Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.

Answer:

C. Decreasing

Step-by-step explanation:

The smaller triangle is DEF which has sides

The larger triangle ABC has side lengths of

Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.

Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have  AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.

By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.

Answer:

81

Step-by-step explanation:

sin 31 = 42/x

x sin 31 = 42

x = (sin 31)/42

Answer:

[tex](x - 4)(x - 5)[/tex]

Step-by-step explanation:

x2 − 9x + 20

[tex] {x}^{2} - 9x + 20 \\ {x}^{2} - 5x - 4x + 20 \\ x(x - 5) - 4(x - 5) \\ (x - 4)(x - 5)[/tex]

The factors of the given trinomial are (x-5)(x-4).

The given trinomial is x²− 9x + 20.

To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.

Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

Now, x²− 9x + 20 can be written as x²− 5x-4x + 20

=x(x-5)-4(x-5)

=(x-5)(x-4)

Therefore, the factors of this trinomial are (x-5)(x-4).

To learn more about the trinomials visit:

https://brainly.com/question/9102330.

#SPJ5

Answer:

21.98

Step-by-step explanation:

C = Dπ

D = 7

7 * 3.14 = 21.98

Answer:

m = 2

Step-by-step explanation:

Your function Y=2x- is not properly formed.  However, y = 2x carries enough information to enable you to determine the slope of the graph of your function:  It is m = 2.

Answer:

Step-by-step explanation:

18/30 becuase 30 have a cat and 18 have both.

18/30 = 6/15

I'm always happy to help :)

Answer:

12.5 cm

Step-by-step explanation:

Find the height of a prism in the following way:

height = Volume divided by Area of cross section.

Substitute the values and so you have:

1500 divided by 120 = 12.5

Answer:

A

Step-by-step explanation:

1.5 does not equal 0.15 or the other values.

Answer:

4 cm

Step-by-step explanation:

Given is an isosceles triangle. Therefore it's two sides will have equal lengths.

Let the length remaining sides be x cm.

[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

A) Figure RST is congruent to figure R′S′T′.

Answer:

a

Step-by-step explanation:

Answer:

They would fall in the same year every 10 years

Step-by-step explanation:

Here in this question, we are interrelated in calculating the number of years it will take the alumni reunion and the alumni soccer game to fall in the same year.

Now looking at the number of years, we can see we have every 2 and every 10 years

To get the year in which they happen at the same time, we can simply find the lowest common multiple of 2 and 10 and that would be 10

This can be visualized in a way that;

The reunion has happened now, and will happen in the next 10 years.

Now since the soccer game has happened now, in the next 10 years, we shall be having 5 episodes. This means that it will take up to the 10th year before we have the soccer game and the alumni reunion occurring at the same time and the mathematical reason for this is that , 10 is the lowest common multiple of 10 and 2

Answer:

1 times

Step-by-step explanation:

Hello,

The alumni have reunions every 10 years

But also have football games every 2 years

We have to find how often do the football and reunion fall the same year.

Working with a space of 10 years

In 10 years, reunions happen only once

In 10 years, soccer games happen five times

Assuming we're in the year 2020,

The next reunion would likely occur in year 2030.

But soccer games will happen in year 2022, 2024, 2026, 2028 and finally 2030.

Checking both soccer and reunion coincidence, we can only find one which is in year 2030.

So, soccer games and reunions happen once in 10 years

Answer:

8

Step-by-step explanation:

if you have 4 books and I add you another 4 books you will have 8 books altogether.

Answer:

Bias.

Step-by-step explanation:

It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

135ft^3

Step-by-step explanation:

Multiply all of the numbers to get your answer.

Answer:

A: 0.714

Step-by-step explanation:

four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys

3 even + 3 purple - the purple even ( no double counting) = 5

P( purple or even) = purple or even / total

                              = 5/7

                              = .71428

Answer:

Step-by-step explanation:

Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:

[tex]V=72300e^{(.071)(19)}[/tex] and

[tex]V=72300e^{1.349[/tex] and

V = 72300(3.853570033) so

V = $278,613.11

Answer:

f(2) = 11

hope this helps

Step-by-step explanation:

3(2)+5

6+5

11

Answer:

11

Step-by-step explanation:

3(2)+5=11

Substitution -- :D

Answer: i hope this will help you

a^x=y this is a simple equation

where as loga(in the base) y=x this is a logarithmic equation

Answer:

no

Step-by-step explanation:

Answer:

Colin's mean score = 17.10

The new mean is 18.00

Step-by-step explanation:

Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1

number of terms: 10

mean is calculated by given formula = sum of all the data set/ number of terms in the data set.

mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10

                                       = 171/10 = 17.1

Colin's mean score = 17.10

____________________________________________

runs scored by Colin in 11th match = 27

number of terms: 11

new mean = new sum /number of terms

new mean = (old sum score + 27)/11 = (171+27)/11

new mean = 198/11 = 18

The new mean is 18.00

Answer:

[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]

Given:

Length = 8 feet

Width = (7 + x) feet

To find;

Area of the rectangle

Step-by-step explanation:

[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]

Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.

Step-by-step explanation:

Answer:

✔ -2

Step-by-step explanation:

correct

Answer:

-2 is your answer

Step-by-step explanation:

Answer:

Angles that sum up to 90° are called complementary angles. For example if there are two angles with measures 40° and 50° they are know to be complementary cuz they sum up to 90.

All the very best for your math exam by the way :)

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

Hope This Helps!

Answer:

x=-11

Step-by-step explanation:

In order to solve for x, we have to get x isolated.

To do that, we must perform the inverse operations to both sides of the equation.

-3x+6=39

6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

-3x+6-6=39-6

-3x=39-6

-3x=33

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3x/-3= 33/-3

x= 33/-3

x=-11

Answer:

A=61.8\ units^2

Step-by-step explanation:

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

I think the answer is A. conductor

Answer:

Step-by-step explanation:

Its insulation because the clothing traps in your body heat.