3(2x+5) = 3x + 4x
What is the solution?

Answer:

Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections

Hence, ∠DEG = ∠GEF --------------(1)

We are given the measure of these angles:

∠DEG = 3x - 4

∠GEF = x + 13

Now, replacing the values in (1):

3x - 4 = x + 13

2x = 17

x = 17/2

Now, finding the measure of ∠DEF:

∠DEF = ∠DEG + ∠GEF

∠DEF = 3x - 4 + x + 13

∠DEF = (51 / 2) - 4 + (17/2) + 13                      (x = 17/2)

∠DEF = 34 - 4 + 13

∠DEF = 43°

Answer:

(2,−6/7), (3,−12/7), and (6,−30/7)

Step-by-step explanation:

Answer:

12/35

Step-by-step explanation:

if you cross multiply the two numbers you will get your answer

Answer:

.583

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

________Hours of sleep______

Age ___<6__6-6.9___ 7-7.9 __≥8 ___total

≤ 39___38___60_____77____65____240

≥ 40___36___57_____75____92____260

A.) test of independence for row and column variables :

Null: row and column variables are independent

Alternative : row and column variables are not independent

Expected frequencies :

[(row total) * (column total] / sample size

E1: ((38+60+77+65)*(38+36))/500 = 35.52

E2: ((38+60+77+65)*(60+57))/500 = 56.16

E3: ((38+60+77+65)*(77+75))/500 = 72.96

E4: ((38+60+77+65)*(65+92))/500 = 75.36

E5: ((36+57+75+92)*(38+36))/500 = 38.48

E6: ((36+57+75+92)*(60+57))/500 = 60.84

E7: ((36+57+75+92)*(77+75))/500 = 79.04

E8: ((36+57+75+92)*(65+92))/500 = 81.64

Then performing the Chisquare independence test X²

X² = Σ[(f1-e1)²/e1 + (f2-e2)²/e2... (fn - en)²/en]

F1 to f8 = 38,60,77,65,36,57,75,92

X² = ((38-49.92)^2)/35.52 + ((60-56.16)^2)/56.16 + ((77-72.96)^2)/72.96 + ((65-75.36)^2)/75.36 + ((36-38.48)^2)/38.48 + ((57-60.84)^2)/60.84 + ((75-79.04)^2)/79.04 + ((92-81.64)^2)/81.64

= 4.0070162

X² = 4.00

α = 0.05

Reject Null if p < α

df = (row - 1)*( column - 1)

df = (2 - 1)*(4-1) = 1*3 = 3

To obtain the p value, we can use an online calculator to compute the P-value from the X² square score at α = 0.05 and 3 degree of freedom

p = 0.261

Since ; p > α ; 0.261 > 0.05 ; The result is not significant at α 0.05 ; Hence we fail to reject the Null.

Answer:

81 in each row

Step-by-step explanation:

81 + 81 = 162

Answer:

18 students

Step-by-step explanation:

72 boys

90 girls

objective: to arrange in rows with equal number (n) of only boys or girls.

To find the maximum number (n) of boys or girls in each row, you need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.

objective: to arrange in rows with an equal number (n) of only boys or girls.

To find the maximum number (n) of boys or girls in each row, we need to find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that n divides both numbers evenly without a remainder.

We will use two methods to find the GCF of two numbers.

Factorize each number to powers of prime and locate the common factors.

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90

So the GCF/your answer is 18.

Answer:

Perpendicular they cross at a 90 degree angle

Answer:

(-2,7)

Step-by-step explanation:

Remember: (x, y), Substitute the numbers:

1. (-3, 6)

5 • -3 + 4 • 6 = 18

-15 + 24 = 18

9 = 18 X, incorrect

2. (2, 4)

5 • 2 + 4 • 4 = 18

10 + 16 = 18

26 = 18 X, incorrect

3. (8, 2)

5 • 8 + 4 • 2 = 18

40 + 8 = 18

48 = 18 X, incorrect

4. (-2, 7)

5 • -2 + 4 • 7 = 18

-10 + 28 = 18

18 = 18, ☆, correct!

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation

(5x+3x)+(-32+12)=180

8x-20=180

Step 2: Add 20 to both sides.

8x-20+20= 180+20

              8x= 200

Step 3: Divide both sides by 8

8x/8= 200/8

     x= 25

Answer:

The first one is 0,4 and the other is 5,2

Answer:

4,368

Step-by-step explanation:

take 600 and add 4% to get 624

then take the 624 and multiply by 7

and the answer is 4,368

let's see what to do buddy...

_________________________________

_________________________________

Step (1)

We have 600 $ .

One year later ;

[tex]600 + (600) \times \frac{4}{100} = 600 + 24 = 624 \\ [/tex]

Now we have 624 $.

_________________________________

Step (2)

One year later :

[tex]624 + (624) \times \frac{4}{100} = 624 + 24.96 = \\ 624 + 25 = 649 [/tex]

After two years we have 649 $.

_________________________________

Step (3)

One year later :

[tex]649 + (649) \times \frac{4}{100} = 649 + 25.96 \\ 649 + 26 = 675 [/tex]

After three years we have 675 $.

_________________________________

Step (4)

One year later :

[tex]675 + (675) \times \frac{4}{100} = 675 + 27 = 702 \\ [/tex]

So after four years we have 702 $.

_________________________________

Step (5)

One year later :

[tex]702 + (702) \times \frac{4}{100} = 702 + 28.08 \\ 702 + 28 = 730 [/tex]

After five years we have 730 $.

_________________________________

Step (6)

One year later :

[tex]730 + (730) \times \frac{4}{100} = 730 + 29.20 \\ 730 + 29 = 759 [/tex]

So After six years we have 759 $.

_________________________________

Step (7)

One year later :

[tex]759 + (759) \times \frac{4}{100} = 759 + 30.36 \\ 759 + 30 = 789 [/tex]

So after seven years we have 789 $.

_________________________________

There's no any more steps.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]

Step-by-step explanation:

(y=x^2+1)^-1=

x=y^2+1

x-1=y^2

+ or -sqrt(x-1)=y

therefore, y=

[tex]\sqrt{x-1} , -\sqrt{x-1}[/tex]

Answer:

121 is the perfect square between 100 and 144.

Answer:10 7/30

Step-by-step explanation: If correct please give me brainliest  Thank you ! :D

2 2/3 + 2 1/2 + 2 2/5 + 2 2/3 = 10 7/30

Answer:

10 7/30 or 10.23 hours

Step-by-step explanation:

2+2+2+2=8

(2/3)+(1/2)+(2/5)+(2/3)=67/30

67/30=2 7/30

2 7/30+8= 10 7/30

Answer:

the rate iof change is 286

Step-by-step explanation:

Answer:

Rate of Change is 65

Step-by-step explanation:

260/4 = 65

585/9 = 65

845/13 = 65

1105/17 = 65

1625/25 = 65

Answer:

tbh not sure sorry hope somebody anwsers

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation

7x+10=7x+10

Step 1: Subtract 7x from both sides.

7x+10−7x=7x+10−7x

10=10

Step 2: Subtract 10 from both sides.

10−10=0

There are no solution.

Answer:

Step-by-step explanation:

no solution

Answer:

C

Step-by-step explanation:

Answer:

2 ≤ x ≤ 7

Step-by-step explanation:

Due to the triangle inequality, the sum of two sides of a triangle must be greater than or equal to the remaining side.

Therefore,

5+7 ≥ 2x-2

=> 12 ≥ 2x-2

=> 14 ≥ 2x

=> 7 ≥ x

However, notice that BC + AB must be ≥ 7, So,

5 + 2x - 2 ≥ 7

=> 2x - 2 ≥ 2

=> 2x ≥ 4

=> x ≥ 2

Therefore, both bound of x have been found.

The possible values of x are 2< x < 7.

In a triangle, the sum of two sides is always greater than the third side. And the difference of two sides is always less than the third side.

Given,

First side = 5

Second side = 7

Therefore, sum of first and second side = 5 + 7

                                                                  = 12

Also, absolute difference of first and second side = 7 - 5

                                                                  = 2

Therefore, we can write:

                                2 < 2x - 2 < 12

Or                             4 < 2x < 14

                                 2 < x < 7

Hence, the possible values of x are 2< x < 7.

To learn more about side property of triangle visit:

https://brainly.com/question/28709672

#SPJ1

Answer:

5, 25, 109

Step-by-step explanation:

5, 25, 109, 2725 divided by 5, 5, 109, gives no remainder. They are integers and prime numbers of 2725, they are also called composite number.

Answer: the answer is 6

Step-by-step explanation:

Answer:

D. 6

Step-by-step explanation:

GCF means greatest common factor, so if you test out all of the answers, the factors you come up with is 2 and 6. Since 6 is larger, that is your answer.

Answer:

∠1 = ∠3 = ∠5 = ∠7 = 72°

∠2 = ∠4 = ∠6 = ∠8 = 180° -72° = 108°

∠13 = ∠14 = ∠15 = ∠16 = ∠17 = ∠18 = ∠19 = ∠20 = 90°

∠10 = ∠12 = 90° -72° = 18°

∠9 = ∠11 = 180° -18° = 162°

Step-by-step explanation:

Answer:

(a) 14.11 dollars (b) 204 dollars

Step-by-step explanation:

(a) 500 - 211 = 289    289 '/. 17 = 14 r:7  14.7 dollars

(b) 17 x 5 = 85   289 - 85 = 204

hope this helped :)

Answer:

If Hamdah still needs $211, she has been saving for 17 weeks(17b). Hamdah still needs $126 after 5 weeks

Step-by-step explanation:

Subtract $211 from $500, you will get $289. After you must divide $289 by 17 because Hamdah earns $17 each week, you will get 17 and that represents how many weeks she has been saving. Hamdah still needs $126 because taking the information from the last question she has $289 (289+211 equals 500, 211 is how much she needs and 289 is how much she has) so we subtract 289 from 500 and we will get 211, then you subtract the product of $17 × 5 weeks from 211 and you will get $126. So, after 5 weeks, Hamdah will still need $126.

Answer:

15707.96ft³

Step-by-step explanation:

Step-by-step explanation:

1. 120+21 =141

2. 21-3=18

3. 7x-21

4. 4x+20

5. 45+100=145

6. 40+5c

7. 20+22r+26s

Im not too sure about the other question

Answer:

What are the angles

Step-by-step explanation:

List all the angles

Answer:

24x+29

Step-by-step explanation:

Answer:

15x^2+12x+11

Step-by-step explanation:

Hope this helps!

Answer:

X ≥ 112,6 $

Step-by-step explanation:

Normal Distribution  N ( 95 , 16 )

μ₀ = 95

σ  =  16

We need to get z (score) for area 0,1357; then from z - Table we get

z (score) = 1,1

Now  z (score ) = ( X - μ₀ )/σ

1,1 = ( X - 95 ) / 16

17,60 + 95  = X

X = 112,6 $

That means that in order to get a gift customes has to spend at least 112,6 $

Answer:

10.48

Step-by-step explanation:

Answer:

10.48 mi

Step-by-step explanation:

2.62 times 4= 10.48