Point T is on line segment \overline{SU} SU . Given SU=4x+1,SU=4x+1, TU=3x,TU=3x, and ST=3x-1,ST=3x−1, determine the numerical length of \overline{SU}. SU

Answers

Answer 1

Answer:

The numerical length of SU =

5 units

Step-by-step explanation:

Here, we want to get the length of point SU

mathematically;

SU = ST + TU

4x + 1 = 3x -1 + 3x

4x + 1 = 6x - 1

6x-4x = 1 + 1

2x = 2

x =2/2 = 1

But SU = 4x + 1 = 4(1) + 1 = 5 units

Answer 2

Answer:

10

Step-by-step explanation:

DeltaMth answer 2021


Related Questions

0.03460 as a fraction.

Answers

Answer:

173/5000

Step-by-step explanation:

Tell me if correct

Answer:

91/2500

Step-by-step explanation:

Step 1:

0.03460/1

Step 2:

0.346/10

Step 3:

3.46/100

Step 4:

34.6/1000

Step 5:

346/10000

Answer:

91/2500

Hope This Helps :)

5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}

Answers

Answer:

29.

Step-by-step explanation:

The given expression is

[tex]5+2[(48-40)\div 4+(2\times 5)][/tex]

BODMAS = Bracket, Of, Division, Multiplication, Addition, and Subtraction.

Using BODMAS, we get

[tex]5+2[(8)\div 4+(10)][/tex]         (Brackets)

[tex]5+2[2+10][/tex]                  (Division)

[tex]5+2[12][/tex]               (Brackets)

[tex]5+24[/tex]                 (Multiplication)

[tex]29[/tex]           (Addition)

Therefore, the value of given expression is 29.

4. A marathon is 42.195 km, how many miles is this

Answers

42.195 km = 26.219 miles

Answer:

26.2244 mi

Step-by-step explanation:

Step 1: Find conversion

1 mi = 1.609 km

Step 2: Use Dimensional Analysis

[tex]42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )[/tex]

26.2244 mi

Find the distance d(A,B) between points A and B.
A(7-5); B(7,5)

Answer: d(A,B)=

Simplify your answer. Type an exact answer...

Answers

Answer:

The answer is 10 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(7-5); B(7,5)

The distance between them is

[tex]d = \sqrt{ ({7 - 7})^{2} + ({ - 5 - 5})^{2} } \\ = \sqrt{ {0}^{2} + ( { - 10})^{2} } \\ = \sqrt{100} [/tex]

We have the final answer as

10 units

Hope this helps you

How many solutions does 3x – 1 = 3x + 1 have?

Answers

There are no values of X that make that equation true.

No solution

This system 3x – 1 = 3x + 1 has no solution.

How to solve the given system of equations?

In order to determine the solution for the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:

y = 3x - 1      .......equation 1.

y = 3x + 1         .......equation 2.

By using the substitution method to substitute equation 2 into equation 1, we have the following:

3x - 1 = 3x + 1

3x - 3x = 1 + 1

0 = 2 (False).

Read more on equation here: https://brainly.com/question/31398664

#SPJ6

Rewrite the equation for x, and express its value in terms of a. 3/a x - 4 = 20

Answers

For this case, we must clear variable "x" from the given equation, expressed in terms of "a".

We have:

3/a x-4=20

By clearing "x" we have:

Adding 4 to both sides of the equation:

3/a x = 20 + 4

Multiplying by a/3 on both sides of the equation:

x=24a/3

x=8a

So, x=8a

Answer:

x=8a

which equation is a function of x ? A. x=5 B. x=y squared +9 C. x squared=y D. x squared=y squared +16

Answers

Answer:

I am pretty sure it is C: x squared equals y.

Step-by-step explanation:

The phrase "function of x" means that y depends on the value of x.

The only option where I think this is the case is C.

Answer:

I think it is C

Hope this Helps!

3/7 rounded to the nearest hundredth

Answers

Answer:

0.4285714286.

The hundredth place is 2 places to the right of the decimal. In this case, it is 2. So we look to the number to the right of 2 (which is 8). 8 ≥ 5, so the 2 gets rounded to a 3.

0.43

Answer:

The answer is 0.43

Step-by-step explanation:

When you divide 3 by 7, you get 0.42857142857142857142857142857143.

To round to the nearest hundredth, you go 2 numbers after the decimal place. The number on the right of the 2nd number (which is in the hundredths place) will either make the number round up or down. Since the number 8 is greater than 5, the number rounds up.

So, the answer will be 0.43

Jacob cut a 126 centimetre rope into 4 equal pieces. How long is each new piece of rope

Answers

Answer:

31.5  centimetre

Step-by-step explanation:

126/4 = 31.5

(1/2)+(1/2)
lets see who can solve this problem the fastest

Answers

The answer would have to be 1.

Answer:

1

Step-by-step explanation:

Youll only add the top parts so 1+1=2

now we have [tex]\frac{2}{2}[/tex] which is also equal to 1 so our answer is 1.

15-12 + 4(3) =
15-12-12
15-1
14

Answers

Answer:

15

Step-by-step explanation:

15-12+4(3)

15-12+12

3+12

15

An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function that represents the total amount he charges for designing a certain number of rooms. What is the value of the function for an input of 6, and what does it represent?

Answers

Answer:

C(r) = 100 + 55r

C(6) = $430

Step-by-step explanation:

Fixed charges = $100

Charges per room = $55

A. function that represents the total amount he charges for designing a certain number of rooms.

Let

r = number of rooms

C = Total amount charged

C(r) = 100 + 55r

The function is C(r) = 100 + 55r

B. What is the value of the function for an input of 6, and what does it represent

C(r) = 100 + 55r

When r = 6

C(6) = 100 + 55 * 6

= 100 + 330

= 430

C(6) = $430

This means that the amount charged for 6 rooms is $430

lines L and M are parallel lines cut by the transversals line t. which angle is congruent to angle 5

Answers

Answer:

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

Answer:

It is 34 degrees.

Step-by-step explanation:

Got it right on the quiz. Good luck.

Edit: The link led to a different question but others may want the answer to the quiz they looked for so here is the answer to that question.

Q: Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.

Parallel lines l and m are intersected by lines s and t. A triangle has angles 1, 2, 40 degrees. The exterior angle to angle 1 is 74 degrees.

What is Measure of angle 2

34 degrees

40 degrees

74 degrees

146 degrees

A: 34 Degrees

For f(x)=3x+1 and g(x)= x2-6, find (f/g)(x)

Answers

Answer:

(3x+1)/(x^2-6)

Step-by-step explanation:

f/g(x)=f(x)/g(x)=(3x+1)/(x^2-6)

write 3 integers less than -27​

Answers

Answer:

It would be -28, -29, and -30.

Step-by-step explanation: It would be these answers since the numbers are negative the "less than" would be in the other direction.

alan has 12 books, vadim has 18 books. What is the ratio of the number of books they have altogether to the number of books Vadim has

Answers

Answer:

5 to 3 ratio

Step-by-step explanation:

Vadim has 18 books. The total books is 30.

30 to 18 simplified is 5 to 3.

Short math problem giving brainly!

Answers

Answer:

It should be the second one

Step-by-step explanation:

Plot 4/7 on the number line

Answers

Answer:

0.57, which is a number between 0 and 1

Step-by-step explanation:

The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go

Answer:

Between 0 and 1

Step-by-step explanation:

A field in the shape of a trapezoid has an area of 13.687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

Answers

This question is not correctly written

Complete Question

A field in the shape of a trapezoid has an area of 13,687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

Answer:

The height of the trapezoid is 75 yards

Step-by-step explanation:

Area of a Trapezoid = 1/2(b1 + b2) × h

Where b1 = Length of the first base

b2 = Length of the second base

h = height of the trapezoid

From the question

Area of the trapezoid = 13,687.5 yd²

b1 = Length of the first base = 150 yards

b2 = Length of the second base = 215 yards

h = height of the trapezoid

Hence, we have

13,687.5 = 1/2(150 + 215)h

13,687.5 = 365h/2

13,687.5 × 2 = 365h

h = 13687.5 × 2/365

h = 75 yards

Therefore, the height of the trapezoid is 75 yards.

What is 1/5 expressed as a percent

Answers

20% - think of it like this, you have 100 as a full percentage, to help, bring it down to 10. Now, you just have to figure out what 10/5 is, and that’s 2, so now you know you’re looking at intervals of 2, but since your real number is 100, we add a zero to the 2, making it 20, and putting this into a percentage!!

Hope this helps!!

If n = 4, all of the following expressions are equivalent except _____. 16 n -2

Answers

The answer is 62 because 4 =n so you hsve to do 16x4-2 so that is (16x4) -2 and it equals 61

For n = 4, all of the given expressions are equivalent except 16 and

(n - 2).

What is Substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The expressions are;

1. 16

2. n - 2

3. 1/16

4. 1/n²

Now, Put n = 4 in all given expression we get;

The first expression is,

16

The second expression is,

n - 2

= 4 - 2

= 2

The third expression is,

1/16

The fourth expression is,

1/n²

= 1/4²

= 1/16

Hence, Third and fourth expression are same.

So, For n = 4, all of the given expressions are equivalent except 16 and

(n - 2).

Learn more about the substitution method visit:

https://brainly.com/question/12959589

#SPJ2

The complete question is this.

If n = 4, all of the following expressions are equivalent except _____.

16

n -2

1/16

1/n ^ 2

69 2/3 as a decimal ​

Answers

Answer:

Here you can find 69 2/3 as a decimal, along with useful information regarding 69 2/3 in decimal form. If you have been searching for 69 and 2 over 3 as a decimal, then you are right here, too. The terms used in this article about 69 2/3 as decimal are explained in detail on our home page; check it out if anything remains unclear. Read on to find the answer to the question what is 69 2/3 as a decimal, and make sure to have a look at our converter.

69 2/3 as a decimal = 69.(6)

Step-by-step explanation:

69.67

2/3 as a decimal is .6 repeating which I rounded

Hope it helps!

brainlet !!
5/6 + 7 1/3 (pls show how u get the answer)

Answers

Answer:

8 1/6

Step-by-step explanation:

5/6 + 7 1/3

Change the fractions to different denominators.

5/6 x 1/1 = 5/6

1/3 x 2/2 = 2/6

5/6 + 2/6 = 7/6

7/6 = 1 1/6

1 1/6 + 7 = 8 1/6

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), B(0,10) and C(15,0). The origin is the center of dilation. What is the scale factor of the dilation?

A. 1.5
B. 2
C. 2.5
D. 3

Answers

Answer:

The scale of dilation is 2.5

Step-by-step explanation:

K · ( 0, 0 ) = ( 0 , 0 )

k · ( 0 , 4 ) = ( 0 , 10 )

k · ( 6, 0 ) = ( 15, 0 )

k = 15/6 = 10/4 = 2.5

The scale of dilation is 2.5

Perform the indicated operation.
f(x)= 3x - 5
g(x) = 4x - 4
Find (5f- 5g)(x)

Answer is -5x-5

Answers

Answer: -5x-5

Step by step explanation:

— 7 + 4p = -8p + 11
just the answer
or steps if you can​

Answers

Answer:

p = 1.5

Step-by-step explanation:

— 7 + 4p = -8p + 11

Add 8p to each side

— 7 + 4p+8p = -8p+8p + 11

-7 +12p = 11

Add 7 to each side

-7+7 +12p = 17

12p = 18

Divide each side by 12

12p/12 =18/12

p = 18/12

p = 3/2

p = 1.5

What is 3x + 2 + 4x - 1 after combining like terms

Answers

Answer:

7x+1

Step-by-step explanation:

When you look at the expression(3x+2+4x-1), you will notice that some have variables while some are just regular numbers.

First, focus on the variables. 3x and +4x. In the expression, you will have to add it so 3x+4x will be 7x. Now, keep 7x on the side and switch to the numbers.

Next, focus on the numbers. 2 and -1. All you have to do is combine them which will be 2-1 which also equals 1.

Finally, return 7x with 1 which will be 7x+1. The reason you add a + sign instead of a - sign is because you got positive 1, not negative 1.

Your answer is 7x+1.

J is between H & K, if HJ=4t-15, JK=5t-6, and KH=15, find JK

Answers

Answer:

JK = 39

Step-by-step explanation:

HJ and JK are segments of line segment HK, so they must add up to the length of KH.

HJ + JK = HK

By substituting in the values of each line segment, we can solve for t.

(4t - 15) + (5t - 6) = 15

9t - 21 = 15

9t = 36

t = 9

Now that we have t, we can plug it in in order to find the value of JK.

JK = 5t - 6

5(9) - 6

45 - 6

39

JK = 39

Jeremy and Karina are playing the "Integer Card Game". Jeremy drew three cards, -1, 8, and - 3.
What is the sum of the cards in his hand?m?

Answers

Answer:

3

Step-by-step explanation:

Answer:

-1 + 8 + (-3) = 4

Step-by-step explanation:

A small town’s raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries

Answers

Answer:

[tex]\dfrac{3}{85}[/tex]

Step-by-step explanation:

It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.

Total number of entries = 85

Total number of gift baskets = 3

We need to find the probability of winning a gift basket.

[tex]\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}[/tex]

[tex]\text{required probability}=\dfrac{3}{85}[/tex]

Therefore, the required probability is [tex]\dfrac{3}{85}[/tex].

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