Please help me! STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.

Answers

Answer 1

Answer:

x = 12

ST = 23 units

SU = 23 units

TU = 23 units

Step-by-step explanation:

For an equilateral triangle, all the angles are equal. Also, all the sides are equal.

Hence given that the sides ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x

ST = 2x - 1

SU = 5x - 37

TU = x + 11

Since ST = SU = TU

2x - 1 = 5x - 37

collect like terms

37 - 1 = 5x - 2x

36 = 3x

Divide both  3

36/3 = x

x = 12

Therefore

ST = 2x - 1 = 2(12) - 1 = 23 units

SU = 5x - 37 = 5(12) - 37 = 23 units

TU = x + 11 = 12 + 11 = 23 units


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Write the equation of line of the line that passes through the point (5, 6) and a slope of 2

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Y=2x-4 should be the answer

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Answer:

it would be B

Step-by-step explanation:

d=(0-(-5)^2+(-2-(-3)^2

d=(5)^2+(1)^2

d=25+1

d=26

Which of the triangles are right triangles?​

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Step-by-step explanation:

1 is a right triangle I know this because a right triangle is a triangle which one of the angles is a 90 degree angle

Answer:

Triangles 1,2,3, and 4 are all right triangles

If the expression

(3v+7) - (8v+6)

needs to be equivalent to

(-5+n)

What is the value of n?

Answers

Answer:

n = 1

Step-by-step explanation:

So the first step is to simplify the top equation:

(3v + 7) - (8v + 6)

distribute the negative sign to get rid of the second parentheses:

3v + 7 - 8v - 6

now, combine like terms

-5v + 1

Since it says it needs to be equivalent to (-5v + n), n is 1

(4 + 2n) + (513 + 2).

Answers

Answer:

2n + 519

Step-by-step explanation:

Hope this helps! :)

Good luck♥

Elliot was trying to factor 6z^2-18. He found the greatest common factor of these terms was 6.

Answers

Answer:

6(z^2-3)

Step-by-step explanation:

6z^2-18=6(z^2-3)

Pls help its my last question?!?!

Answers

Answer:

x = -11

m<B = -43

m<C = -22

Step-by-step explanation:

To solve for x, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.

I hope this is correct and helps!

Solve for the inequality x / 3 < -7​

Answers

Answer:

[tex]x < - 21[/tex]

Step-by-step explanation:

1. Multiply both sides by 3.

[tex]x < - 7 \times 3[/tex]

2. Simplify 3 × 7 to 21.

[tex]x < - 21[/tex]

therefor, the answer is x < -21

If y varies directly with x, and y = 72 when x = -8, what is y when x = -6

Answers

Answer:

y=72

Step-by-step explanation:

the step by step is in the attachment above

A price is increased by 5% and is now £756.
Work out the original price.

Answers

Answer:

£720

Step-by-step explanation:

100+5 = 105

105% = 756

divide both sides by 105 to find 1%

1% = 7.2

multiply both sides by 100 to find 100%

100% = 720

756/105 X 100 = 720

jeffys law whats 2+2

Answers

Answer:

b

Step-by-step explanation:

Given that f(x)= x^2-3/2 a)find f(3) b) find f

Answers

Answer:

Step-by-step explanation:

f(3)=3^2-3/2=3*3-3/2=9-3/2=18/2-3/2=15/2

30pts
I need help ASAP pls.❤️
A rectangular garden as an area of 10n2
17n + 7
The width of the garden is n - 1 .
Nhat is the length?

Answers

Step-by-step explanation:

1maybe you neeeda put it in calculator cause the problem easy just got to try

An angle measures 160° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

The two angles are 10 degrees and 170 degrees.

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

Let the angle be called "x", and the supplementary angle be called "180-x"

Converting words to math: x-160=180-x

Add x to both sides: 2x-160=180

Simplify: 2x=20

Divide by 2: x=10

Let me know if this helps!

(3xy²)³ × (- 4x²y) =

Answers

Answer:

− 108 x 5 y 7

Step-by-step explanation:

My computer wont allow it but the 5 and the 7 are exponents

Answer:

[tex]-108x^{5}y^{7}[/tex]

Step-by-step explanation:

Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);

- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside

- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents

[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]

What is 4/9 x 5/7 x 1/2

Answers

Answer:

0.16

Step-by-step explanation:

4*5*1=20

9*7*2=126

20/126=10/63

Answer:

10/63

Step-by-step explanation:

First, let's solve 4/9 * 5/7. Multiply the numerator first- 4*5=20. The denominator is 9*7=63. So, this equals 20/63. Now we need to find 20/63 * 1/2. We can cancel out the 2 on the denominator and divide 20 on the numerator by 2. So, you get 10/63 * 1/1, which is 10/63.

Which of the following functions represents an arithmetic sequence?

1. f(n)=3n^2−4
2.f(n)=3n−4
3.f(n)=3^n−4
4.f(n)=3^n−4^n

Answers

Answer:

Option (2)

Step-by-step explanation:

Explicit formula of an arithmetic sequence is always in the linear form.

A(n) = a + (n - 1)d

Here A(n) = nth term of the sequence

a = first term

n = number of term

d = common difference

Formula doesn't have the terms with the exponent.

Therefore, from the given options, expression that represents an arithmetic sequence will be,

f(n) = 3n - 4

Option (2) will be the correct option.

Explain the slope and the y-intercept

Answers

The slope is -1 because slope= rise/run and it’s going down 1 right 1. The y-intercept is a point that touches the y axis. In this case the y intersept is 225. Hope this helps!

Find the solution to the system: x=2y-7 and 4x+y=71

Answers

4*(2y-7)+y=71

8y-28+y=71

9y=71+28

y=99/9

So y=11

Again putting value of y in first equation

x=2*11-7

x=22-7

x=15

So value if x is 15 and y is 11

Which factors composed the least common denominator of for this difference?

Answers

Answer:

-2x, (x+6), and (x-2)

I got this right on edmentum.

Step-by-step explanation:

At a pie cook-off, the judges ate 512 of Mary’s pie and 916 of Jerome’s pie.
The pies were the same size.
Choose Yes or No to tell if the statement about the two pies is true.

Answers

Answer:

No

Step-by-step explanation:

I think you meant to put 5/12 ad 9/16 but in any case, even if it were 51/2 and 91/6 or anything else, the answer would be no

x - y = -2
4x - y = 4

Answers

ExplanationGiven the system of equations.

[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]

Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)

Simply multiply the negative one in one of the equations.

[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]

We can finally eliminate the y-term by adding both equations.

[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]

Substitute the value of x in any given equations. I will substitute in the first equation.

[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]

Check the answer by substituting the value of x and y in both equations.

First Equation

[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Second Equation

[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Hence, the solution is (2,4).

Answer

[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]

Coordinate Form

[tex](2,4)[/tex]

The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?

x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5

Answers

Answer:

use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5

Answer:

5

Step-by-step explanation:

Right answer gets brainlist

Answers

90. you can just do 5x12 which is 60. 60x3 is 180 then 180 divided by 2 because a triangular prism is just half of a cube

Answer:

153

Step-by-step explanation:

Calculate the area of each side first, then add it all up

Width x height = area of square/rectangle

1/2 x width x height = area of a traingle

Whoever completes this will get brainliest!!! Needed ASAP!

Answers

Answer:

1. slope m = 1; y-intercept b = 3

2. slope m = ; y-intercept b = 4

3. slope m = 3; y-intercept b = 1

4. slope m = [tex]\frac{1}{2}[/tex]; y-intercept b = 1

5. the slope demonstrates the cost of toppings PER topping and how the price increases per topping. the y-intercept is the starting cost WITHOUT toppings (when toppings = 0) and the slope increases the price starting with the y-intercept because it is the initial cost. the graph is attached

Help please need the answer before 2:00

Answers

Answer:

y = (10/7)x

Step-by-step explanation:

Ok so this is a hard question but I believe the answer is y = (10/7)x

Volume of composite figures

Answers

Answer:

Finding the volume of these composite figures involves finding the volume of each shape, calculate the volume of each shape,

Step-by-step explanation:

then adding the volume of these different shapes together.  the volume of two different figures is calculated with step by step directions.

Can someone help me please

Answers

Answer:55

Step-by-step explanation:

10-x=5
What is X???I need help

Answers

10-x =5

-x= 5-10

-x = -5

x= 5

Answer : x=5

Answer:

what the other person said

Step-by-step explanation:

last question please som1

Answers

Answer:

898/8×41=4602.5

Step-by-step explanation:

I HOPE THIS WILL HELP YOU KEEP WORK HARD FOR STUDIES

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