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Using the order of the letters in the triangles find the corresponding sides:

BL is similar to JF

LT is similar to KF

BT is similar to JK

Find the scale between LT and KF

9/12 = 3/4

The smaller triangle is 3/4 the size of the lager one.

This means BT = 3/4(JK) = 3/4(4) = 3

So x = 3, so side BL = 2x = 2(3) = 6

Now to solve for y:

BL is 3/4(JF)

6 = 3/4(y)

Solve for y by dividing both sides by 3/4

Y = 6/(3/4)

Y = 8

X = 3, y = 8

Answer:

B stu goofy jr out

Step-by-step explanation:

i took the stu goofy jr test

Answer:

true negative ×negative =positive

Answer:

True

Step-by-step explanation:

n= negative

p= positive

n*n=p

p*p=p

n*p=n

Answer:

57709

Step-by-step explanation:

Answer:

y=2x+1

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Rearrange 2x+3y=15 by subtracting 2x by both sides. Dividing 3y by both sides.

1⇒[tex]2x-2x+3y=15-2x[/tex]

2⇒[tex]\frac{3y=15-2x}{3y}[/tex]

[tex]y=5-\frac{2}{3} x[/tex]

We know this slope is negative. Meaning for the perpendicular crossing to work, it must have a positive slope. We know that 3=(1*M)+B. Perpendicular lines will have slopes that are negative reciprocals of one another.

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We know the slope must be between 1 and 3. We know the base must be between 1 and 3.

Using the slope formula y-y/x-x

[tex]\frac{5-3}{0-1} \\ m=2[/tex]

Answer:

The school can build 2640 clasrooms theorethicly that are 4 feet apart,

but if each clasroom is next to another one that means it is separated by 2 walls then it would be 1320 classrooms

Step-by-step explanation:

2 x 5280 = 10560

10560/4 = 2640

And if the clasroom on each side has to be seperated by walls then

10560 /8= 1320

Answer:

i x 2 x5,280

Step-by-step explanation:

10564

Answer:

y = 2/3x + 3 2/3

Step-by-step explanation:

slope intercept form: y = mx + b

isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

Answer: B. False

Step-by-step explanation:

A polygon is a closed figure whose sides are all line segments. A Polygon cannot have curved sides. And Quadrilaterals have four sides closed . all quadrilaterals are polygon but all polygons are not quadrilateral.

Answer:

Step-by-step explanation:

Trigonomos used tangent to solve it.

Let the width of the river is w.

Let that be x

Answer:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

Answer:

Y is an Exponent, and 6 is an integer

Step-by-step explanation:

Answer:

8.58cm

Step-by-step explanation:

Since tanθ = opp/adj,

tan43 = 8/x

x = 8/tan43

= 8/0.93251508

= 8.57894973666

≈ 8.58

Answer:

11.22 to the nearest tenth is 11.2

2.633 to the nearest tenth is 2.6

if you add them together to the nearest tenth it is 13.9

if you add them together when they're already at the nearest tenth it is 13.8

Step-by-step explanation:

Answer:

<U = 30

Step-by-step explanation:

Since the triangles are similar

<F = <T

<G = <U

< H = <V

We are told that <G = 30 so < U = 30

Answer:

30°

Step-by-step explanation:

∠G corresponds to ∠U

if ∠G is 30° then so is ∠U

Answer:

For the First

From SOHCAHTOA

Sin64 = x/9

x=9sin64

x=8.089

To the nearest Hundredth

x=8.09.

2nd.

Sin43=x/10

x=10sin43

x=6.8199

To the nearest hundredth

x= 6.82.

Answer:

1st - 36

2nd - 57

Step-by-step explanation:

take 180 degrees (total degree of triangle) and subtract it from the 90 degree angle, and the number of the other given angle

hope this helped

Answer:

86.21

Step-by-step explanation:

simple math you just add it all up then figure the percentage of 75 out of 87

Answer:

x = 0

x = 1/2

Step-by-step explanation:

4x(2x-1) = 0

4x = 0

x = 0

2x-1 = 0

2x = 1

x = 1/2

Answer:

Step-by-step explanation:

8[tex]x^{2}[/tex]-4x=0

4x(x-1)=0

either 4x=0                   Or, x-1=0

x=0/4                                     x=0+1

x=0                                         x=1    

Answer:

2

Step-by-step explanation:

.....................

Answer:

The options are not given, so I will answer in a general way:

A quadratic equation can be written, in general form, as:

y = a*x^2 + b*x + c

Then if we want this, we need to replace:

a = 1

b = -3

c = -5

Then the equation that we want is:

y = x^2 - 3*x - 5

Is likely that the options are in the factorized way to write a quadratic equation (so it is kinda harder to you)

Such that the factorized way is written as:

y = (x - k)*(x - h)

where k and h are the roots of the quadratic equation.

So you just need to expand that expression and find the one that looks like:

y = x^2 - 3*x - 5

Just to be complete, let's find the factorized form of this particular quadratic equation.

The roots are given by:

0 = x^2 - 3*x - 5

And the two solutions are given by Bhaskara's formula:

[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*1*(-5)} }{2*1} = \frac{3 \pm 5.39}{2}[/tex]

The two roots are:

h = (3 + 5.39)/2 = 4.195

k = (3 - 5.39)/2 = -1.195

Then the factorized form is:

y = (x - 4.195)*(x + 1.195)

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1

ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

f(0.75) = 1.125

d) the equation for the line of symmetry is x = 0.75

Answer:

y = 5/8x + 17/4

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - 8 / -2 - 6

5/8

y = 5/8x + b

3 = 5/8(-2) + b

3 = -5/4 + b

17/4 = b

Answer:

23/4

Step-by-step explanation:

Answer:

y=4x/3+17

Step-by-step explanation:

4/3=y-5/x+9

y=4x/3+17

The equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

We have a line that passes through the point (-9,5) and has a slope of

4/3.

The point slope form is given by -

(y - y₁) = m(x - x₁)    

Now, we can write the equation as -

(y - 5) = (4/3)(x + 9)

Therefore, the equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer:

we will write 972 in standard form

Step-by-step explanation:

Standard form of a given number 972 is equals to 9.72 × 10².

" Standard form is defined as the mathematical expression, number, any equation , quantity with certain rules defined for it."

According to the question,

Given number = 972

Standard form of writing a number is

Given number should be express as a decimal number between 1.0 to 10.0

multiply by power of 10.

Standard form of 972 =  9.72 × 10²

Hence , standard form of a given number 972 is equals to 9.72 × 10².

Learn more about standard form here

https://brainly.com/question/26162664

#SPJ3

Answer: 17

Step-by-step explanation:

Answer:

B) 17

Step-by-step explanation:

Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.

Answer:

a) Parabola opens up

b) 6

c) -3/2 and -2

Step-by-step explanation:

a) The general form of a parabolic graph is;

y = ax^2 + bx + c

if a is positive, it faces up, if negative, it opens down

Since a = 2 here, it is positive and thus the parabola faces or opens up

b) The y-intercept is simply the c term

the value here is 6

The y intercept is obtained when the x value is zero

So by simply setting the x value to zero, we can easily get the y value since x is zero at that point

c) The x-intercepts refer to the roots of the equation

By solving the quadratic equation i.e substituting 0 for y, we can get the two x values as follows;

2x^2 + 7x + 6 = 0

2x^2 + 4x + 3x + 6 = 0

2x(x + 2) + 3(x + 2) = 0

(2x + 3)(x + 2) = 0

2x + 3 = 0 or x + 2 = 0

2x = -3 or x = -2

x = -3/2 or x = -2

Answer:

ummmmmm....post the pic at least

Answer:

36

Step-by-step explanation:

4 x (2 + 7) = 36

Answer:

here is a table sorry i know it is not a graph

Step-by-step explanation:

to put on a graph simply, for example, move 1 right then go 4 up to complete 1,4

x y

1 4

2 6

3 8

4 10

5 12

Hope this helps <3