The triangles shown below may not be congruent.

A. True
B. False

Answer:

[tex]x_1=3+2\sqrt{6}[/tex]

[tex]x_2=3-2\sqrt{6}[/tex]

Step-by-step explanation

[tex]\rule{100mm}{0.5mm}[/tex]

                           [tex]x^2-6x=15[/tex]

[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]

                   [tex]x^2-6x+3^2=15+3^2[/tex]

                     [tex]x^2-6x+9=15+9[/tex]

                          [tex](x-3)^2=24[/tex]

                       [tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]

                              [tex]x-3=\pm2\sqrt{6}[/tex]

                                  [tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]

                                  [tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]                                

[tex]\rule {100mm}{0.5mm}[/tex]

Answer: B

Step-by-step explanation   :}

Answer:

Jonathan's mean score is:

(87+93+85+62+95)/5

=422/5

=84.4

Answer:

The slope of the given line (4x-2y=5) is2

Step-by-step explanation:

slope (m)=-a/b

= -4/-2

=2#

Answer:

X=4

Step-by-step explanation:

I'm took lazy to explain it step by step sorry, but I'm positive that's the correct answer.

Answer:

4

Step-by-step explanation:

(4 - 18)( x+ 3) (-1)= 8 - 72 +162

-14(x+3)(-1) = 98

14(x+3) =98

x+3 = 98÷14

x+3=7

x= 7-3=4

Answer:

Step-by-step explanation:

1. after 7 hours, you watch 1 movie

2. after 0 hours, youve watched 0 movies

3. after 14 hours, you have watched 2 movies

Answer:

PAGE 1

8.) d

9.) b

PAGE 2

6.) b

7.) d

PAGE 3

4.) c

5.) a

PAGE 4

1.) c

2.) c

3.) a

PAGE 5

10.) b

11.) d

Step-by-step explanation:

PAGE 1

8.) x - 20 + x + 10 = 180 (collect like terms)

2x - 10 = 180 (add 10 on both sides)

2x = 190 (divide by 2 on both sides)

x = 95

9.) 2y + y = 180 (collect like terms)

3y = 180 (divide by 3 on both sides)

y = 60

x = y ----> x = 60

PAGE 2

6.)  16x - 6 = 90 (add 6 on both sides)

16x = 96 (divide by 16 on both sides)

x = 6

7.) 5x + 30 = 7x (subtract 5x on both sides)

30 = 2x (divide by 2 on both sides)

15 = x

PAGE 3

4.) <8 and <16 are corresponding angles

5.) 180 - 130 = 50

PAGE 4

1.)  HD and GE are skew lines

2.) AC, EG, and BD are parallel to FH

3.) EF, GH, and BF are perpendicular to FH

PAGE 5

10.) | and || only are the only ones correct

11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.

b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.

Hope this helps ya!!

Answer:

the answer is 7.

Step-by-step explanation:

here's why......if u place the 3 where a is it will become multiplication so that would be 2 times 3 minus b now but if u place -1 the minus becomes addition so it will be 6+1 which is 7.

Answer:

The value of expression when a=3 and b=-1 is 7

Step-by-step explanation:

Given expression is:

2a - b

Also given that

a = 3

b = -1

In order to find the value of the expression, we have to put 3 in place of a and -1 in place of b in the expression

So putting the values

[tex]=2(3)-(-1)\\=6+1\\=7[/tex]

Hence,

The value of expression when a=3 and b=-1 is 7

Answer:

7.15

I hope this helps!

Answer:

SAA

Step-by-step explanation:

SAA is correct

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a​ team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ2

Answer:

Step-by-step explanation:

2 1/2 divided by 3 3/4

2.5 divided by 3.75=  2/3 or 0.6

Answer:

2/3 or .66666666666666666

Step-by-step explanation:

2 1/2 = 5/2

3 3/4 = 15/4

Then you get a common denominator:

10/4 divided by 15/4

flip 15/4

10/4 divided by 4/15

then multiply

40/60

then simplify

2/3

Answer:

y = x + 4 or x - y + 4 = 0

Step-by-step explanation:

The relation between "x" and "y" is linear.

Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1

Coordinates of y-intercept of the line (0, b) = (0, 4)

Slope-intercept form of a line equation is y = mx + b

The rule (equation) of line is y = x + 4

or x - y + 4 = 0 (in standard form)

Answer:

Step-by-step explanation:

5) 121/11 = 11 meals / day

6) 50/10 = 5 min/call

7) 91/7 = 13 books / week

8) 1275 ants/5 ant holes = 255 ants / ant hole

Answer:

3284.01, brainliest if correct pls

Step-by-step explanation:

Answer:

3282 cubic inches.

Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.

Answer:

The dryer cost 425 dollars

Step-by-step explanation:

425+462=887

Answer:

y=5x+12

Step-by-step explanation:

Starting with the components of slope intercept form y=mx+b

m is you rate of change and b represents your y intercept

This would give you in your case y=5x+b, but we still need to solve for b.

So given your (x,y) point you plug it into y=5x+b giving you:

-3 = 5 (-3) + b

then some easy multiplication and addition

-3 = -15 + b

get the constant on the oppisite side of your variable b

-3 + 15 = -15 + 15 + b

This results in b = 12

Now rewrite the formula with b = 12

Which TADA! gives you

y = 5x + 12

Answer:

uhhh

Step-by-step explanation:

Answer:

N165.53°E

Step-by-step explanation:

Given the following vector points

Vx = -43.0units

Vy = 11.1 units

The direction of the vector is expressed using the formula:

θ = tan^-1(Vy/Vx)

θ = tan^-1(11.1/-43.0)

θ = tan^-1(0.2581)

θ = -14.47°

Since tan is negative in the second quadrant, hence the required direction will be θ = 180-14.47

θ = 165.53°

Hence the direction is N165.53°E

Answer:

$6 per hour

Step-by-step explanation:

30 for 5 hours

$6 per hour

Answer:

No

Step-by-step explanation:

No, the produce company does not agree with Mr. Ciullo. There are a total of 12 months in a year and Mr. Ciullo claims that he ordered a whole number of bananas each month. Therefore, if we divide the total amount in pounds that the produce company claims that Mr. Ciullo ordered last year by the twelve months in the year then the result should be a whole number...

6,150 lbs. / 12 = 512.50 lbs.

We can see that the produce company is claiming that Mr. Ciullo ordered 512.50 pounds per month last year, which is not a whole number and therefore contradicting Mr. Ciullo's statement.

Answer:

multiple choice?

Step-by-step explanation:

Answer:

3 + 1(3) +3 (the dollar amounts)

3+3+3

9

0.5 + 0.1 +0.1 +0.1 +0.5 (the cents)

1.3

9 +1.3 = 10.30 worth of groceries using front end estimation

Answer:7

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

7

Answer:

7.69%

Step-by-step explanation:

Explanation of the answer is given below:

Car bought for AED 60,000

Accessories for AED 5,000

Total AED 65,000

Car sold for AED 70,000

AED 65,000 - AED 70,000 = AED 5,000

AED 5,000 / 65,000 * 100

= 7.69% Profit

The correct answer is that Salem made a profit of 7.69% on his car.