Use the following image to answer the questions below.​

Answer:

Step-by-step explanation:

If point T is on the line SU, then ST+TU = SU. Given  TU=4x+1, SU=8, and ST=3x

Substituting the given values into the expression ST+TU = SU

8 = 3x+4x+1

8 = 7x+1

collect like terms;

7x = 8-1

7x = 7

Divide through by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the expression TU = 4x+1 to get the length of TU

TU = 4(1)+1

TU = 4+1

TU = 5

Hence the length of TU is 5

Answer:

Step-by-step explanation: the answer is 5

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

Answer:

18/root(14)

Step-by-step explanation:

x=54

y=126

x/root(y)

54/root(126)

54/root(3x3x14)

54/3(root(14))

18/root(14)

Answer:

-5 degrees F

Step-by-step explanation:

Answer:

4x + 2 = 0

4x = -2

x = -1/2

if you need it simplified it already is

Answer:

first

|a+3|/2=1

|a+3|=1*2

|a+3|=2

a=2-3

so,a=-1

second

2|b+1|=6

|b+1|=6/2

|b+1|=3

b=3-1

so,b=2

now,|a+b|

= -1+2

= 1

therefore,|a+b|= 1

Answer:

true, theres nothing inside the parenthesis meaning that you remove it as a first step

Step-by-step explanation:

Answer:

h=4/5

Step-by-step explanation:

[tex]h + \frac{6}{5} = 2 [/tex]

Collect like terms and simplify

[tex]h = 2 - \frac{6}{5} \\ h = \frac{4}{5} [/tex]

Answer:

[tex]\huge\boxed{IJ = 9}[/tex]

Step-by-step explanation:

Given that J is on line segment IK.

So, it is like:

I______?_______J___6___K

|<--------------------15---------------->|

We know that:

IK = IJ + JK

Where IK = 15 and JK = 6

15 = IJ + 6

Subtracting 6 to both sides

IJ = 15 - 6

IJ = 9

Answer:dd

Step-by-step explanation:d

Answer:

The answer is $0.33 for 11 oz

Step-by-step explanation:

All you have to do is divide the oz by the price and A is the lowest.

Answer:

Step-by-step explanation:

-2y^2 + 6y - 1 + 4y^2 + 3y - 9

2y^2 + 9y - 10

Answer:  y = -8x + 9

Step-by-step explanation:

The slope intercept form formula says that y=mx +b  where m is the slope and b is the y-intercept so input  the value for m and b to write the equation.

Answer:

71º

Step-by-step explanation:

since it is a complementary angle equal 90 degrees total

so 90° - 19 = 71

Step-by-step explanation:

3x-4x>-1/2-5/8

-x>-9/8

x<9/8

Answer:

5 footballs were sold for every 2 basketballs sold.

Step-by-step explanation:

2.5 times as many football as basketball was sold last year

This can be represented as

1 basket ball sold = 2.5 footballs sold

for every 2 basketball sold, number of football sold = 2.5 x 2 = 5 footballs

Answer:

4.5

Explanation:

add up all the numbers and divide by the amount

Answer:

Point M

Step-by-step explanation:

Answer:

112 degrees

Step-by-step explanation:

Angle J and the other angle combines to form a straight angle. In other words, they must total 180 degrees. Thus:

[tex]68+j=180[/tex]

Subtract 68 from both sides:

[tex]j=112\textdegree[/tex]

And we're done!

Answer:

I believe the answer is 112 degrees

Step-by-step explanation:

If you know, a straight line hs 180 degrees. Well, then having this knowledge,  make a simple equation x+68=180.

Then Solve the equation

x+68=180

  -68  -68

x=112

Hope it helps!

Answer:

-1/125

Step-by-step explanation:

1/(-5)^3

evaluate

1/-125

Answer:

Step-by-step explanation:

Given:

[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]

To find:

The number of possible solutions, if the Order of Operations did not exist.

Solution:

We have,

[tex]4 + 9 + 16 \div 4 - 8 -3 \times  5[/tex]

Now,

Case 1:

[tex][4 + 9 + 16] \div [4 - 8 -(3 \times  5)]=29\div (4 - 8 -15)[/tex]

[tex]4 + 9 + 16 \div  4 - 8 -(3 \times  5)=-\dfrac{29}{19}[/tex]

Case 2:

[tex][4 + 9 + 16] \div  (4 - 8 -3) \times  5=29\div  (-7\times 5)[/tex]

[tex]4 + 9 + 16 \div  (4 - 8 -3) \times  5=-\dfrac{29}{35}[/tex]

Case 3:

[tex]4 + 9 + (16 \div 4) - 8 -(3 \times  5)=4+9+4-8-15[/tex]

[tex]4 + 9 + (16 \div 4) - 8 -(3 \times  5)=-6[/tex]

Many more possibilities are there.

Therefore, there are more than 3 possible solutions.

Answer:

D. $15,219.20

Step-by-step explanation:

given:

The automobile that he is interested in has a sticker price of $18,560.

If his discount is 18 percent,

find:

what is the price that Dao will pay?

solution:

sale price =   $18,560 - (0.18 x  $18,560) =  $15,219.20

therefore,

Dao will pay $15,219.20

the answer is D.

im taking the test right now..

Answer:

The square root of 4 is 2

Step-by-step explanation: If you multiply 2*2 it will equal and divide 4/2 you will get 2 so it is 2

Answer:

p = [tex]\frac{q}{3} - \frac{4r}{3}[/tex]

Step-by-step explanation:

Answer:

-10x + 28

Step-by-step explanation:

Step 1: Write expression

3 - 5(2x - 5)

Step 2: Distribute -5

3 - 10x + 25

Step 3: Combine like terms

-10x + 28

Answer:

= -10x+28

Step-by-step explanation:

15°c = 59°f

because :

(15 °C × 9/5) + 32 = 59 °F

===

so to the nearest tenth its doing 60°f

Answer:

-480

Step-by-step explanation:

(-5)(16)(-3)(-2) =

= (-80)(-3)(-2)

= (240)(-2)

= -480

Answer:

[tex]50(3x-y)[/tex]

Step-by-step explanation:

You just gave an expression, therefore:

[tex]50x+100x-50y[/tex]

[tex]150x-50y[/tex]

[tex]50(3x-y)[/tex]

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \, \;\; \;\; 150x+-50y $ } }\\[/tex]

Step-by-step explanation:

Let's simplify.

[tex]50x+100x-50y[/tex]

To solve this, we will have to combine the like terms.

[tex]50x+100x+-50y[/tex]

Let's add parenthesis.

[tex](50x+100x)+(-50y)[/tex]

This equals:

[tex]150x+-50y[/tex]

Hope this helps!

Answer:

Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Edg. 2020

Answer:Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Answer:

1. It is a reflection across the y axis, a rotation and a translation to the right and down.

2. A reflection across the x-axis, translation left 2 and down 1, with a 45 degree clockwise rotation.

3. An 180 degree reflection on line bc and a translation

Step-by-step explanation:

Case 1 involves translation and rotation.

Case 2 involves translation, rotation and reflection.

Case 3 involves translation and reflection.

In this question, we are going to describe succinctly all Steps needed to turn each Polygon P into respective Polygon Q:

Case 1:

(i) Translation along a Vector between Points A and H.

(ii) Rotation around Point H.

Case 2:

(i) Translation along a Vector between Points B and J.

(ii) Rotation around Point J.

(iii) Reflection with respect to a "vertical" Lines passing through Point J.

Case 3:

(i) Translation along a Vector between Points B and F.

(ii) Reflection with respect to a Line passing through Segment FD.

Please see this question related to Operations with Polygons: https://brainly.com/question/12091224