help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC

Answer:

Step-by-step explanation:

A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!

Answer:

x=10

z=2

y=5

Step-by-step explanation:

since they are equal, set the sides up as equal to one another and use pemdas to solve.

EX; x+15=2x+5

     -x        -x

15=x+5

-5     -5

10=x

Answer:63

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

Let's assume the measurement of the second angle is x.

so, following the problem

(2x + 9) + x = 180

2x + x = 3x

=> 3x + 9 = 180

=> 3x = 180 - 9

3x = 171

x = 171/3

x = 57°

57° is the smallest angle

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

Answer:

Not a quadratic function.

Step-by-step explanation:

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

Answer:

First of all not a math question but wtv

the answer is C since where the story takes place affects what the characters do

Hope This Helps!!!

Step-by-step explanation:

<B=180°-70°-50°=60°

hope this helps you.

Answer:

2x/5=9/15

2x=9/3

x=1.5

Answer:

8

Those little "sticks" are called absolute value.

For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.

Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.

I hope it helps.

b and c are the answers i think....

Answer: The answer is B, a car traveling 25 km/h.

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Given the following

If there is a 16% increase, the increment will be 0.16(150)

The population B(t) as a function of time will be expreessed as:

B(t) = 150(1+0.16)

B(t) = 150 (1.16)

Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Learn more on function here: https://brainly.com/question/10439235

Answer:

the function is increasing

Answer:

Step-by-step explanation:

Conclusion:

Therefore, n = 1/9

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

3rd option

Step-by-step explanation:

The angle opposite the shortest side is the smallest

The angle opposite the longest side is the largest

Shortest side is AC with ∠ B opposite , thus smallest

Longest side is AB with ∠ C opposite, thus largest

Then order of angles from least to greatest is

∠ B , ∠ A , ∠ C

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

a equals  and b equals 7

Step-by-step explanation

divide both side by 3 getting a+b=(28/3)

subtract b from both sides getting a=(28/3)-b

to solve for b its the same way so b=(28/3)-a

you can then substitute

Answer:

2.5

Step-by-step explanation:

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Answer:

2.5

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Step-by-step explanation:

Answer:

Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.

Step-by-step explanation:

Answer: 76 = 4g

Step-by-step explanation:

76 is the product of Greg's savings and 4 can be represented as 76 = 4g

Answer:

m = 3.63

Step-by-step explanation:

5-m =1.37

5-m-5 = 1.37-5

-m=-3.63

-m/-1=-3.63/-1

m= 3.63

Answer:

x = 3.63

Step-by-step explanation:

use elimination;

5 - m = 3.63

+5 +5

5 - 5 + 5 = 5

3.63 - 5 + 5 = 3.63

check answer:

5 - 3.63 = 1.37

therefore; x = 3.63

hope this helps!

.b- 15 = -12

b = 15 - 12

b = 3

. x - 5 = 7

x = 7 + 5

x = 12

. r + 6 = 11

r = 11 - 6

r = 5

. v/15 = 15

v = 15 × 15

v = 225

Answer:

3. b = 3

5. x = 12

7. r = 5

9. v = -225

Step-by-step explanation:

3. b - 15 = -12  

To get b by itself we have to add 15 to both sides.

b = 15-12

b = 3

5. x-5 = 7

To get x by itself we have to add 5 to both sides.

x = 5+7

x = 12

7. r + 6 = 11

To get r by itself we have to subtract 6 to both sides.

r = 11-6

r = 5

9. [tex]\frac{v}{15}[/tex] = -15

To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]

v = -15(15)

v = -225

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)