by-step explanation:

To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).

We know by definition that the volume of a tetrahedron with vertices [tex](x_{1}, y_{1}, z_{1}), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3})[/tex] is

[tex]\frac{1}{6}\begin{vmatrix}

2 & 0 & 0 & 1\\

0 & 4 & 0 & 1\\

0 & 0 & 4 & 1\\

2 & 4 & 4 & 1

\end{vmatrix}[/tex]

From here we have:

[tex]\frac{1}{6}\begin{vmatrix}

x_1 & y_1 & z_1 & 1\\

x_2 & y_2 & y_2 & 1\\

x_3 & y_3 & z_3 & 1\\

x_4 & y_4 & y_4 & 1

\end{vmatrix}[/tex]

Finding the determinant of that matrix we have:

[tex]\frac{1}{6} (-64)[/tex] = [tex]\frac{-32}{3}[/tex]

Answer:

x = [tex]1,\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]4|4x-3|-8=-4\\[/tex]

Add 8 to both sides;

4|4x - 3| = 4               4|4x - 3| = -4

Divide both sides by 4;

4x - 3 = 1                   4x - 3 = -1

Add 3 to both sides;

4x = 4                       4x = 2

Divide both sides by 4;

x = 1             x = [tex]\frac{1}{2}[/tex]

Answer:

2 apples

Step-by-step explanation:

I hope this helps!

Answer: -5<-8

Step-by-step explanation:

Answer:

the GCF is 4

Step-by-step explanation:

GCF is the greatest factor that acers in both

80 = 10 x 8 or 20 x 4

28 = 7 x 4

Answer:

Step-by-step explanation:

24 miles / x minutes = 6 miles / 30 minutes

or

24 / 6 is 4 and 4 * 30 minutes = 120 minutes or 2 hours

Answer:

6 hours

Step-by-step explanation:

it will take 6 hours to ski

Answer:

x = 59/4

Step-by-step explanation:

4x + 9 = 68

Subtract 9 from both sides.

4x + 9 - 9 = 68 - 9

4x = 59

Divide both sides by 4.

4x/4 = 59/4

x = 59/4

Answer:

X=0.75

Step-by-step explanation:

Step 1:

68-9=59

Step 2:

59 divided by 4= 14.75

Step 3:

0.75=3/4

14 3/4=14.75

Solution:

X=0.75

Another way is 59/4=14.75

Answer:

im preety sure its c

Step-by-step explanation:

Answer:

A. parallel

Step-by-step explanation:

solve for y

2y= -5x+14

and

y = -5x + 9

they have the same slope, parallel lines have the same slope.

Answer:

Check below for step-by-step guide.

Step-by-step explanation:

a) Recall the formula for area is length times width. You are given both of those values. Width= (5x+2) and length = (4x-1). All you have to do is multiply them. You will get a quadratic!

b) This is just basically a lot of plugging in to the equation: Volume= length x width x height. So let's look at what we have!

It says our volume is 20x^3 + 63x^2+ 7x-6

It says our width is : (5x+2)

It says out length is (4x-1).

So the volume = l x w x h , we just plug in those numbers I listed above :

20x^3 + 63x^2+ 7x-6= (4x-1) (5x+2) (height)

Now remember you already multiplied length times width in problem (a). You can use that expanded quadratic on the right side. Then subtract values and isolate height!

You asked for an explanation of what to do step by step, so if you actually need help solving it, comment please! :)

Answer:

IT is D!

Step-by-step explanation:

Hope this helps!!! ;) <3

Answer:

it is the last one.

all you have to do is match the graph and the charts

hope this helps :)

Answer:

31.241

Step-by-step explanation:

x = 6t + 5,   y = 7 − 5t            −1 ≤ t ≤ 3

dx/dt = 6

dy/dt = -5

The arc length of the curve can be calculated below as

L = ∫[tex]\sqrt{(\frac{dx}{dt} )^2 + (\frac{dy}{dt})^2 dt }[/tex]

 = [tex]\int\limits^3_ {-1} \, \sqrt{36 + 25 dt}[/tex]

 = [tex]\sqrt{61} \int\limits^3_ {-1} \, dt[/tex]

 = [tex]\sqrt{61} [3-(-1)][/tex]

= 4[tex]\sqrt{61}[/tex]  = 31.241

Answer:

a > - 21.33

or

a > -21 1/3

Step-by-step explanation:

3/4a > -16

a > -16*4/3

a > - 64/3

a > - 21.33

or

a > -21 1/3

Answer:

yes

Step-by-step explanation:

Answer:

Did you even upload a photo or an I trippin?

Answer:

the answer is 0

Step-by-step explanation:

do the distributive property  and combine like terms

Answer:

$4.50

Step-by-step explanation:

$6.75 divided by 1.5 equals $4.50

The price per pound of beef Mrs.Kearns bought is $4.5 per pound.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Mrs.Kearns bought 1.5 pounds of ground beef from Kroger and

she paid a total of $6.75.

Therefore, The cost of per pound can be obtained by dividing the total amount by the total pounds of beef which is,

= 6.75/1.5.

= $4.5 per pound.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

Size of V = 95°

Step-by-step explanation:

The total sum of angles in a triangle is 180°

You can find Angles T and V.

2x+3x+5 = 180°-25°

5x+5 = 155°

5x = 155°-5

    = 150°

x = 150°÷5

  = 30°

Angle V = 3×30°+5

             = 95°

Answer:

3/5 represents the number of days he has been out of town in the past 30 days.

Step-by-step explanation:

I hope this helps I took the quiz and got it right.

Answer:

Hey buddy, here is your answer. Hope it helps u

Step-by-step explanation:

The answer is b-10. The area of rhombus is 1/2*d1*d2. So 1/2*4*5=10. D stands for diameter.

Answer:10

Step-by-step explanation:

$231,000.

We have been given that a 2,100 square foot home in Cheyenne Wyoming costs $110 per square feet.

To find the total cost of home we will multiply the total area of home by the cost of per square feet area.

2,100 × 110 = 231,000$

Answer:

b  and  d

Step-by-step explanation:

yup ‼️

Answer:

2,4     3,6

Step-by-step explanation:

its correct

Answer:

First number: 20

Second number: 30

Step-by-step explanation:

First#:   x

Second#:   y

Constraints:

   x + y = 50      

   1/4x + 2/3y = 25

Isolate variable y:

   x + y = 50    

  -1/4 (x + y = 50 )

 -1/4x - 1/4y = -12.5

  Add equations the two equations to eliminate x:

    -1/4x - 1/4y = -12.5

     1/4x + 2/3y = 25

  _________________

       5/12y = 12.5

           5y = 150

              y = 30

Substitution to find x:

       x + y = 50  

       x + 30 = 50

              x = 20

Answer:

thank you i will make sure to<3

Answer:

Your a legend

Have a nice day!

Answer:

27 miles

Step-by-step explanation:

1cm is 6 miles,

4.5cm is ?miles

?=6*4.5/1=27

Answer:

f(3)=122

Step-by-step explanation:

Answer:

5...?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The answer is 7 because a 2 reversed looks like a 5 and 2+5=7