Identify the three similar triangles in the figure. Be sure to name the vertices in the correct order
(Please help)

Answer:

Step-by-step explanation:

Standard form: Ax + By = C

State whether each equation is in standard form.

A.) 3x + y = 8 (in standard form)

B.) x - y = 15z (not in standard form, because it has a variable(15z))

C.) x^2 + y = 11 (not in standard form, this is not a linear equation)

D.) 3xy + y^2 = 4 (not in standard form, this is not a linear equation)

E.) x + 4y = 12 (in standard form)

F.) 5x + 24y = 544 (in standard form)

Hope this helps!

Answer:

I believe it would be 73.8 or if they are rounding up 74.

Step-by-step explanation:

15% of 60 is *9* and 8% of 60 is *4.8*

9+4.8=13.8

13.8+60=73.8.

Step-by-step explanation:

slope -4

equation of line = (y-y1)=m(x-x1)

eq. = (y-1)= -4(x-1)

y-1=-4x+4

slope of this line is -4x

Answer:

E= -4,5

F=3,-2

Step-by-step explanation:

i think that's correct sorry if not

Answer:

a. 12 inches for the shorter side

b. 1050 bushels apples

c. 7/8 cups

Step-by-step explanation:

You can solve these all by the butterfly method(aka cross multiplication)

The vertices of the hyperbola are the x-intercepts of the hyperbola

The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

The equation of a hyperbola is represented as:

[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]

The vertices are (20,0) and (-20,0).

So, the center of the hyperbola is:

(h,k) = (0,0).

Also, we have:

a = 20

This gives

[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]

Evaluate

[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]

Substitute 20 for a

[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]

The length of the conjugate axis is:

l = 18 units

So, we have:

[tex]b = \frac{18}2 = 9[/tex]

The equation becomes:

[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Read more about hyperbola at:

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The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

Perimeter = 2(length + width).

The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.

Given the following:

Plug the values into Perimeter = 2(length + width):

Perimeter of the rectangular garden = 2(42 + 84)

Perimeter of the rectangular garden = 252 ft

Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

Learn more about perimeter of rectangle on:

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Answer:

Domain: (-∞, -5) ∪ (-1, ∞)

Step-by-step explanation:

Note:

For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.

For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.

We need to find the domain of f(x) for which f(x) < 0

From the graph, we can tell:

f(x) < 0 on (-∞, -5) ∪ (-1, ∞)

Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)

True:

   Area of trapezoid = [tex]\frac{1}{2}(b1 + b2) * h[/tex]

Hope that helps!

Answer:

20

Step-by-step explanation:

100/5=20

The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function

[tex]\rm C(m) = 0.05\ m + 20[/tex]

The domain of the function is from zero to infinity because time can never be negative.

Then the range of the function will be

At m = 0, the value of C(m) will be

C(m) = 0.05(0) + 20

C(m) = 20

At m = ∞, the value of C(m) will be

C(m) = 0.05(∞) + 20

C(m) = ∞

Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).

More about the linear system link is given below.

https://brainly.com/question/20379472

Applying the expression for the circumference of circle, we found the diameter as 16.86 yards

Given Data

Let us apply the expression for the circumference of a circle

Circumference = 2πr----------1

But r = d/2

hence put r = d/2 in the expression above

Circumference = 2πd/2----------2

Circumference = πd

Substitute our given data

53 = 3.142*d

Make d the subject of formula we have

d = 53/3.142

d = 16.86 yards

Learn more about mensuration of shapes here:

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This equation is False.

5/6-(2/3-4/9) = 11/18

(5/6-2/3)-4 = -23/6

Showing two different answers, so no they are not equal.

Answer:

40.2

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]

[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]

[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]

8x^5 y^8 z^9 ur welcome

Answer:

[tex]64x^6y^{12}z^{14}[/tex]

Step-by-step explanation:

[tex]\left(8x^3y^6z^7\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]

[tex]\left(8x^3y^6z^7\right)^2=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]8^2=64[/tex]

[tex]=64\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]=64x^6\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]=64x^6y^{12}\left(z^7\right)^2[/tex]

[tex]=64x^6y^{12}z^{14}[/tex]

~lenvy~

Answer:

2.4 hour is  10%

Step-by-step explanation:

Because 10% is equal to 0.1 24÷ 10% =2.4

Answer:

5.025m

Step-by-step explanation:

The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.

We can use the pythagorean theorem to find the length of the clothesline.

5 squared +.5 squared= the length of the clothesline squared

25+.25= the square root of 25.25

= 5.025

Answer:

Your answer would be:
5.025m

Step-by-step explanation:

5 sq + 0.5sq = the length of the clothesline sq

25 + 0.25= the square root of 25.25

= 5.025m



Have a great rest of your day
#TheWizzer

Answer:

choice A is correct

Step-by-step explanation:

the value of x should be 75

-6

Step-by-step explanation:

First we see 3 is greater than the subject so 3<x 3-9 = -6

[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}[/tex]

c=9 makes the given expression a perfect square trinomial.

The given expression is:

[tex]x^{2} +6x+c[/tex]

We can rewrite it as:

[tex]x^{2} +2*x*3 + c[/tex].....(1)

The expansion of [tex](a+b)^2[/tex] is [tex]a^{2} +2ab+b^{2}[/tex]

Comparing (1) with [tex]a^{2} +2ab+b^{2}[/tex]

We get

a=x

b=3

c=b²

So, c=3² =9.

So, c=9 makes the given expression a perfect square trinomial.

Hence,  c=9 makes the given expression a perfect square trinomial.

To get more about polynomials visit:

https://brainly.com/question/2833285

Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.

Hey there!

Answer:

The length of river D is 2550

length of river C is 2550+500=3050

Step-by-step explanation:

Let the river D be 'x'

and the river C is (x+500)

x + x + 500 = 5600

2x + 500 = 5600

2x = 5600 - 500

2x = 5100

x = 5100/2

x = 2550

The length of river D is 2550

length of river C is 2550+500=3050

Answer:

x = 49º

Step-by-step explanation:

This is  right angle, and right angle's are always a 90º angle. 90º - 41º is 49.

So the basic answer is 49, but it's properly written as "49º".

Hope this helps!!

The value of x: 49 degrees

Note: All the angles in a triangle add up to 180 degrees

What we're given:

41 degrees, A right angle, and x.

A right angle is 90 degrees.

Equation:

41 + 90 + x = 180

131 + x = 180

x = 49 degrees

Answer:

Perimeter=25

Step-by-step explanation:

HOPE THIS HELPS YOU

Answer:

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The given expression can be solved as shown below.

(2,3) - 3(1,1)

Multiply 3 in the second vector,

= (2,3) - (3,3)

Subtracting vectors

= (2-3, 3-3)

= (-1, 0)

Hence, the value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).

Learn more about Expression:

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Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.