Two sisters Anna and Shay left the home at the same time. They headed out in opposite directions towards their destination. Shay drove 50 mph faster than her sister Anna. Two hours they were 220 mph apart from each. What was Anna’s average speed?

Answer:

Step-by-step explanation: Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 57°. What is m∠D? can someone help plsss

If Triangle ABC is congruent to triangle DEF then measure of angle D is 48 degrees.

Given, Triangle ABC is congruent to triangle DEF.

Angle sum property of triangle: Sum of all the interior angles of the triangle is 180 degrees.

Congruent triangles: When two triangles are congruent they are similar in shape and coincide when superimposed.

Now in triangle ABC,

∠B = 90°

∠C = 42°

Apply angle sum property,

∠A + ∠B + ∠C = 180 degrees

∠A + 90° + 42° = 180°

∠A = 48°

When Triangle ABC is congruent to triangle DEF,

∠A = ∠D

∠B = ∠E

∠C = ∠F

Thus measure of angle D is equal to measure of angle A.

∴∠A = ∠D = 48°

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Step-by-step explanation:

13. f(x) = 6x; f(x) = -24

6x = -24

x = -4

14. g(x) = -10x; g(x) = 15

-10x = 15

x = -1.5

15. f(x) = 3x – 5; f(x) = 4

3x-5 =4

3x =9

x = 3

16. h(x) = 14 – 8x; h(x) = -2

14-8x=-2

-8x = -16

x = 2

Answer:

Part of an ecosystem

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

x = # of boys, y = # of girls

x/3+y/4=16; mult. ea side by 12: 4x+3y=192 (1)

x+y=52; mult. ea side by 3: 3x+3y=156 (2)

(1)-(2)=x=36

Answer:

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function? The value of x can be:

A.) Any real number

B.) Any real number except 5

C.) Any real number except 5 and -2

The value of y can be:

A.) Any real number

B.) Any real number except -2

C.) Any real number except 5 and -2

Answer:

1: b- any real number except 5

2: a- any real number

Step-by-step explanation:

Answer:

y = 0

Step-by-step explanation:

Parallel lines have equal slopes

Calculate the slopes of both lines and equate them

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 3 ) and (x₂, y₂ ) = (3, y )

m = [tex]\frac{y-(-3)}{3-1}[/tex] = [tex]\frac{y+3}{2}[/tex]

Repeat with (x₁, y₁ ) = (5, - 6 ) and (x₂, y₂ ) = (9, y )

m = [tex]\frac{y-(-6)}{9-5}[/tex] = [tex]\frac{y+6}{4}[/tex]

Equating the 2 expressions

[tex]\frac{y+3}{2}[/tex] = [tex]\frac{y+6}{4}[/tex] ( cross- multiply )

4(y + 3) = 2(y + 6) ← distribute parenthesis on both sides

4y + 12 = 2y + 12 ( subtract 2y from both sides )

2y + 12 = 12 ( subtract 12 from both sides )

2y = 0 , then

y = 0

Answer:

6

Step-by-step explanation:

After divide, the solution of the expression is,

⇒ 54 ÷ 9 = 6

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 54 ÷ 9

Now, We can divide as;

⇒ 54 ÷ 9

9 ) 54 ( 6

   - 54

     ------

       00

Thus, After divide, the solution of the expression is,

⇒ 54 ÷ 9 = 6

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Answer:

$5

Step-by-step explanation:

(5/6)*24=20

20-15=5

Answer:

1. 0.7

2. 0.75

3. 23

Step-by-step explanation:

You didn't provide a fourth number.

Answer:

b.

Step-by-step explanation:

Answer:

NOT a function

Step-by-step explanation:

y^2 (not y2) is "the square of y"

The given 2x + y^2 = 6 can be solved for y as follows:

Subtracting 2x from both sides, we get     y^2 = 6 - 2x, whose y-values are y = ±√(6 - 2x).  Because there are two y-values associated with each x value, this is NOT a function.  In a function there is only one y value for each x value.

Answer:

m ∠ABC = 35°

Step-by-step explanation:

lines are parallel  and you have a pair of corresponding angles that are equal.

x = 3x - 70

-2x = -70

x = -70/-2

x = 35°

Hello,

Let us choose an element x of the Real Numbers. So x can either be positive or negative. So we have two case to study :

Case 1 : x is positive.

If x is positive, that is, x = 0, 1, 2, 3, ....

then the absolute value gives us the same number : |0| = 0

|1| = 1

|2|= 2

etc.

so the absolute value of x positive equals x : |x| = x

Case 2 : x is negative.

If x is negative, that is, x = - 1, - 2, -3, .....

then the absolue value gives us the opposite value : |-1| = - (-1) = 1

|-2| = -(-2) = 2

|-3| = -(-3) = 3

(Remember the product of two negative sign is a positive signe : -1 * -1 = +1)

And so we can join both cases as a piecewise function, writing :

|x| = [tex]\left \{ {{x=x if x\geq 0 } \atop {x= - x if x<0 }} \right.[/tex]

so x = x if x ≥ 0 and x = - x if x < 0

Finally the answer is : it depend on the function itself. If the function takes both positive and negative value, then the absolute value of the function will be written as a piecewise function. If the function takes only positive or negative value, then it won't be written as a piecewise function.

Answer:

B) {8.71}

Step-by-step explanation:

3. l.c.m=28

28×3/7=28×b-7/4

4×3=7(b-7)

12=7b-49

12+49=7b

61=7b

61/7=7b/7

8.71=b

b=8.71.

Answer:

2a+2b+4

Step-by-step explanation:

(2a+2b+4)+(3a+8)+(5a+b)=10a+3b+12

Answer:

The perimeter of the triangle is [tex]10a + 3b + 12[/tex], while the two sides is [tex]3a + 8[/tex] and [tex]5a + b[/tex]. To find the missing side, subtract the two known sides from the known perimeter.

[tex](10a + 3b + 12) - (3a + 8) - (5a+b) = 2a+2b+4[/tex]

If we simplify this expression by taking out a factor of [tex]2[/tex], the final answer is: [tex]2a + 2b + 4 = 2(a + b + 2)[/tex].

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Step-by-step explanation:

See top.

Answer:

y=f(x-2)-1

Step-by-step explanation:

-x is left and -y cordnate is down 1 is the y

Answer: (2.1/3)  [if I read the numbers correctly]

Step-by-step explanation:

Similar triangles have identical angles, desite having different sides.  But the sides remain in the same proportions.  I can't quite make out the exact numbers since the photo is too small, but it the lower tiangle has sides of 2.1 and 3, the second triangle will have the same two sides in the same proportion:  2.1/3.

Answer:

200/50=h

h=number of hours

Step-by-step explanation:

Maddie drove 200 miles at a speed of 50 miles per hour.

As we know

speed = miles/hours  

and to calculate we use the formula

Hour = miles/speed

So the equation that helps to find the number of hours she was driving =

h = 200/50

Equation will be h =  200/50

Answer:   StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction

Step-by-step explanation:

For constant speed, miles and hours are proportional. One possible equation is ...

_____

I personally like to put the unknown in the numerator, so the equation can be solved in one step. The equation above requires two steps: one to cross-multiply, and one to divide by 50.

I might write the equation as ...

 (? hours)/(200 mi) = (1 hour)/(50 mi) . . . . multiply by 200 mi to solve

Another way to write the equation is matching the ratios of times to corresponding miles:

 (? hours)/(1 hour) = (200 mi)/(50 mi)

This only requires simplification to solve it: ? = 4.

So it would be A.

Step-by-step explanation:

Answer:

the answer to that would be 9

1) y = 6

2) x = 3

3) y = - 2/3

4) x = - 6

So all we have to do is substitute the known 'variable' and solve for the unknown variable.

1)    2(-3) + 3y = 12

                 3y = 12 + 6

                  y = 6

2)    4y = (1/3)x - 5

    4(-1) = (1/3)x - 5

   (1/3)x = 5 - 4

        x = 3

3)       (x/3) - 2 = y

    (4/3) - (6/3) = y

                    y = (-2/3)

4)   2(x+1) = 5y

     2(x+1) = 5(-2)

    2x + 2 = - 10

          2x = -12

           x = -6

Answer:

y = -2x

Step-by-step explanation:

When it is x is -5, y is double of x multiplied into -1.

Hence, it is y = -2x

We can take a couple examples,

i) When x = -5,

   y = -2(-5)

      = 10

ii) When x = -10,

     y = -2(-10)

        = 20

and so on.

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Answer:

A. 22

b. Yes. Because there are 23 woman and they are all under 18 and there are 22 males. In which we don't know if they are underage, but it doesn't really matter because there is one more girl in the room than boys. And all woman are underage so there for there are more underage students in the room.

Step-by-step explanation:

Hope this helps :)

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And have an amazing day <3

Answer:

there would be 21.6 males. That doesn't work, so you'd have 21 or 22(probably 22)

yes, most of the students are minors. 52% percent at least are under 18 years. 52% is more than half, so that would make it so most are minors.

Step-by-step explanation:

Answer

a) 3 to 8 b) 1 to 9 c) 8 to 6 (4 to 3 if simplified) d) 2/5

Step-by-step explanation:

These are all similar questions. You need to find the Greatest common divisor or factor that are composite integers multiplying to said fraction; in most simpler terms. Take a the GCF is 7, 21 is a multiple of 7 3x  exponentiating it then 56 8x. If you need further links I have apps and links that can explain it.

Answer:

2.5

Step-by-step explanation:

There are eight numbers, and the two middle numbers are 2, and 3. When there's an even amount of numbers, we calculate the average of the two middle numbers.