3. Reflect the triangle ABC over the x-axis
to create triangle A'B'C'.

Angle 1 and 2 are equal because of correspondence angle

so , (78-2x) = (89-3x)

x = 89 - 78

x = 11

hence angle 1 = ( 78 - 2*11) = 56

and angle 2 = ( 89-3*11) = 56

So, both of angle is 56

hope it help and your day will full of happiness

Answer:

64 km/hr

Step-by-step explanation:

Answer:

He purchased 15 tickets.

Step-by-step explanation:

First you gather your important information/ numbers

-7

-8

- how many tickets did he purchase?(+)

Then you create your equation and solve

7+8=15

Answer:

download photo math you can take pictures of math problems and will solve them.

Answer:

slope =[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:

[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]

Thus, the slope is [tex]-\frac{2}{3}[/tex].

Answer:

144.78cm

Step-by-step explanation:

4ft 9in is 57 inches

so 57x2.54 is 144.78

Answer:

Mario is 12.446 cm

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

You just subtract 75 - 15, and you get 60. I hope this helps :)

Answer:

w of king akinf arro

Step-by-step explanation:

Answer:

pens

Step-by-step explanation:

Answer:

x^2 - 6x + 9

Step-by-step explanation:

(x-3)^2

(x-3)(x-3)

x^2 -3x -3x + 9

x^2 - 6x + 9

^2 means (x - 3) times itself twice.

(x - 3)(x - 3)             multiplying polynomials- Firsts, Outs, Inners, Lasts (FOIL)

                                 Firsts (x* x)   Outs (x*-3)   Inners (-3 * x)   Lasts (-3*-3)

xx -3x -3x +9            Combine like terms.

      -3x -3x             Adding/subtracting integers- same signs means you add          

                                     and keep the sign.

x^2 -6x + 9              

Answer:

x>-2

Step-by-step explanation:

-9x-15<3

•Move the constant to the right

9x<3+15

•calculate

-9x<18

•Divide both sides

Answer:

m = 7

Step-by-step explanation:

21 = m + 14

21 - 14 = m

m = 7

Answer:

It's gonna be C and good luck!

Answer:

(1,3)

Step-by-step explanation:

because that is where they intersect

Answer:

y=4x-1y=−x+4

Step-by-step explanation:

Answer:

c 36+28

Step-by-step explanation:

the answer is c 36 + 28

Answer:

122.4

Step-by-step explanation:

Just Divide.

Answer:

85

Step-by-step explanation:

1x2 x 85 = 102

Answer:0.08

The answer is b i always got your back

Step-by-step explanation:

Answer:

.30

Step-by-step explanation:

Answer:

I think its gon be 24 guests

Answer:

24 people can be there at most :)

Step-by-step explanation:

$32 divided by 16(guests) is $2

so its $2 per person

so 48$ divided by $2 is 24

So Camille can invite 24 people at the cost of 48$ being her total at most :)

Look at the graph i sent you.

Graph of : y = 3sqrt(x+1) - 2

Answer:

n=23

Step-by-step explanation:

4-23=19

meme

Answer:

-23

Step-by-step explanation:

-23+4= -19

Answer:

Where is it?

Step-by-step explanation:

Where is the question exactly?

Answer:

Greatest common factor of 17

So, the prime factors of 45 are 3, 3, and 5. The Greatest Common Factor is the greatest number that is common (that is, in both lists). It is 17. Since 17 is a factor of itself and of 51 -- which is 3 x 17 -- then the greatest possible common factor is 17!

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

- (m - 1 )( 7m + 17 )

Answer:

18 meters.

Step-by-step explanation:

The ratio is 1cm:2m, so for every centimeter, you multiply it by 2 and convert it to meters. So, 9 cm time 2 equals 18 and then add meters, so 18 meters.

(hope this helps :P)

Answer:

29

61

Step-by-step explanation:

x^2 - 20

x = 7 and 9

Evaluate

___________

We know the values of x, let's substitute them with the x in the problem :

(7)^2 - 20

49 - 20

29

(9)^2 - 20

81 - 20

61

Answer:

21 is the correct answer because

Answer: n = 10.

Step-by-step explanation:

In the bag, we have n counters.

4 of the counters are red.

the rest are blue, then we have:

(n - 4) blue counters.

Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n

Then the probability is:

p1 = (n - 4)/n

Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)

The probability of this event is:

p2 = (n - 5)/(n - 1)

The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:

1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))

Now let's solve this for n.

n*(n - 1)/3 = (n - 4)*(n - 5)

(n^2 - n)/3 = n^2 - 4*n - 5*n + 20

n^2 - n = 3*(n^2 - 9*n + 20)

n^2 - n = 3*n^2 - 27*n + 60

0 = (3*n^2 - n^2) - 27*n + n + 60

0 = 2*n^2 - 26*n + 60

The two solutions of this equation can be found with Bhaskara's equation:

[tex]n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}[/tex]

Then the two solutions are:

n = (26 - 14)/4 = 3

This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.

The other solution is:

n = (26 + 14)/4 = 40/4 = 10

Then we have n = 10, 10 counters in total.

Answer:

3

Step-by-step explanation:

Whatever the highest exponent is determines the degree.

Answer:

e= -10/9

Step-by-step explanation:

Answer:

e = 10

Step-by-step explanation:

1.) We need to manipulate the equation to get e by itself.

2.) To solve the equation, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e (Combine like terms)

9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)

e + 4 = 14 (Combine like terms)

e + 4 - 4 = 14 - 4 (Subtract 4 from each side)

e = 10 (Combine like terms.

3.) Answer: e = 10.

Now lets check our work. To check your work, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e

9(10) + 4 = 14 + 8(10)

90 + 4 = 14 + 80

94 = 94

By doing those steps we can confirm the answer, e = 10, is true.