Similar Triangles

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 3/4 = 9/12 = 3/4
b. 3/9 = 4/12 = 1/3
c. 3/12 = 4/9 = 1/4
d. 4/3 = 12/9 = 4/3

Please select the best answer from the choices provided

Answer:

4th Option, 45.1

Step-by-step explanation:

Cos(Ф) = [tex]\frac{12}{17}[/tex]

Ф = Cos⁻¹ ([tex]\frac{12}{17}[/tex])

Ф = 45.1

Hope this helps!

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

Answer:

D. The probability is 7%.

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

Answer:

15 I think

Step-by-step explanation:

Answer: The is THH, or A.

Step-by-step explanation: The question directly ask for “at least two heads”, which no other answer contains two heads. Therefore, the answer is A.

Answer:

THE ANSWER SHOULD BE B

HAVE A GOOD DAY

Step-by-step explanation:

Answer:

sort several bags and calculate percentage

The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

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Answer:

BC is 12

Step-by-step explanation:

Which means that you just add by 3 which is the rule

Answer:

The UCL of the 95% confidence interval for population mean is 10.16 minutes

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{6.2}{\sqrt{200}} = 0.86[/tex]

The upper end of the interval is the sample mean added to M. So it is 9.3 + 0.86 = 10.16 minutes.

The UCL of the 95% confidence interval for population mean is 10.16 minutes

Answer:

sorry can'thelp

Step-by-step explanation:

Answer and explanation:

I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!

Answer:

.5 < .7

Step-by-step explanation:

unless its negatives, the bigger the number the more value it has

0.5 > 0.7 i hope this helpsssss

Answer:

a=7.6

y=2.3

Step-by-step explanation:

2.5/5=3.8/a

1/2=3.8/a

a=7.6

2.5/5=y/4.6

1/2=y/4.6

2y=4.6

y=2.3

Answer:

Its C. Square

Step-by-step explanation:

The most specific name for the figure is Square.

A quadrilateral is a four-sided polygon in geometry with four sides and four vertices. The Latin words quadri, which means "four," and latus, which means "side," are the sources of the word. Similar to other polygons like the pentagon, it is also known as a tetragon, derived from the Greek words "tetra," which means "four," and "gon," which means "corner" or "angle." It is also known as a quadrangle or a 4-angle because the word "gon" means "angle."

Given figure with coordinates

(-a, 0), (-2a, a), (-a, 2a), (0, a)

from coordinates length of side can be calculated excluding negative sign,

side = (y₂ - y₁)/(x₂ - x₁)

AB = (a - 0)/(-2a + a) = -1

BC = (2a - a)/(-a + 2a) = 1

CD = (a - 2a)/(0 + a) = -1

DA = (a - 0)/(0 + a) = 1

excluding negative sign for length all sides are equal

it is a Square: A regular polygon with four sides of equal length and angles of equal length of 90 degrees each is called a square.

Hence the figure is Square.

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Answer:

Step-by-step explanation:

3D space  (x, y, z)  = (10, 45, 57)

I will use  x² + y² = (2D Hyp)²  and (2D Hyp)² + z² = (3D Hyp)²

which is just x² + y²  + z² = (3D Hyp)²

10² + 45²  + 57² = (3D Hyp)²

100 + 2025 + 3249    =  5374   =   (3D Hyp)²    the destance from the origin

                                                   =  73.31    the destance from the origin

Answer:

look at the picture i sent

Answer:

65x + 60x = 500

add 65x and 60x

this will equal 125x

divide 500 by 125

this will give you x = 4

which gives you the answer that the trucks will meet in 4 hours

please mark as brainliest

hope this helps : )

Step-by-step explanation:

Answer:

5.76 units

Step-by-step explanation:

Length of arc EG = central angle/360 × 2πr

Where,

central angle = 30°

radius (r) = 11 units

Plug in the values into the formula

Length of arc EG = 30/360 × 2 × π × 11

Length or arc EG ≈ 5.76 units (to nearest hundredth)

Answer:

cos theta=4/5

b/h=4/5

b=4 and h=5

p=?

H^2=P^2+B^2

5^2=P^2+4^2

25-16=P^2

9=P^2

[tex]\sqrt{9}[/tex]=P

3=P

Now,

sin2theta

=p/h2

=3/5*2

=9/5

Step-by-step explanation:

Answer:

About 36.87 degrees; sinθ=3/5

Step-by-step explanation:

Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.

Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.

By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:

c^2-b^2=a^2

Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).

5^2-4^2=a^2

25-16=a^2

9=a^2

a=3

The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.

sinθ=3/5

Move over the sine to then opposite side, inverse it:

θ=sin-1 3/5

Use a calculator.

θ = about 36.87 degrees.

Answer:

[tex] \huge\red{\boxed{\mathfrak{Hello}}}[/tex]

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]10 + 10 \\ = 20[/tex]

Answer:20

Step-by-step explanation:

10+10=20

Answer:

-28 meters

Step-by-step explanation:

Sea level is represented as 0 meters typically, so for something that is 28 meters below sea level, you would represent that as -28 meters.

Answer:

these are negative numbers

Step-by-step explanation:

Answer:

the inverse for each relation:

1. {(1,-2), (2, 3),(3, -3),(4, 2)} is

{(-2,1),(3,2),(-3,3),(2,4)}.

Given statement solution is :-12.9 liters are in milleters is  12,900 mL.

The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre. That's a little sum in the imperial system.

A measure of volume in the metric system. One thousand milliliters equal one liter. Additionally known as cc, mL, and cubic centimetre.

To convert liters to milliliters, you need to multiply the number of liters by 1,000, since there are 1,000 milliliters in a liter.

So, multiplying 12.9 by 1,000 will give you the answer to how many millilitres are in 12.9 litres:

12.9 litres x litres per 1,000 = 12,900 mL

Therefore, option 3: 12,900 mL, is the milleters right response.

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Answer:

4/6 or 2/3

Step-by-step explanation:

6 sides with 4 of the numbers being greater than 2; 4/6. The simplified version is 2/3.

Answer:

A. P(EC) = 0.4  

B. P(E∪E) = 0.75

C. P(EC ∩ FC) = 0.25

Step-by-step explanation:

Let us calculate -:

we are given with - P(E) = 60 and P(F) =.15,

Thus , (a) [tex]P(E^C)=1-P(E)[/tex]

                   [tex]=1-0.6[/tex]

                   [tex]=0.4[/tex]

(b) P(E∪F) = P(E) + P(F)

   = 0.60 + 0.15

   = 0.75

(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]

   [tex]=1-0.75[/tex]

   = [tex]0.25[/tex]

Hence , the answers are -A. P(EC) = 0.4  , B. P(E∪E) = 0.75  , C. P(EC ∩ FC) = 0.25.

Answer:

3x - y + 7 = 0

Step-by-step explanation:

The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,

=> y - y₁ = m( x - x₁)

=> y - (-5) = 3 { x - (-4) }

=> y +5 = 3( x + 4 )

=> y + 5 = 3x + 12

=> 3x - y + 12 - 5 = 0

=> 3x - y +7 = 0