Solve for x, the triangles are similar

Answer:

h= 60

g= 120

m= 147

k= 33

Step-by-step explanation:

We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.

This immediately helps with angle h:

    120 + h = 180

              h = 60

As well as m:

     33 + m = 180

              m = 147

There are two ways to solve the next part:

First and most familiar way:

    h + g = 180

    60 + g = 180

             g = 120

and:

    m + k = 180

    147 + k = 180

              k = 33

The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.

Answer:

Step-by-step explanation:

[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]

[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]

[tex] = 3 - \sqrt{3} (ans)[/tex]

9514 1404 393

Answer:

  B. The lengths of two of the triangle's sides and the measure of the angle between them

Step-by-step explanation:

The usual formulation of the law of cosines is something like this:

  c² = a² +b² -2ab·cos(C)

where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.

_____

Additional comment

One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.

Answer:

The answer is B.)

Step-by-step explanation:

Answer:

plz check ur school solution down.

Step-by-step explanation:

Answer:

Option A, 0.3

Step-by-step explanation:

Step 1:  Convert the fraction into a decimal

Technically, 1/3 is an irrational number meaning that it never ends.  However, if we round it, it would round to 0.3 since 1/3 = 0.3333333.....

Answer: Option A, 0.3

Answer:

C

Step-by-step explanation:

When she first noticed the problem

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

Answer:

See below.

Step-by-step explanation:

7.)

Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.

8.)

Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.

9.)

Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.

Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.

10.)

Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.

Step 1: Find the perimeter of the rectangle

The rectangle has two lengths and one width that we need to add together. The width of the rectangle is equal to 2 times the radius (or the diameter) of the circle, which is 16.

25 + 25 + 16 = 66

Step 2: Find the perimeter of the semicircle

The perimeter of a semicircle is equal to half of the circumference.

C = pi x diameter

1/2 (3.14) x (16) = 25.12

Step 3: Find the perimeter of the figure

All that's left to do is add the two perimeters together.

66 + 25.12 = 91.12 m

Hope this helps!

the top answer correct :)

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

[tex]SE=\frac{s}{\sqrt{N} }[/tex]

     [tex]=\frac{8}{\sqrt{92} }[/tex]

     [tex]=0.834[/tex]

now,

⇒ [tex]1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )[/tex] = [tex]1-P(-2.28<z<2.28)[/tex]

or,

                                          = [tex]1-(2\times P(z<2.28)-1)[/tex]

                                          = [tex]2-2\times P(z<2.28)[/tex]

With the help of table, the normal distribution will be:

=  [tex]2-2\times 0.9887[/tex]

= [tex]0.0226[/tex]

Answer:

11 1/3 minutes per mile.

Step-by-step explanation:

3/4 miles jogged in 8 1/2 minutes.

So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3  = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile

Answer:

x = 11 1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

3/4 mile              1 mile

----------------- = --------------

8 1/2 minutes        x minutes

Using cross products

3/4 *x = 8 1/2

Multiply each side by 4/3

4/3 * 3/4x = 8 1/2 * 4/3

x = 17/2 * 4/3

x = 34/3

x = 11 1/3

Answer:

For Task B: [tex]3x^4 - 2x^3[/tex]

Step-by-step explanation:

Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!

Answer:

True

False

Step-by-step explanation:

BC are on the same line so, the new [tex]B^{1}[/tex][tex]C^{1}[/tex] will also be on the same. Just a different line than the original. The both move the same distance when dilated.

CD and the new [tex]C^{1}[/tex][tex]D^{1}[/tex] cannot be the same length. The dilation will increase their length by 1[tex]\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

5 years

[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]

10 years

[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]

486 months:

[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]

round those as you please

Answer:

At most 3 calls: 64.7%

At least 3 calls: 57.7%

5 or more calls: 18.5%

Step-by-step explanation:

9514 1404 393

Answer:

  -36

Step-by-step explanation:

Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.

  an = a1 +d(n -1)

  a8 = a1 + d(8 -1) = 60

  a12 = a1 + d(12 -1) = 48

The difference of these equations is ...

  (a1 +7d) -(a1 +11d) = (60) -(48)

  -4d = 12

  d = -3

Substituting into the first equation, we have ...

  a1 +7(-3) = 60

  a1 = 81 . . . . . . . . . add 21

Then the 40th term is ...

  a40 = 81 -3(40 -1) = 81 -117

  a40 = -36

Answer:

Step-by-step explanation:

Answer:

Answer:

2 1/6

Step-by-step explanation:

6.5x=2x+1.6=1/3

1/3*6.5=2 1/6

Answer:

D.21

Step-by-step explanation:

MP=MV - PV= 67 -46 = 21

9514 1404 393

Answer:

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

Answer:

when you multiply a number by itself

Step-by-step explanation:

Answer:

y+1 = 2(x-1)

Step-by-step explanation:

Point slope form for a line is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

We are given the point(1,-1)

y --1 = 2(x-1)

y+1 = 2(x-1)

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The product of lengths to the two circle intercepts are the same for each secant.

  7(7+9) = (8x)(8x+6x)

  112 = 112x² . . . simplify

  1 = x² . . . . . . divide by 112

  x = 1 . . . . . . . take the square root (segment lengths are positive)

Answer:

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Answer:

Perimeter = (x+3) * 3 =    3x+9

Step-by-step explanation:

(x+3) would be multiplied by 3 in order to account for each of the three sides of the equilateral triangle-

The expression for the perimeter of the triangle is 3x+9.To find the expression for the perimeter of the triangle.

Perimeter is the distance around the edge of a shape. The continuous line forms the boundary of a closed geometrical figure.In an equilateral triangle, all 3 sides are the same length, so the equation would look something like this:

P=the perimeter of the triangle

(x+3)=length of each side

P=3(x+3)

To simplify further, distribute the 3 to both the x and the 3 inside of the parentheses, getting

P=3x+9.

So, the expression for the perimeter of the triangle is 3x+9.

Learn more about perimeter here:

https://brainly.com/question/6465134

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