Verne has 5 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny

Answer:

SAS, cuz an angle and 2 of it's adjacent sides are given for each triangle that makes them congruent.

Hope this helps!

Answer:

A) Median

Step-by-step explanation:

A median joins the midpoint of a side and the opposite vertex.

Answer:

Step-by-step explanation:

365 x 24 = 8,760

365 x 6 = 2,190

8,760 - 2,190 = 6,570

6,570 / 24 = 273 3/4

The person sleeps 91 (1/4) days per year.

Multiplication is the process of adding a number up to a given number.

Given that, the person sleeps 6 hours a day.

The total hours of sleeping over a year are:

365 × 6

= 2190 hours per year

Since there are 24 hours in a day, divide 2190 by 24 to get the answer in days per hour:

2190/24

= 91 (1/4)

Hence, the person sleeps 91 (1/4) days per year.

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Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.  

[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]

Similarly:

[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]

For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]

For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]

For point 3:[tex]\to BE=KR=157[/tex]

For point 4:[tex]\to Kf=BR=130[/tex]

For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]

Given that ΔKER and ΔBRE are congruent triangles, therefore:

1. How far KFC is from RCBC = KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 70°

Congruent triangles have corresponding parts hat are congruent to each other.

Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:

KR = BE

4x - 15 =  3x + 28

4x - 3x = 15 + 28

x = 43

KE = BR

3y + 5 = 2y + 50

3y - 2y = -5 + 50

y = 45

Thus:

1. How far KFC is from RCBC = KR

KR = 4x - 15

Plug in the value of x

KR = 4(43) - 15

KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR

BR = 2y + 50

Plug in the value of y

BR = 2(45) + 50

BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 180 - (92 + 18) = 70°

Learn more about congruent triangles on:

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Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

Answer: =

Step-by-step explanation: just took the test

We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.

Here we have two angles, one in degrees and  the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.

The angles are:

pi/3 rads

60°

First, remember that:

pi rads = 180°

1 rad = (180°/pi)

With this, we can change the units of the first angle to get:

pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°

So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.

pi/3 rads = 60°

If you want to learn more about angles, you can read:

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[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]

Answer:

The total earned money over the 5 year period=$14,000

Step-by-step explanation:

We are given that

Principle amount, P=$10000

Rate of interest, r=8%

Time, t=5 years

We have to find the total earned money over the 5 year period.

We know that

Simple interest=[tex]\frac{P\times r\times t}{100}[/tex]

Using the formula

S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]

S.I=$4000

Now,

Amount=P+S.I

Amount=10000+4000

Amount=$14000

Hence, the total earned money over the 5 year period=$14000

Answer:

Surface Area = 2×(10×7 + 10×4 + 7×4) = 276 feet^2

Step-by-step explanation:

Hope this helps :)

Multiply the total distance by the portion she rode:

0.6 miles x 0.9 = 0.54 miles

She rode 0.54 miles

Answer:

Yes I would

Step-by-step explanation:

You would not have enough test subjects to have an accurate survey.

Answer:

25 -2

Step-by-step explanation:

Answer:

(3,-1)

Step-by-step explanation:

f(x)=(x2 - 6x)+8

f(x) = (x2 - 6x +9) + 8 - 9

f(x) = (x2 - 6x + 9) - 1

f(x) = (x - 3)^2 - 1

Since the completing square formula = a(x - h) + k

The vertex = (h,k)

= (3,-1)

Answer:

I'm pretty sure its C

Step-by-step explanation:

Move the point P two steps right. The original coordinates of P were (2,5)  moving the point 2 units right increases the X value (X,Y) by 2 units, making it (4, 5)

Answer:

is that 3x or mutiply sign

Answer:

3x^2-4x+1

Step-by-step explanation:

Answer:

the answer is 40 ..........

Answer:

x = 40

Step-by-step explanation:

2x = 4x - 40 (recall properties of a parallelogram)

Solve for x

2x - 4x = 4x - 40 - 4x (subtraction property of equality)

-2x = -40

-2x/-2 = -40/-2 (division property of equality)

x = 20

Answer:

[tex]x = \sqrt{32}[/tex]

Step-by-step explanation:

[tex]\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}[/tex]

Answer:

-3

Step-by-step explanation:

To get the slope of the line tangent to the function y = 6 - 3x

First, we need to differentiate;

dy/dx = 0 -3x^{1-1}

dy/dx = 0 - 3x^0

dy/dx = 0 - 3

dy/dx = -3

Hence the slope of the line tangent to the function at the point is -3

Answer:

B

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

Answer:

2

Step-by-step explanation:

[tex]\frac{6}{2}[/tex] - [tex]\frac{7}{7}[/tex]        First simplify each fraction

[tex]3[/tex] - 1        Then solve

2            Final answer

Answer:

− 1.  ¯3

Step-by-step explanation:

Answer:

Corey have a better score on his math test

Step-by-step explanation:

13/15 = 86%

17/20 = 85%

turn the scores into percentage and you will get the answer

Answer:

34

Step-by-step explanation:

Hypotenuse is the longest side

I hope this helped have a great day

Answer:

17/50

Step-by-step explanation:

.34 is thirty four hundredths

This means 34/100

Simplifying by dividing the top and bottom by 2

17/50

Answer:

17÷50

Step-by-step explanation:

0.34

= 0.34/1      

= (0.34 × 100) ÷ (1 × 100)

= 34/100

= (34)

÷(100)                     (you can divide by 2)

= 17÷50

9514 1404 393

Answer:

  y = 9

Step-by-step explanation:

Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.

  y = 27/3 = 9

10/12 = 5/6 probability that she will not win on the next roll

Given :

You select 13 cards without replacement from a standard deck of 52 cards.

To Find :

The probability that you get 4 aces.

Solution :

Since, it is given that we need to select cards without replacement.

Probability of getting 4 aces is :

[tex]P = \dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50} \times \dfrac{1}{49}\times 4!\\\\P = 3.693 \times 10^{-6}[/tex]

Hence, this is the required solution.

Answer:

2

Step-by-step explanation:

Slope is the ratio (quotient) of vertical change (the change in y) and the horizontal change (the change in x).

You may have heard "rise over run" as a phrase to help remember.

[tex]\frac{6}{3}=2[/tex]