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Are the two triangles similar? If so, state the reason and the similarity statement.
Question 1 options:

A)

Yes; AA; ΔIGF ∼ ΔMNL

B)

Yes; SAS; ΔIGF ∼ ΔMNL

C)

Impossible to determine.

D)

The triangles are not similar.

Answer:

5

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.

x + y = 17

x - y = 7

We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x

2x = 24          

x = 12              (Divide both sides by 2)

Now that we know the value of x, we can substitute it into one of our original equations to solve for y.

12 + y = 17      

y = 5                (Subtract 12 from both sides)

So, the smaller number is 5.

Answer:

x=5

Step-by-step explanation:

3x+20 = 10x -15 (vert.opp ∠'s equal)

3x - 10x = - 15 - 20

-7x = -35

x= - 35/-7

x= 5

9514 1404 393

Answer:

  A.  One

Step-by-step explanation:

Descarte's rule of signs is used to answer this question. The signs of the coefficients are ...

  + + + -

There is one sign change, hence one positive real root.

Answer:

1.5 kg

Step-by-step explanation:

17*92 g = 1564

1564/1000= 1.564 kg

Answer:

1.75kg

Step-by-step explanation:

If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much

17 x 92 = 1564

1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg

Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.

Step-by-step explanation:

Answer:

Add all given lengths:

Step-by-step explanation:

6 + 10 = 16 + 4 = 20 + 15 = 35

Answer: 1

Step-by-step explanation:

Rule of thumb:

Anything to the POWER OF 0 will Always be 1

12^0=1

Answer:

The real answer is y=5

Step-by-step explanation:

because its horizontal

y=5  represents a line which is perpendicular to the y-axis

A line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects

We need to find the equation which  represents a line that is perpendicular to the y-axis

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In the given options

x=-6

y=x-4

y=5

and x=-2y

The only horizontal line is y=5

Hence, y=5  represents a line which is perpendicular to the y-axis

To learn more on Straight lines click:

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Answer: Can you tell me how do you want it answered?

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

-2x+6+6=-x-5

-2x+x=-5-6-6

-x=-17

x=17

Given:

The function is

[tex]f(x)=4x+9[/tex]

Domain = {-4, -2, 0, 2}

To find:

The range of the given function for the given domain.

Solution:

We know that domain is the set of input values and range is the set  of output values.

We have, [tex]f(x)=4x+9[/tex] and domain = {-4, -2, 0, 2}.

Putting x=-4 in the given function, we get

[tex]f(-4)=4(-4)+9[/tex]

[tex]f(-4)=-16+9[/tex]

[tex]f(-4)=-7[/tex]

Putting x=-2 in the given function, we get

[tex]f(-2)=4(-2)+9[/tex]

[tex]f(-2)=-8+9[/tex]

[tex]f(-2)=1[/tex]

Putting x=0 in the given function, we get

[tex]f(0)=4(0)+9[/tex]

[tex]f(0)=0+9[/tex]

[tex]f(0)=9[/tex]

Putting x=2 in the given function, we get

[tex]f(2)=4(2)+9[/tex]

[tex]f(2)=8+9[/tex]

[tex]f(2)=17[/tex]

The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.

Therefore, the correct option is D.

=========================================================

Explanation:

A diagram is optional, but I find it helps sometimes. The diagram is shown below.

Opposite the 10 degree angle is h. So we consider h the opposite side.

The hypotenuse is 12. The hypotenuse is always opposite the 90 degree angle.

Apply the sine ratio to solve for h

sin(angle) = opposite/hypotenuse

sin(10) = h/12

12*sin(10) = h

h = 12*sin(10)

h = 2.08377813200317 which is approximate

h = 2.1 miles is the plane's altitude which is also approximate

Side note: 2.1 miles is equal to 11,088 feet (multiply by 5280 to convert from miles to feet).

Answer:

I don't see how you can get a solution.

Step-by-step explanation:

You cannot factor or evaluate that problem with values for x or g(x)

Answer: if this uses the Pythagorean theorem then it’s the square root of 83.24

Step-by-step explanation: the formula is a^2+b^2=c^2 the hypotenuse is c^2

Step-by-step explanation:

put some x values into the equation

i.e :     -2, -1, 0 ,1 ,2

3/5 (-2) +2 = 4/5      (-2, 4/5)

3/5 (-1) +2 = 7/5        (-1, 7/5)

3/5 (0) +2 = 2           (0, 2)

3/5 (1) +2 = 2.6           (1, 2.6)

3/5 (2) +2= 3.2          (2, 3.2)

Then plot these on the graph as corodinates with the x values  

Answer:

Area of square = Composite Area - Area of Triangle

                         =    32.5  - 7.5  = 25

Area of square = 25 square feet.

Formula for area of square = s²

s²  = 25

s = √25

s = 5

Length of each side of square = 5 feet.

Question:

A composite figure is formed by combining a square and a triangle. Its total area is 31.5 ft2. The area of the triangle is 15.5 ft2. What is the length of each side of the square? Complete the explanation.

Answer:

The area of the square is  16 ft², so each side of the square is  4 ft.

Answer:

Gusion = 2years

Lesley= 40years

Step-by-step explanation:

Let Guison age be x

Let Lesley age be y

If the sum of the ages of Gusion and Lesley is 42, then;

x+ y =42 ... 1

Four years ago

Guison age = x - 4

Lesley age = y - 4

If four years ago, Gusion was twice as old as Lesley, then;

x - 4 = 2(y-4)

x - 4 = 2y - 9

x - 2y = -9+4

x - 2y = -5 .... 2

Substract 1 from 2;

y + 2y = 1+5

3y = 6

y = 2

From 1;

x = 42 - y

x = 42-2

x = 40

Hence present age pf Guison is 2 years

Present age of Lesley is 40 years

Answer:

2012 - 9 = 2003

Step-by-step explanation:

2011. (2012 - 9 = 2003). 2013

2015 ( 2012 - 0 = 2012 )

Answer:

8.2013

Step-by-step explanation:

Answer:

Y = 3x + 1

Y = 3x - 1

Step-by-step explanation:

A system of equations will have no solution if the lines are parallel to each other. Two lines are parallel when they have the same slope. All of your given equations are in the slope-intercept form. Recall the slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. Therefore, the two equations would be Y = 3x + 1 and Y = 3x - 1, which both have a slope of m=3.

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,

∠BAC + y + z = 180°          ...1

The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,

∠BAC + x = 180°        ...2

From equations 1 and 2, then we have

∠BAC + y + z = ∠BAC + x

y + z = x

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

More about the triangle link is given below.

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Answer:

7

Step-by-step explanation:

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²

Answer:

98.6%

Step-by-step explanation:

789/800 multiplication 100% then got the answer

Answer:

v = 22

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BI}{MO}[/tex] = [tex]\frac{BG}{MP}[/tex] , substitute values

[tex]\frac{v}{33}[/tex] = [tex]\frac{64}{96}[/tex] ( cross- multiply )

96v = 2112 ( divide both sides by 96 )

v = 22

Answer:

B

Step-by-step explanation:

The hight compared to the volume should be less hight but more volume

Answer:

15,000

Step-by-step explanation:

initial amount is basically the starting amount