What is the distance between -7, -3 2/3 on a number line ?

Explanation:

Glue the two right triangles together to form one larger triangle.

The angle adjacent to the 60 degree angle is 180-60 = 120 degrees.

The angle adjacent to x is 180-x

The larger triangle has the interior angles of:

Those three angles add to 180 (which is true of any triangle)

35+120+180-x = 180

335-x = 180

-x = 180-335

-x = -155

x = 155

Or you can note that 35+120 = 155 which is the summation of the interior angles that aren't adjacent to exterior angle x (refer to the remote interior angle theorem, aka the exterior angle theorem).

Answer:

B and D

Step-by-step explanation:

B) Isosceles , this is one answer because two sides of the triangle are exactly the same measurement .

D) Right , this is the second answer because that little box in the corner there represents a 90 degree angle which is in turn a right angle .

Answer:

  W = 73°

  X = 81°

  Y = 26°

Step-by-step explanation:

We can let W, X, Y represent the measures of the corresponding angles. The problem statement gives us the relations ...

  W = 3Y -5

  X = W +8

Of course, the sum of angles in a triangle is 180°, so we have ...

  W +X +Y = 180

  W +(W +8) +Y = 180 . . . . . substitute for x

  2W +Y = 172 . . . . . . . . . subtract 8, collect terms

  2(3Y -5) +Y = 172 . . . substitute for W

  7Y = 182 . . . . . . . . add 10, collect terms

  Y = 26 . . . . . . . . divide by 7

  W = 3(26) -5 = 73

  X = 73 +8 = 81

The angle measures are (W, X, Y) = (73°, 81°, 26°).

Answer:  1,000 millimeters

The prefix "milli" means "thousandth". One thousandth of a meter is a millimeter (mm). So it takes 1000 mm to form a full meter.

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.

The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.

  (x, y) = (0, -3)

_____

  U(-5, 0)

  V(-3, 3)

  W(5, 5)

  X(-4, -5)

  Y(0, -3)

  Z(2, -1)

It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.

Answer:

146

Step-by-step explanation:

Since the dilated side length will be 73 times the length, 73 x 2 is 146. :)

Answer:

90

Step-by-step explanation:

10 people 25 feet sqr

9*25=255

255/25=9

so 9*10=90

Answer:

B, C and D

Step-by-step explanation:

Answer:

[tex] {4}^{11} \div {4}^{5 } = {4}^{11 - 5} = {4}^{6} [/tex]

Step-by-step explanation:

please mark me as brainlest

Answer:

B:☑️ Because individual point is connect in the funtion

Step-by-step explanation:

Answer:

40 degrees

Step-by-step explanation:

It is a vertical angle so because the right side is 40 degrees it is the same on the left side. The measure of Angle 1 is 40 degrees.

Answer:

[tex]3^{-2} * 3^3[/tex]

Step-by-step explanation:

Multiply 1/9 and 27 to get 27/9 which reduces to 3. When doing these equations, you add up the exponents. To get 3, you would have to have 3^1. The get this, the only equation that would work is 3^-2 x 3^3

-2+3 gets 1. So 3^1 which gets you 3. So this is the answer.

Answer:

  A.  12.5 ft

Step-by-step explanation:

The geometry is modeled by a right triangle with legs 6 ft and 11 ft. The length of the rope is the length of the hypotenuse of that triangle. That is given by the Pythagorean theorem:

  c² = a² +b² . . . . . . where c is the hypotenuse and a, b are the leg lengths

  c = √(a² +b²) = √(6² +11²) = √(36 +121) = √157

  c ≈ 12.530 . . . . feet

The rope is about 12.5 feet long.

_____

Additional comment

The hypotenuse of a right triangle is longer than either leg, and is shorter than the sum of the two legs. That means ...

  11 < c < 17

Only one answer choice fits.

Answer:

Step-by-step explanation:

This method is known as dimensional analysis. Where a unit (and its number) appears in the numerator of a fraction, it appears in the denominator of the next fraction. You should always carry the units from 1 fraction to the next.

25 m        1 km       3600 seconds

====  * [  ====== ] * [==========]

sec         1000 m      1 hour

Notice how the units are going to cancel. What you are left with is

25 m * 3600 * 1 km

==============

sec        1000 m * 1 hour

90000 km

======

1000 hour

90 km / hour

Answer:

128cm^3

Step-by-step explanation:

With the given cone and the give formula, we can easily plug in the numbers provdied with one step right before.

While the height and diameter is given, we must use radius when working with volume of a cone, and radius is half of the diameter. In this case, the radius would be 4 cm

Plugging in the rest of the numbers, we get (3 * 4^2 * 8) / 3 which comes to a grand total of 128cm^3

Answer:

L

Step-by-step explanation:

Answer:

The least common denominator is 72.

Step-by-step explanation:

8 = 2³

9 = 3²

Since the two denominators have no common factors, the LCD is their product.

LCD = 8 × 9 = 72

The least common denominator is 72.

Answer:

Step-by-step explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

→19.7ft

First, let's identify what r and h are from the equation by looking at the diagram of the cone

_______________

**Remember, r is the radius of a circle .... In the diagram, all we see is the diameter of the circle at the top of the cone. This is okay because radius is half of the diameter. The Diameter is 2

r = 1

Now h is the height of the cone. The diagram shows up that ...

h = 5

*Now let's plug in what we know into the equation they give us

V = πr²h /  3

*The instructions told us we can use "3" for π

V = 3(1)²(5) /  3

* quick tip! We see that the top AND bottom of the fraction both have the number 3, so we can cancel it out. (but you don't have to do this and you can work out the problem normally. We will still get the same answer) BUT, If we do cancel it out, now we are left with ...

V = (1)²(5)

1² = 1

so... V = 1 × 5

The volume of the cone is 5cm³

The number of bags of cat treat is 6 and the number of bags of dog treat is 9.

Let

x = number of cat treat

y = number of dog treat

She bought a total of 15 bags for treat for cat and dog. Therefore,

She spent $54 on the total treats. Therefore,

Therefore,

x + y  =15

3x + 4y = 54

3x + 3y = 45

3x + 4y = 54

y = 9

x = 15 - 9

x = 6

learn more on system of equation: https://brainly.com/question/1544745?referrer=searchResults

Answer:

4x1x1

Step-by-step explanation:

4xbxc all variables such as b,c,x equal 1.

Answer:

The answer is A

Step-by-step explanation:

Subtract from right to left

85, 678

-28, 989

=56, 689

Answer:

B, C, 45°

Step-by-step explanation:

16.

B. If two figures are congruent then they are similar too because the corresponding angles are congruent and the sides are in proportion (1 to 1 is the proportion if the similar triangles are congruent)

17.

The sum of interior angles in a quadrilateral must be 360°

77+90+6x+8 +9x-10 = 360, add interior angles of the quadrilateral

6x+9x +77+90+8-10 = 360, group like terms

                  15x +165 = 360, combine like terms

                           15x = 360 -165, subtract 165 from both sides

                           15x = 195, divide both sides by 15

                              x= 13

∡ E = 6x + 8 = 6*13 +8 = 78 +8 = 86 (answer C)

18.

Ratio of angles of a triangle are 3:4:5 and we know that the sum of angles have to be 180°

3x+4x+5x = 180, to keep the proportions we need to find x

          12x = 180, add like terms

               x= 15, divide both sides by 12

3*x : 4*x : 5*x , the proportion that is given

3*15: 4*15: 5*15, the proportion of our angles

  45:    60:   75,  the angles that are in proportion 3:4:5 and add up to 180°

The smallest angle is 45°

Step-by-step explanation:

the surface consists of 6 squares. but for the lateral surface area we ignore top and bottom (you can imagine we only calculate the walls of a room). that leaves 4 squares.

each square has the same side length of 1.8 cm.

so, the area of one square is 1.8² = 3.24 cm²

and the total lateral surface area of the 4 squares is

3.24×4 = 12.96 cm²

Answer:

x < -3

Step-by-step explanation:

x + 6 < 3

Subtract 6 from both sides

x + 6 - 6 < 3 - 6

x < -3

If you need to graph it on a number line, you need a open circle over the -3 with an arrow pointing left <---------

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

f(g(x))

f(x - 3)

2(x - 3) + 7

2x - 6 + 7

2x + 1

Answer:

x=-7

Step-by-step explanation:

-8x = 56

divide both sides by -8

that leaves you with x = -7

you can plug it in to check because -8 * -7 = 56