What is the slope of the line that contains the points (-4, 2) and (6, -3)? -2/3 -1/2 -2 1/2

Answer:

a

Step-by-step explanation:

To prove congruence

1 ∠ A ≅ ∠ C → given

2 ∠ DEA ≅ ∠ BEC → vertically opposite angles

3. AE ≅ EC → given

We then have 2 angles and the included side ( side between the 2 angles )

congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )

Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given

Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

Option a is correct.

From given diagram it is observed that,

Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.

                            [tex]\angle A=\angle C[/tex]

When two lines intersect at any point then vertically opposite angles are equal.

So that,          [tex]\angle DEA=\angle BEC[/tex]

Given that ,   [tex]AE=EC[/tex]

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Hence, both triangles are congruent to each other.

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Answer:

Sabrina read 50 pages on the third day.

Step-by-step explanation:

Since Sabrina read a total of 185 pages in three days, and on the first day, she read 85 pages, while on the second and third days, she read the same amount, to determine how many pages did she read on the third day the following calculation must be performed:

(185 - 85) / 2 = X

100/2 = X

50 = X

Therefore, Sabrina read 50 pages on the third day.

Answer:

The expected gain per warranty is $27.65, crazy stuff

Step-by-step explanation:

If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).

This brings us to cost for the company equal to 0.1%*$350 per warranty sold.

0.1%*$350 = 0.001*$350 = $0.35

And the company gets $28 for each warranty sold, hence they earn

$28 - $0.35 = $27.65

on average.

Answer:

x= -a2(the 2 means squared)/1-3a+a2

Step-by-step explanation:

I rll hope this helps

Answer:

x=      a^2

    ----------------

     1 - 3a + a^2

Step-by-step explanation:

Answer:

Part 1:

P₂(0.07)=0.93245≈[tex]e^{-0.07}[/tex]

Part 2:

Error=[tex]0.5618*10^{-4}[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=e^{x}\\f(-0.07)=e^{-0.07}[/tex]

P₂(x)=[tex]1-x+\frac{x^2}{2}[/tex]

Solution:

Part 1:

P₂(x)=[tex]1-x+\frac{x^2}{2}[/tex]

We have x=0.07

Put Value of x in above Equation:

P₂(0.07)=[tex]1-0.07+\frac{0.07^2}{2}[/tex]

P₂(0.07)=0.93245≈[tex]e^{-0.07}[/tex]

Part 2:

[tex]e^{-0.07}[/tex]=0.93239382 (Calculated using Calculator)

Error=|[tex]e^{-0.07}[/tex]-P₂(0.07)|=|0.93239382-0.93245|=0.00005618

Error=|0.93239382-0.93245|

Error=0.00005618

Error=[tex]0.5618*10^{-4}[/tex]

Answer:

first one is 4.5 second one is 45

Step-by-step explanation:

9514 1404 393

Answer:

  A.  (4, 12)

Step-by-step explanation:

Adding the second equation to twice the first will eliminate y.

  2(10x +2y) +(3x -4y) = 2(64) +(-36)

  23x = 92 . . . . . . . . simplify

  x = 4 . . . . . . . . . divide by 23

This value matches choice A: (4, 12).

Answer:

eleven r plus seven s

Step-by-step explanation:

thats the written form

The slope of the considered roof which has a rise of 10 feet and a run of 15 feet is 2/3

Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increament in the run.

Thus, we get:

Slope = rise/ run

For this case, we're specified that:

The rise in roof = 10 ft and the run of 15 ft.

Thus, we get:

Slope = rise / run = 10/15 = [tex]\dfrac{5 \times 2}{5 \times 3} = \dfrac{2}{3}[/tex]

Thus, the slope of the considered roof which has a rise of 10 feet and a run of 15 feet is 2/3

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Answer: SA≈27.1.

The formula is SA=2πrh+2πr2.

The radius is 0.75 since 1.5 divided by 2=0.75.

Plug it in.

Answer:

94.2 ft of fencing

Step-by-step explanation:

To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.

Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.

Answer:

0.6?

Step-by-step explanation:

confused by the question but thats the middle decimal..

Answer:

$9.35

Step-by-step explanation:

Find the sale price by multiplying 13.35 by 0.7, since this will be 70% of the original price

13.35(0.7)

= 9.345

This rounds to approximately 9.35

So, you will pay $9.35

Answer:

9.35  would be the answer!

Step-by-step explanation:

i would really appreciate a brainliest if this helped! <3

Answer:

x=-1

Step-by-step explanation:

use math a way

.Answer:

The answer is .31

Step-by-step explanation:

When there is a “th” at the end of the number it signals that the number is to the right of the decimal.

Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.

Answer: john answer it correctly

Step-by-step explanation:

6.6.6_=216

Answer:

H

Step-by-step explanation:

Answer:

H. 3.9

Step-by-step explanation:

5.6 - 1.7 = 3.9

Answer:

(51.90 - 37.50) / 3 = G

14.40 / 3 = G

4.8 = G

Savannah will be able to use 4 gigabytes to stay within her budget.

Step-by-step explanation:

Given that under her cell phone plan, Savannah pays a flat cost of $ 37.50 per month and $ 3 per gigabyte, and she wants to keep her bill at $ 51.90 per month, to determine which equation or tape diagram could be used to represent the context if g represents the number of gigabytes of data Savannah can use while staying within her budget, the following calculation should be performed:

(51.90 - 37.50) / 3 = G

14.40 / 3 = G

4.8 = G

Therefore, Savannah will be able to use 4 gigabytes to stay within her budget.

Answer:

Step-by-step explanation:

To solve this problem, you have to solve with order of operations.

Order of operations stands for:

PEMDAS

Parentheses

Exponents

Multiply

Divide

Add

Subtract

Do multiply.

79-4*6+12/3

4*6=24

Rewrite the problem down.

79-24+12/3

Divide.

12/3=4

79-24+4

Add and subtract.

79-24=55

55+4

55+4=59

[tex]\sf\boxed{59}[/tex]

As a result, the final answer is 59.

9514 1404 393

Answer:

  x = y = (√10)/2

Step-by-step explanation:

In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.

  x = y = (√5)(√2)/2

  x = y = (√10)/2

Answer:

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Answer:

10.5 days

Step-by-step explanation:

Given :

P(d1) = 0.5 ; P(d2) = 0.3 ; P(d3) = 0.2

For d1: 2days of freedom ; then back to cell

For d2 : 3 days of freedom ; then back to cell

For d3 :, complete freedom.

Let number of days till freedom is attained = x

x = E(x | d1)p(d1) + E(x | d2)p(d2) + E(x | d3)p(d3)

x = (2 + x)(0.5) + (3 + x)(0.3) + (1 * 0.2)

x = 1 + 0.5x + 0.9 + 0.3x + 0.2

x = 2.1 + 0.8x

x - 0.8x = 2.1

0.2x = 2.1

x = 2.1 / 0.2

x = 10.5 days

Hence, expected number of days to attain freedom = 10.5 days

Answer:

D). 10699

Step-by-step explanation:

D is right the math is hard to explain.

Answer:

f(-5) = 25

f(0) = -2

f(5) = 16

Step-by-step explanation:

Given the functions;

To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero

at where x < 0, f(x) = x^2

f(-5) = (-5)^2

f(-5) = 25

b) For f(0), where the point where x = 0, f(x)= -2

Hence the value of f(o) = -2

c) For f(5), the function where x > 5 is f(x) = 2x+6

f(x) = 2x+6

f(5) = 2(5)+6

f(5) = 16

D^2 = (x2-x1)^2 + (y2-y1)^2

D =sqrt((10+5)^2 + (10-2)^2)

D P SQRT(15^2 + 8^2)

D = sqrt(225 +64)

D= sqrt(289)

D = 17

The distance is 17

Answer:7ft

Step-by-step explanation:

i got it right

Answer:

The answer is 13.

Step-by-step explanation:

Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9.  So you input all values into the expression until you get the product of 9.

Work: 2(13)-17=9, so 13 is your answer.

Answer:

I'm rusty on this but I believe:

the median is 54

the lower quartile = 16

the upper quartile is 72

Answer:

D. 100

Step-by-step explanation:

1. Find the z-score: 165-176/11.4 = -1.2

2. Find the percentage of the z-score. Here it's 16.85%

3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.

4. Multiply the percentage by the number of members: 83.15%*120 = 99.78

5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.

Also, I took the test :)