Which triangles are similar to △DEF?

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

Answer:

13.5

Step-by-step explanation:

your teacher wrote all the tools you need down already.

we only need to apply them.

is that really so difficult ?

because of the law of sines we have

sin(27)/11 = sin(34)/x

we can also turn this upside down to simplify the calculation.

11/sin(27) = x/sin(34)

x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5

there, that was all there was to it ...

The Answer Is KL/YZ=8

have an amazing day <3

Answer:

D

Step-by-step explanation:

JL/XZ = 8

Answer:

Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates

Step-by-step explanation:

Given:

In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.

To find:

The value of a.

Solution:

Let the given triangle be ABC, such that,

[tex]m\angle B=28^\circ[/tex]

[tex]m\angle C=102^\circ[/tex]

[tex]b=27\ cm[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]

[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]

[tex]m\angle A=50^\circ[/tex]

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]

[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]

[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]

[tex]a\approx 44.06[/tex]

Therefore, the value of a is about 44.06 cm.

9514 1404 393

Answer:

  z = -7

Step-by-step explanation:

The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.

Already, we observe that the ratios of x- and y-coefficients are -4:

  -12/3 = -4

  8/-2 = -4

The equations will be dependent when the constants have that same ratio:

  8z/14 = -4 . . . . desired ratio

  8z = -56 . . . . . multiply by 14

  z = -7 . . . . makes the equations true for all real numbers

_____

Comment on the question

The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.

However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".

Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.

Answer:

Step-by-step explanation:

Answer:

x = 6 (brainliest..?)

Step-by-step explanation:

x² = 4(4 + 5)

x² = 36

x = 6

C. $6010, I plugged the information into a simple compound  interest calculator.

Answer:

5 faces

8 edges

5 vertices

Answer:

1. B) Age and type of movie preferred are independent

2.A). Age and type of movie preferred are dependent.

Step-by-step explanation:

1. State the Null Hypothesis

B) Age and type of movie preferred are independent

2. State the alternative hypothesis.

A). Age and type of movie preferred are dependent.

This is chi square independence test therefore we will test the independence of the two factors  age and the type of movie preferred.

The null hypothesis is formulated as

Age and type of movie preferred are independent

against the claim

Age and type of movie preferred are dependent.

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

so

x³+3x²+4x+12

4.57438 to the nearest tenths place is 5.

Answer:

7 X 5

You use multiplacation to find the total number of blocks

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Answer:15

Step-by-step explanation:

Answer:  The value of the median is 15.

Step-by-step explanation:

Answer:

16 2/3

Step-by-step explanation:

Answer:

53092.92 square inches

Step-by-step explanation:

Surface Area of a Sphere = 4πr2

Radius = ½D = 130÷2 = 65

4 × 3.14 × 65² = 53092.92

B. Parallel faces

Not all sides need to be parallel and a polygon has only 1 face unless cut

Answer:

Step-by-step explanation:

number one is 10

number two is (c) they have the same median

Answer:

C/B

Step-by-step explanation:

test 1: 90 - 50 = 40

test 2: 100 - 40 = 60

60 - 40 = 20

test 1 is 60 and test 2 is 80

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = [tex]l^2[/tex]

where length = [tex]4\sqrt{2}[/tex]

Area = [tex](4\sqrt{2}) ^2 = 32cm^2[/tex]

Area of the circle

Area of the circle = [tex]\pi r^2[/tex]

area of circle =[tex]\pi \times 4^2 =50.26cm^2[/tex]

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

Answer:

c

Step-by-step explanation:

The limit exists because it's continuous since they equal each other

when x approaches zero.

Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.

Answer:

this is the answer!!

Step-by-step explanation:

Answer:

The function g(x) increases faster than the function f(x)

Answer:

To make mistakes and learn more.

Step-by-step explanation:

Because, the only way to learn math is to make mistakes, its okay to make mistakes!

Answer:

i use math in my everyday life to calculate calories for my diet.

Step-by-step explanation: