write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.

Answer:

x >= -2

-2 < x < 1

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

w= 1±√−251/ −2

Answer:

7/20

Step-by-step explanation:

Answer:

ok so here is answer option no1

1/8 + 1/4 = 3/8

or you could do

18 plus 14 equals 32divided into 8 equals 4

Step-by-step explanation:

if this is wrong I'm very very very really really really sorry.

Answer:

hi

Step-by-step explanation:

the answer would be 1.2778

Answer: 23.76 miles

Step-by-step explanation:

You are basically finding the perimeter for question a

given that perimeter is [tex]\pi[/tex]d

Subsitute the values

So perimeter = [tex]\pi[/tex] x 5.5 = 5.5 [tex]\pi[/tex] miles = 17.28 miles (2.d.p)

For question b, the area of the surface of Crater lake is finding its area

Given that area of a circle is [tex]\pi r^{2}[/tex]

Substitute the values

Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75

Area = 2.75^2 x [tex]\pi[/tex] = 7.5625[tex]\pi[/tex] = 23.76 miles^2 (2.d.p)

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

Answer:

100%

Step-by-step explanation:

Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.

Answer:

61 m²

Step-by-step explanation:

Find the area of the whole rectangle and subtract the part that is cut off

Area =  [tex]11 *8 - 9 *(8-5)[/tex]

        = [tex]88 - 9*3[/tex]

        = [tex]88 - 27[/tex]

        = [tex]61[/tex]

Units = m * m or m²

61 m²

-Chetan K

Answer:

Go download CameraMath on playstore

Answer:

3x-3y

Step-by-step explanation:

3(x-y)

open the brackets:

(3×x)-(3×y)

= 3x-3y

Answer:

14x 2 +9

Step-by-step explanation:

Answer:

Answer:

perimeter=114

AREA= 308

Step-by-step explanation:

A^2 + B^2=C^2

then A+B=+C= P for triangle

52= triangle perimeter

rectangle:

(l+w)*2=p for rectangle=62

then add 52+62= 114

AREA- Triangle

b*h/2

22*10=220

220/2

= 110

AREA- Rectangle

l*w=A

22*9=198

ADD BOTH AREAS

198+110=308

HOPE IT HELPS

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The desired probability is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]

[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]

Then:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check https://brainly.com/question/24863377

Answer:

3/23 x 5/23 = 15/529 = 2.84%

Answer:

First find the total of 7 hearts, 8 diamonds, 6 clubs and 6 spades which is 24 altogether. Therefore we are talking about 4 types of cards. I therefore think the probability will be 2/24

Answer:

JO !

Step-by-step explanation:

get he exponet out the way

\

that leaves you with 3+4x1

do 4x 1 that equals 4

3+ 4 = 7

Hey there!

3 + 4 × 1^2

= 3 + 4 × 1

= 3 + 4

= 7

[Jo is correct] whereas Mia is incorrect because she misunderstood the question.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

Answer:

5

Step-by-step explanation:

let positive integer be x

x² + 3(x+1)=43

x²+3x+3-43=0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x+8) - 5(x+8)=0

(x-5)(x+8)=0

x-5=0 or x+8=0

x=5. or x=-8

but the question says positive integer,

therefore, x=5

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ5

Answer:

B(2,1). And C(-2,3)

Step-by-step explanation:

Tbh, you can just plug the numbers into the original equation :2x+3y=5

A.2x2+3x3=13 ≠5

B.2x2+3x1=5=5

C.-2x2+3x3=5=5

D.-2x2+3x0=-4≠5

So the answer is B and C lies on the line

Answer:

-32

Step-by-step explanation:

-32x + 4y = 12

4y = 12 + 32x

/4      /4     /4

y = 3 + 8x

Answer:

the explanation of wot

Step-by-step explanation:

If you give an explanation of something, you give details about it or describe it so that it can be understood.

Answer:

4378

Step-by-step explanation:

Its clearly given that each term is multiplied by 3

I.e- 2×3 = 6

6×3= 18

and so on....

so here the G.P series is a=2 and r=3

To find the 8th term ar^8-1

ar^7 = 2×3^7

= 2×2187

= 4378

The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let L represent the amount Layla owes her friend after t weeks.

Using the point from the graph (0, 140) and (7, 0):

L - 140 = [(0 - 140)/(7 - 0)](t - 0)

L - 140 = -20t

L = -20t + 140

The y intercept is 140

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

factor of 7a²b, 14abc

7a²b, 14abc= 7ab

A tail length of 23.94 cm is at the 40th percentile for these lizards.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard\ deviation\\\\\\Given\ that:\\\mu=22.5\ cm,\sigma = 3.6\ cm[/tex]

For the 40th percentile, that is z = 40% = 0.4:

[tex]0.4=\frac{x-22.5}{3.6} \\\\x=23.94\ cm[/tex]

A tail length of 23.94 cm is at the 40th percentile for these lizards.

Find out more at: https://brainly.com/question/15016913

Answer:

so its 4 just bc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5x + 40 + 2(2x + 20) + x = 360

10x + 80 = 360

10x = 280

x = 28

5x + 40 =? 180

140 + 40 =? 180

180 = 180