Graph the following system of equations.
y = 3x + 15
3x + 3y = 9
What is the solution to the system?
There is no solution.
There is one unique solution (-3, 6).
There is one unique solution (0, 15).
There are infinitely many solutions.

In parallelogram, x=7 and AC = 44 units are the values of x and AC .

What do math parallelograms mean?

A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal.

                       A parallelogram ABCD with the coordinates AB II CD and AD II BC can be seen in the provided illustration. Moreover, AB = CD and AD = BC. Non-Example: A parallelogram is not represented by a trapezium.

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

   BE  = BD/2

 2x + 2 = (5x- 3)/2

2(2x + 2) = 5x - 3

  4x + 4 = 5x - 3

   x = 7

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 units.

Learn more about parallelogram

brainly.com/question/29147156

#SPJ4

Answer:

42 cm A

Step-by-step explanation:

Answer:

1/108

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The vertex is the point the rays have in common. The side rays are named by naming the vertex first, then a point on the ray.

The rays come together at point S. The name of the vertex point is S.

The sides of the angle are rays ST and SR.

Answer:

x = 68 degrees

Step-by-step explanation:

The right angle symbol tells us its 90 degrees.

90 degrees - 22 degrees = 68 degres

Answer:

x = 68 degrees

Step-by-step explanation:

It is given that this angle is a right angle. A right angle means that it is 90 degrees.

One part of the angle is 22 degrees so the other is labled x.

90 - 22 = 68 degrees

Therefore, x=68 degrees

4x2 - 3y2 - xy should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" originates from the Latin word "fraction," which means "to break." As the first society to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Assume X is the component that is absent.

As a result, the answer to the question is

(3x2 - 4y2 + 5xy + 20) - (X) = - x2 - y2 + 6xy + 20

To determine the value of X, let's change the words.

X is equal to (-x2 - y2 + 6xy + 20) = 3x2 - 4y2 + 5xy + 20.

X = 4x2 - 3y2 - xy X = 3x2 - 4y2 + 5xy + 20 + x2 + y2 - 6xy - 20

Thus, the expression that should be subtracted is 4x2 - 3y2 - xy.

Learn more about fractions;.

brainly.com/question/729654

#SPJ4

Answer:

a or 116

Step-by-step explanation:

First you solve the blue part which is 14*14=196. Then solve the green part 10*8=80. Subtract blue minus green. Which gives you 116.

Answer: To find the height of the goalpost, we can use the information provided in the problem and the concept of similar triangles. Since Violet is looking down at the mirror, the line of sight from her eyes to the top of the goalpost forms a right angle with the ground. This right angle creates two similar triangles, one between her eyes, the ground, and the top of the goalpost, and the other one between the mirror on the ground, the goalpost, and a point on the ground that is the same distance from the mirror as the top of the goalpost is from Violet's eyes.

Since similar triangles have the same angle measures, we can set up the following proportion:

(distance from mirror to point on the ground) / (distance from mirror to top of goalpost) = (distance from Violet's eyes to ground) / (height of goalpost)

We can now use the information provided in the problem to solve for the height of the goalpost.

(6.65+4.25)/x = 1.75 / H

x = (6.65+4.25) * (1.75/H)

Where x is the distance from mirror to top of the goalpost.

Substitute the known values and solve for H

H = 1.75*(6.65+4.25) / x = 1.75*10.9 / x

We know that x = 4.25, so

H = 1.75*10.9 / 4.25 = 4.093 m

The height of the football goalp

Step-by-step explanation:

Answer:

-5<=x<=5 or in other terms {-5, 5}

Answer:

-5 ≤ x ≤ 5 Step-by-step explanation: That's the answer the dot starts at the x value of -5 and continues to +5. THe x is in the middle because this is domain.

The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.

The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.

The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.

x,y = (-8,0) (-8,0)

or

x/y = -8/0

If there was an association between L and K, we would use x,y = 8,0.

Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."

Therefore, the answer is -8,0.

To learn more about distance between point refer to:

https://brainly.com/question/23848540

#SPJ1

Mai uses 10 ounces of cheese to make 4 pizzas, so she uses 10/4 = <<10/4=2.5>>2.5 ounces of cheese per pizza.

To make 15 pizzas, she will need 152.5 = <<152.5=37.5>>37.5 ounces of cheese.

Answer:

What is triangle ABC and what are the measures and what are the angles. Please provide enough information

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

to find the decimal equivalent, you have to divide 15 by 8 which would get you 1.875

On solving the question, sum of exterior angle is 360 degree. Hence, the value of x is 120°.

The exterior angle of a triangle is equal to the sum of its two opposite interior angles, according to the external angle theorem. Remember that the total external angle, measured from each vertex, is always 360°. Alternatively stated, d + e + f = 360°.The angle that is created between a triangle's extended side and one of its sides is known as the external angle. A triangle has a total of 360 degrees in its outside angles.

x + ( x+6) +114 = 360

2x = 240

x = 120

To know more about exterior angle visit:

brainly.com/question/2406986

#SPJ1

Answer:

B, C, D, and F are all possible.

Answer:

B, C, D

Step-by-step explanation:

1. A is not possible because right and obtuse both define triangle angles. An angle cannot be obtuse and right at the same time.

2. B is possible because a right triangle can have all sides of different length.

3. C is possible because a scalene triangle can have an obtuse angle.

4. D is possible because an isosceles triangle can have all acute angles.

5. E is not possible because of how equilateral triangles work. When a triangle is equilateral, it is also equiangular, meaning all of its angles are the same. The angles on every type of triangle always add up to 180 degrees. If a triangle is equiangular, the 180 degrees are divided evenly, with every angle being 60 degrees, which is acute. Therefore, an equilateral triangle cannot have a right angle.

6. F is not possible because isosceles and scalene both refer to the side lengths of triangles. A triangle cannot be isosceles and scalene at the same time.

7. G is not possible because equilateral triangles cannot have angles other than 60 degrees and therefore cannot be obtuse.

Answer:

c

Step-by-step explanation:

Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side

a doesn't work because 8+12=20 and 20 is not greater than 20

b doesn't work because 4+5=9 and 9<10

d doesn't work because 6+6=12 and 12 is not greater than 12

c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.

For example, for c,

6+8=14, and 14>10

8+10=18, and 18>6

10+6=16, and 16>8

Answer:

b

Step-by-step explanation:

The answer is B because you can automatically mark out C and D because the first two dimensions can't equal to the last one and A is out because 6 and 8 is greater than 10 so that answer wouldn't be correct either.

Answer:

What container is it. Is it cilyndrical or a prism ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.4 hours drive 240 miles, so the speed is 240÷4=60 miles per hour

b.1 days have 24 hours, then, it will go 60 ×24 = 1440 miles in 1 days

Answer:

1440

Step-by-step explanation:

240+4= 60

distance = rt

r= rate

t = time

IN ONE DAY

60 times 24= 1440

(24 for 24 hours)

Answer:

Step-by-step explanation: You can add all of these numbers with a calculator. but be sure what are the numbers telling you what to do. So always focus on the words that are going to mention about the numbers.

Answer:Subtract

8

from

−

16

.

−

24

≥

0

Step-by-step explanation:

Answer: Cylinder B has the greater volume

Step-by-step explanation:

Cylinder A= 147πinch cubed

Cylinder B=252π inch cubed

(if youre using savvas or something like that, use the pie symbol and it might work if youre having difficulties.)

Answer:

X=25

Step-by-step explanation:

Remove parentheses

7x - 5x - 40= 10

Merge the similar terms

2x - 40= 10

Constantly move to the right side and change characters

2x = 10 + 40

Addition

2x = 50

Divide both sides of the equation by 2

x = 25

The inequalities that represent the situation are 15x + 10y ≥ 400 and x + y ≤ 35 and the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)

From the question, we have the following parameters that can be used in our computation:

These parameters above mean that

15x + 10y = Total earnings

x + y = Number of hours

So, we have

15x + 10y ≥ 400

x + y ≤ 35

The above represent the inequalities of the situation

In (a), we have

15x + 10y ≥ 400

x + y ≤ 35

Next, we test the options

(10, 25)

15 * 10 + 10 * 25 ≥ 400 ⇒ 400 ≥ 400

10 + 25 ≤ 35 ⇒ 35 ≤ 35

True

(10, 20)

15 * 10 + 10 * 20 ≥ 400 ⇒ 350 ≥ 400

10 + 20 ≤ 35 ⇒ 30 ≤ 35

False

(20, 12)

15 * 20 + 10 * 12 ≥ 400 ⇒ 420 ≥ 400

20 + 12 ≤ 35 ⇒ 32 ≤ 35

True

(35, 0)

15 * 35 + 10 * 0 ≥ 400 ⇒ 525 ≥ 400

35 + 0 ≤ 35 ⇒ 35 ≤ 35

True

(20, 20)

15 * 20 + 10 * 20 ≥ 400 ⇒ 500 ≥ 400

20 + 20 ≤ 35 ⇒ 40 ≤ 35

False

Hence, the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

Since the side lengths of room B are double the side lengths of room A, the area of room B is four times the area of room A.

The number of tiles needed to cover a floor is equal to the area of the floor divided by the area of each tile.

Since the boxes of tiles are identical, the number of tiles in each box must also be identical.

Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.

To learn more about area visit:

https://brainly.com/question/27683633

#SPJ4

Answer:Mathematics2 minutes ago

+5 pts

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ? how?

Step-by-step explanation:

Answer:

74

Step-by-step explanation: