Triangle XYZ has sides XY=3”, YZ =4”, and XZ=5”. If angle Y is a right angle, and side YZ is opposite angle X , what is the tan of angle C ?

D. x < -2

(Divide 4 by -2 to isolate x)

Answer:

Part 1) The measure of the exterior angle is 128°

Part 2) The measure of angle x is 30°

part 3) The value of x is 25 units

Step-by-step explanation:

Part 1)

step 1

Find the measure of the third internal angle of the triangle

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

Let

c----> the measure of the third internal angle

42+(9x-4)°+c°=180°

c=180°-42°-9x+4°

c=142°-9x

step 2

Find the value of x

we know that

c+(12x+8)°=180° ----> by supplementary angles

substitute

142°-9x+(12x+8)°=180°

3x=30°

x=10°

step 3

Find the measure of the exterior angle

(12x+8)°=(12(10)+8)°=128°

Part 2) Find the value of x

The figure show a equilateral triangle ( has three equal internal angles and three equal sides)  and an isosceles triangle ( has two equal internal angles and two equal sides)

Remember that

The internal angles of a equilateral triangle is 60 degrees

so

The vertex angle of the isosceles triangle is equal to

180°-60°=120° ----> by supplementary angles

therefore

The base angle of the isosceles triangle is equal to

2x+120°=180°

2x=60°

x=30°

Part 3) we know that

if AB is a midsegment

then

(4x-10)/2=45

solve for x

4x-10=90

4x=100

x=25 units

Answer: option c

Step-by-step explanation:

You need to use this formula:

[tex]A=\frac{h}{2}(B+b)[/tex]

Where "h" is the height of the trapezoid, "B" is the larger base and "b" is the smaller base.

You know that:

[tex]B=16.8yd\\b=6.9yd\\h=2yd[/tex]

Then you need to substitute these values into the formula  [tex]A=\frac{h}{2}(B+b)[/tex].

Therefore, the area of this trapezoid is:

 [tex]A=\frac{2yd}{2}(16.8yd+6.9yd)[/tex]

 [tex]A=23.7yd^2[/tex]

Answer:

23.7 yd2

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

6 times 6 is 36

252/36 is seven which is h

The length of height of the box is 7 inches.

A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

Length of box = 6 in.

Width of box   = 6 in.

Volume of box = 252 square in.

Since the length and width of box are same,

Therefore its shape is cuboid.

We know that volume of cuboid = length x width x height

Therefore,

Height of the box = volume/(length x width)

                             = 252/(6x6)

                             = 7 in.

Hence, the required height = 7in.

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Answer:

Step-by-step explanation:

Put the coordinates of the points to the equation, and check it:

(-4, -1) → x= -4, y = -1

L = -5(-4) - 3(-1) =20 + 3 = 23

R = 22

L ≠ R

(-1, -4) → x= -1, y = -4

L = -5(-1) - 3(-4) = 5 + 12 = 17

R = 22

L ≠ R

(-2, -4) → x= -2, y = -4

L = -5(-2) - 3(-4) = 10 + 12 = 22

R = 22

L = R    CORRECT :)

(-4, -2) → x = -4, y = -2

L = -5(-4) - 3(-2) = 20 + 6 = 26

R = 22

L ≠ R

answer-

he should mix 16lbs of the 7.80 mix and 8lbs of the 11.40 mix

Step-by-step explanation:

hope this helps:) btw im a student at rsm and i got this for homework so ya. your welcome also, ik the answers wrong ...s i g h...

Answer:

The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.

Step-by-step explanation:

A merchant wants to blend 80 pounds of cacao worth $9.00 a pound from two kinds: one at $11.40 a pound and the other at $7.80 a pound.

Let the number of pounds of cheaper cacao be x

Let the number of pounds of costlier cacao be y

The merchant wants total pounds = 80

So, first equation becomes:

[tex]x+y=80[/tex] or [tex]x=80-y[/tex]

Now values of per pounds become [tex]7.80x[/tex] and [tex]11.40y[/tex]

As the merchant wants the mixture worth $9 so second equation becomes:

[tex]7.80x+11.40y=9(80)[/tex]

=> [tex]7.80x+11.40y=720[/tex]

Substituting [tex]x=80-y[/tex] in second equation, we get

[tex]7.80(80-y)+11.40y=720[/tex]

=> [tex]624-7.80y+11.40y=720[/tex]

=> [tex]3.60y=96[/tex]

[tex]y=26.67[/tex] pounds

We know, [tex]x=80-y[/tex]

=> [tex]x=53.33[/tex] pounds

So, The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.

We can check this:

[tex]53.33(7.80)+26.67(11.40)=720.012[/tex] dollars

I'm not going to give you the answer but I'll help you.

Step-by-step explanation:

Start by writing down your thoughts down and then form them into a paragraph.

- Write down your opinion of what classic is

- Give 3 traits/characteristics that makes that thing classic (high-quality, timeless, aged, eternal, original etc.)

- Then write down whether or not you think your definition of classic is different from the googled definition

Answer:

8 posts.

Step-by-step explanation:

There are  7 lengths of  7 feet in 49 feet.

That is 7 posts but there is a post at each end so the number required = 7 + 1 = 8 posts.

Answer:

w/5 ≥ 25

Step-by-step explanation:

Quotient means division

w/5

is at least means great than or equal to

w/5 ≥ 25

D, because everything in front of the x is the slope and everything after the x is the y- intercept

Answer:

The correct answer is (D) slope=-3 and y-intercept=-2

Step-by-step explanation:

Answer:

[tex](x-1)^{2} + (y-2)^{2}[/tex][tex]=9[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex] in which (h,k) is the center of the circle and r is the radius of the circle. (x,y) can represent any point on the circle but when the equation is written standardly, it is left as (x,y).

Because (1,2) is (h,k) it will be inputted as:

[tex](x-1)^{2} + (y-2)^{2}[/tex]

The radius is 3 but in the equation it must be squared.

3 x 3 is 9, so the full equation is:

[tex](x-1)^{2} + (y-2)^{2}[/tex][tex]=9[/tex]

Answer:

(x-1)^2+(y+2)^2=9

Step-by-step explanation:

Answer:

[tex]t= 6\ s[/tex]

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is [tex]h(t) = -16t ^ 2 + 80t + 96[/tex].

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be [tex]h(t) = 0[/tex].

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

[tex]-16t ^ 2 + 80t + 96 = 0[/tex]

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

[tex]at^2 +bt +c[/tex]

The quadratic formula is:

[tex]t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]

In this case

[tex]a =-16\\b = 80\\c =96[/tex]

Then

[tex]t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}[/tex]

[tex]t_1=-1\\\\t_2=6[/tex]

We take the positive solution

[tex]t= 6\ s[/tex]

Answer:

After 5 seconds

Step-by-step explanation:

Have a great day

That would be angle 2. It is on the opposite of angle 7 and it is inside the two parallel lines

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x=1, y=-1

Step-by-step explanation:

i hope im right sorry if im not >.<

Answer:

see explanation

Step-by-step explanation:

Given

x² - 6x + 7 = - 13

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + (- 3)² + 7 = - 13 + (- 3)²

x² - 6x + 9 + 7 = - 13 + 9

(x - 3)² + 7 = - 4

Answer:

x^2 - 6x+ __9__= -13 + __9__

Step-by-step explanation:

e2020

Answer:

a:36

Step-by-step explanation: because (2+1) is in parentheses, you solve that first. 2+1=3 and 3x12=36

hope this helps!

Answer:

36

Step-by-step explanation:

This is beause 2+1 is 3 and 3 muliplied by 12 is 36 which is A

Answer: 132

Step-by-step explanation:

There are three different things to choose from: size, flavors, and toppings

3 kinds of sizes x 11 kinds of flavors x 4 kinds of toppings

= 3x11x4

= 12x11

= 132

Answer:

MsEHolt Brainly Teacher

The y-coordinate of the solution is 11.

Both equations have y isolated.  We will use substitution for this system:

5x-9=x²-3x+7

We want to gather all of the variables on one side, so we will subtract 5x from each side:

5x-9-5x=x²-3x+7-5x

-9=x²-8x+7

We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:

-9+9=x²-8x+7+9

0=x²-8x+16

This is easy to factor; factors of 16 that sum to -8 are -4 and -4:

0=(x-4)(x-4)

Since these are the same factor, we solve it to get our answer:

x-4=0

x-4+4=0+4

x=4

Substitute this into the first, linear, equation:

y=5(4)-9=20-9=11

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Step-by-step explanation:

i copied and psted by the way its a forum

Answer:

(4, 11)

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x² - 3x + 7 → (2)

Substitute y = x² - 3x + 7 into (1)

x² - 3x + 7 = 5x - 9 ( subtract 5x - 9 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (1) for corresponding value of y

y = (5 × 4) - 9 = 20 - 9 = 11

Solution is (4, 11)

Answer:

13

Step-by-step explanation:

the quadratic formula will be used to solve the equation x²-3x-1=0

x = -b±√b²-4ac

          2a

b= -3, a= 1, c= -1

x =   --3±√3²-4*1*-1

             2*1

x =  3±√9+4

          2

x =  3±√13

         2

x₁ = 3 + √13

        2

x₂ = 3 - √13

          2

x₁² + x₂² - 2x₁x₂

22 + 6√13 + 22 - 6√13   + 2

     4                    4

22 + 6√13 + 22 - 6√13 + 8   = 52/4 =13

        4

It should be 44ft high

For this case we have that the height of the stack of sheets is given by the number of sheets multiplied by the thickness of each. That is to say:

[tex]\frac {3} {16} * 14 = \frac {14 * 3} {16} = \frac {42} {16} = \frac {21} {8} = 2.625[/tex]

Thus, the height of the stack is 2,625 inches

Answer:

2.625 inches

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=x^2-4&(1)\\y=-2x-5&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\x^2-4=-2x-5\qquad\text{add}\ 2x\ \text{and 5 to both sides}\\\\x^2+2x+1=0\\\\x^2+x+x+1=0\\\\x(x+1)+1(x+1)=0\\\\(x+1)(x+1)=0\\\\(x+1)^2=0\iff x+1=0\qquad\text{subtract 1 from both sides}\\\\x=-1\\\\\text{put the value of}\ x\ \text{to}\ (2):\\\\y=-2(-1)-5\\\\y=2-5\\\\y=-3[/tex]

Answer: Hello there!

The system of equation given is:

y = x^2-4

y = -2x-5

And we want to solve this system:

the first step we can do is replace y in the first equation by the given in the second equation:

y = x^2-4 = -2x - 5

now we can solve it for x:

x^2-4 +2x + 5 = 0

x^2 +2x + 1 = 0

and now we can use the cuadratic equation forumla:

this is, if we have a function of the form:

ax^2 + bx + c = 0

the solutions are:

[tex]x = \frac{-b +/- \sqrt{b^2 -4ac} }{2a}[/tex]

in our equation we have a=1, b = 2 and c= 1

we replace it in the formula given, and we obtain:

[tex]x = \frac{-2 +/- \sqrt{2^2 -4*(1)} }{2} = \frac{-2 +/- \sqrt{4 - 4} }{2} = -2/2 = -1[/tex]

Now we got the value of x, and we could replace it in one of the equations and get the value of y:

y = -2x-5

y = -2*(-1) - 5 = 2 -5 = -3

then the pair is (-1, -3)

and the correct option is D.

Answer: I can help you with the first one.

Step-by-step explanation:

First, here is the formula D=(x2-x1)2+ (y2-y1)2 so you would plug the numbers in and get D= (0-(-3))^2)+(7-2)^2 now you would solve that and get 34 now you find the square root of 34 is the answer is 5.8

Hope that helps                  

Answer:

Craig earns $1,200 each month

Explanation:

We are given that Craig pays a total of $720 each year for his telephone service

We also know that a year has 12 months

This means that:

Craig pays [tex]\frac{720}{12}= 60[/tex] dollars each month for his telephone services

We are given that the monthly phone bill is [tex]\frac{1}{20}[/tex] of his monthly earnings

Assume that his monthly payment is x

We have:

[tex]\frac{1}{20}x = PhoneBill\\ \\ \frac{1}{20}x = 60\\ \\   x=60*20 = 1200[/tex] dollars

Hope this helps :)

Craig earns about $1200 each month and pays a total of $720 each year for his telephone service.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount earned each month

Hence:

(1/20)x * 12 months = 720

x = 1200

Craig earns about $1200 each month and pays a total of $720 each year for his telephone service.

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-4 is the slope........

Answer:

4

Step-by-step explanation:

To find slope, we will rewrite this equation into slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept,

- 4x + y = -1

+ 4x         +4x

y= -1 + 4x

y=4x - 1

ANSWER

See below

EXPLANATION

The given functions are:

[tex]g(x) = {x}^{2} [/tex]

and

[tex]h(x) = - {x}^{2} [/tex]

The following statements are true;

h(x) is the reflection of g(x) in the x-axis.

g(x) opens upwards while h(x) opens downwards

Both functions have their vertex and intercepts at the origin.

The x-axis is a tangent to both functions at x=0.

g(x) has a minimum point

h(x) has a maximum point.

Answer:

For any value of x, g(x) will always be greater than h(x).

For any value of x, h(x) will always be greater than g(x).

g(x) > h(x) for x = -1. TRUE

g(x) < h(x) for x = 3.

For positive values of x, g(x) > h(x). TRUE

For negative values of x, g(x) > h(x). TRUE

Step-by-step explanation:

answer on edge

Density should be the answer

Answer:

Density

Step-by-step explanation:

Density is the mass of a substance per unit volume. Volume is the amount of space an object occupies.

The answer is $0.60.

Calculate the mean of the first week

Calculate the mean of the second week

Subtract the mean for the first from the mean of the second week.

Answer:0.063

Step-by-step explanation:

All I did was multiply 6.3 by 0.01 and I got 0.063.

Answer:

f^-1(x) = {4,3), (3,4), (6,-2)}

Step-by-step explanation:

To find the inverse of the function, exchange the x and the y

f(x) = {(3, 4), (4, 3), (-2, 6)}

f^-1(x) = {4,3), (3,4), (6,-2)}