Leo can run a mile in 7.45 minutes. At that rate, how long would it take for him to run a marathon (we let a marathon equal 26.2 miles)?

Answer:

HL Postulate

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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

Answer:

The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

To find the hourly rate, we would first need to take the total earnings and subtract the bonus.

$164 - $50 = 114

This gives us the total money earned for hourly work.

Then we need to add the total hours worked: 4 + 8 = 12.

Lastly, we need to take the total money earned and divide it by the total hours worked: 114 / 12 = 9.50 or $9.50 per hour.

The equation could look like:

4h + 8h + $50 = $165

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

9x - 3y + 5y

Step 2: Simplify

Answer:

[tex]c=5d+50[/tex]

Step-by-step explanation:

Given that:

Supplies of the lemonade bought at price = $50

Money paid per day to setup lemonade stand at the park = $5

To find:

Equation of her total cost.

Solution:

Let the number of days = [tex]d[/tex]

Per day cost of setting up the lemonade stand is given as $5.

If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.

Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]

Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:

[tex]c=5d+50[/tex]

Answer:

x = -4  y = -2(-4) - 4 = -12

x = -2  y = -2(-2) - 4 = 0

x = 0  y = -2(0) - 4 = -4

x = 2  y = -2(2) - 4 = -8

Hope this helps! ;)

Answer: V^3

V times V times V

Step-by-step explanation:

I think?

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Answer:

It would be C, Y=x-7

Step-by-step explanation:

Each X in the left column is 7 more than Y in the right column.

Everytime theres an X, you subtract 7 to get Y, making the equation y=x-7

Answer:

The correct answer is...

Fernando incorrectly found the product of –2 and –5.

I hope this helps! Have a nice day!

Answer:

a and c

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

9(10-1)=81

Answer:

Step-by-step explanation:

1S. JM bisects ∠ KJL and  ∠JMK ≅ ∠JML

1R. Given

2S. ∠KJM ≅ ∠LJM

2R. Angle bisectors form ≅ ∠s

3S. JM≅JM

3R. Reflexive Propriety ( segment is ≅ with itself)

4S. ΔJMK ≅ΔJML

4R. ASA theorem of congruency

5S. JK≅JL

5R. Coresponding parts of congruent Δs are congruent (CPCTC)

Answer:

the answer would be 64 hours

Step-by-step explanation:

You just had to divide 768 by 12

Answer:

wait wut!!!?????????

Final Answer: [tex]b = -1[/tex]

Steps/Reasons/Explanation:

Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.

Step 1: Subtract [tex]6b[/tex] from both sides.

[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]

Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].

[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]

Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.

[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]

Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].

[tex]b = -1[/tex]

~I hope I helped you :)~

Answer:

y=5x-10

Step-by-step explanation:

Answer:

x>20/3

Step-by-step explanation:

Answer:

48 Siamese cats were surveyed

Step-by-step explanation:

Let x represent the total number of surveyed Siamese cats.

Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:

Number of cats who lapped = (5/8)x

Also, 3/16 admitted they would have preferred to use a straw:

Number of cats who used straw = (3/16)x

Taking into consideration that 39 of the Siamese cats gave one of those two answers:

(5/8)x + (3/16)x = 39

(13 / 16)x = 39

x = 39 * 16 / 13

x = 48

48 Siamese cats were surveyed

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)

Step-by-step explanation:

You solve all of them by inputting the x value's into the x in the equation

Here:

y= -2(1)   x=1 y= -2

y= -2(4)   x=4 y= -8

y= -2( -5)  x= -5 y= 10

y= -2(3)   x= 3    y= -6

Answer: 11 is 3.667% of 300.

Step-by-step explanation: The 3.667% of 300 is 11.001, this is the closest possible to 11.

P.D. Hope this helps!

Answer:

$7.65

Step-by-step explanation:

Given that:

Money used for buying the four salmon steaks = $22.95

Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81

To find:

Price of salmon steak per pound, to the nearest cent = ?

Solution:

Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3

Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.

Price of salmon steak per pound = [tex]\frac{22.95}{3} = \$7.65[/tex]

The answer is 6.

9 times 6 = 54.

Answer:

A, she read 3 book in the first 2 months

Step-by-step explanation:

I hope this helps :)

Answer:

uh

Step-by-step explanation:

Answer:

[tex] \widehat {DC} [/tex]

Step-by-step explanation:

Since, DC is the diameter of the circle.

Therefore,

[tex]m\widehat{DC} = 180\degree [/tex]

Answer:

Step-by-step explanation:

Unit price = 31.25 ÷ 5 = 6.25

So each scarf costs 6.25

Answer:

$8.75 per scarf

Step-by-step explanation:

5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.

43.75 / 5 = 8.75

One scarf costs $8.75

Step-by-step explanation:

$8.75 per scarf

Step-by-step explanation:

5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.

43.75 / 5 = 8.75

One scarf costs $8.75

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

Answer:

its C. (x + 4)² + y² = 5

Step-by-step explanation:

edge

Answer:

Subtraction

Step-by-step explanation: