Given triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 in, what is the scale factor of the dilation from triangle MNP to QRP? "

Answer:

Corresponding angles postulate

Step-by-step explanation:

<3 and <7 are corresponding angles and if corresponding angles are equal, the lines are parallel.

Answer:

1045.01 rounded to the nearest hundredth

Step-by-step explanation:

First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.

If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.

Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500

tan(60) = x/500

multiply both sides by 500 to isolate the x

tan(60) * 500 = x

x = 866.0254

Similarly, with side y, we can say that tan(20) = y/500 and

tan(20) * 500 = y

y= 181.9851

The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth

Answer:

Its 6

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.

4/16 = 1/4

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

Answer:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Step-by-step explanation:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Answer:

ok

Step-by-step explanation:

ok

Answer:

0.28386

Step-by-step explanation:

Given that :

Mean, μ = 65 miles

Standard deviation, σ = 7 miles

Probability that car travels more than 69 miles per gallon :

Recall,

Z = (x - μ) / σ ; x = 69

Z = (69 - 65) / 7 = 0.5714

The probability :

P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)

P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386

P(Z > 0.5714) = 0.28386

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The soccer ball.  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]

⸻⸻⸻⸻

She would have $13.68 dollars left. Her second item should be the soccer ball.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

202.5

Step-by-step explanation:

[tex]\frac{L}{45}[/tex] = [tex]\frac{90}{20}[/tex] → [tex]\frac{L}{45}[/tex] = [tex]\frac{9}{2}[/tex]

9 x 45 = 405 → 2L=405

L=[tex]\frac{405}{2}[/tex] → L = 202.5

From The picture 2 barrels = 73 gallons

Divide by 2 for gallons per barrel:

73/2 = 36.5 gallons per barrel

Multiply gallons per barrel barrels:

36.5 x 0.045 = 1.6425 gallons.

Rounded to 2 decimals = 1.64

Answer:

Step-by-step explanation:

The proof is attached

The first line is according to the identity:

The second line is simplification where y⁴ cancels and 2x²y² doubles.

The third line is about taking the common factor of x² and factorizing.

Answer:

a family block of Chocolate is made up of 6o small squares

manica eats 10 square John eats 9 Squares and holly eats

5 squares what is the fraction of the block of chocolate

is left

Step-by-step explanation:

i think its answer is 36

Answer:

D

Step-by-step explanation:

This isnt a cartisean coordinate plane so A is wrong. One of our points is at

[tex] - 3 + i[/tex]

Because it coincide with real number 3, and negative imaginary number i.

Conjugates are terms with opposite inverse of terms.

So our conjugates is

[tex] - 3 - i[/tex]

Answer:

Maybe the answer for ur question is 1/596 if the 3 divides the number if not then it's only 596

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

Answer:

64 cm^3

Step-by-step explanation:

Volume of a square pyramid is given by (side)^2*(height)/3. The volume of the pyramid in question is (8)^2*(3)/3=64 cm^3

what is 5cd when c = 3 and d = 4

put the value c=3 and d=4 then,

5cd= 5 × 3 × 4

= 60

thus , 60 is the required answer..........

Answer:

[tex]here \: 5cd \\ c = 3 \\ d = 4 \\ then \: 5 \times 3 \times 4 = 5 \times 12 = 60 \\ thank \: you[/tex]

Answer:

1. The graph represents the inequality y > 2x + 1

2. The y-intercept (where a line meets the y-axis) is at point (0,1). This line rises by 2 for every point it moves to the right (this is called the slope). A dotted line means that point on the line are not included in the solution set, thus you use the > symbol.

Answer:

Its not nonlinear

Step-by-step explanation:

Answer:

no, it is a linear function as y has a degree of 1

Answer:

0.305

Step-by-step explanation:

We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950

Thus, to get the area to the left, we just subtract 0.6950 from 1.

Thus;

area to the left of z = 0.51 is;

P( z < 0.51) = 1 - 0.6950 = 0.305

Answer:

3-x^2

Step-by-step explanation:

Let x be the number

The square is x^2

3 subtract the square of a number

3-x^2

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

Answer:

is your answer how are you

Answer:

acute angle.

Step-by-step explanation:

because it is 60 degree

Nếu AOB là một đường thẳng thì góc BOC =90°

Answer:

x = -12

Step-by-step explanation:

-2(10 + x) = 4​

Divide each side by -2

-2(10 + x) / -2  = 4/-2

(10 + x) = -2​

Subtract 10 from each side

10+x-10 = -2-10

x = -12

The solution to this equation is: x = -12

First degree equation is an equality between members where we find at least one variable.

We have the equation:

[tex]\sf -2(10+x)=4[/tex]

First, we must apply the distributive property.

[tex]\sf -20-2x=4[/tex]

Now we move the independent term to the second degree.

[tex]\sf -2x=4+20[/tex]

We add similar terms.

[tex]\sf -2x=24[/tex]

We isolated the term "x".

[tex]\sf x=\dfrac{24}{-2}[/tex]

Finally, we carry out the division. Discovering, in this way, the solution.

[tex]\boxed{\boxed{\sf x=-12}}[/tex]

Answer:

If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.

Step-by-step explanation:

Answer:

If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.

Step-by-step explanation:

Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

Answer:

if this is division it's 1.2.

Step-by-step explanation:

just divide it of its division if not sorry

Answer:

1.2

Step-by-step explanation: