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Answer:

Length of RU is 20 units.

Step-by-step explanation:

In ΔRSt and ΔRUT,

ST ≅ TU [Given]

RT ≅ RT [Reflexive property]

∠RTS ≅ ∠RTU [Both the angles are the right angles]

ΔRTS ≅ ΔRTU [By SAS property of congruence]

Therefore, RS ≅ RU [By CPCTC (corresponding parts of the congruent triangles are congruent]

8x = 6x + 5

8x - 6x = 5

2x = 5

x = 2.5

Length of RU = (6x + 5)

                      = 6(2.5) + 5

                      = 15 + 5

                      = 20

Length of RU is 20 units.

Answer:

6x+4=52

    -4   -4

6x=48

/6   /6

x=8

Step-by-step explanation:

i hope this helps :)

Answer:

Perimeter = 24 units

Area = 36 square units

Step-by-step explanation:

An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.

We have to find the length of the sides of the rectangle using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For sides A

(-4,-1), (2,-1)

= √(2 - (-4))² + (-1 -(-1))²

= √(2 + 4)² + (0)²

= √6²

= √36

= 6 units

Side B

(2, -1), (2,5)

= √(2 - 2)² + (5 - (-1))²

= √0² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

For side C

(2,5) , and (-4,5)

= √(2 - (-4))² + (5 - 5)²

= √6² + 0²

= √36

= 6 units

For side d

(-4,-1), (-4,5)

= √(-4 - (-4))² + (5 - (-1))²

= √(-4 +4)² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

From the above calculation, all the sides of the secret chamber are equal to one another

Side a = Side b = Side c = Side d

This means the chamber is has the shape of a square.

The perimeter of the secret chamber =

P = 4a

a = Length of one side = 6 units

P = 4 × 6 units

P = 24 units

The area of the secret chamber

A = a²

a = Length of one side = 6 units

A = ( 6 units)²

P = 36 square units

Answer:

9.7cm

Step-by-step explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm

Answer:

5 cm approx

Step-by-step explanation:

Given data

Diameter= 20cm

radius= 10cm

Volume= 1570cm^3

We know that the expression for the volume of the container/cylinder is

V= πr^2h

1570= 3.142*10^2*h

1570=3.142*100*h

1570=314.2h

h= 1570/314.2

h=4.99 cm

Hence the height is 5 cm approx

Answer:

They are called vertical angles but are also known as "Vertically Opposite Angles"

Step-by-step explanation:

can i get brainliest im 1 away from ranking up

Answer:

"Vertical" refers to the vertex

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.

Answer:

-15

Step-by-step explanation:

in 1950 it was 45 and in 1980 it was 30 so it is -15

The average rate of change can be define as the value of something is changing with respect to another thing is tinging. The average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.

The given graph shows the population of a city between the year 1900 to 2000.

The average rate of change can be define as the value of something is changing with respect to another thing is tinging.

Form the given graph,

The year 1950 is between the year 1940 and year 1960. The value at the y axis where the population (in thousand) shown is 45,000 for the year 1950.

The year 1980 is shown in graph at the x axis and the value of the population in the y axis is 30,000.

Thus the population is decreasing from year 1950 to 1980. The difference in the population of the year 1950 and 1980 is,

[tex]d=45000-30000[/tex]

[tex]d=15000[/tex]

Thus the change in the population between 1950 and 1980 is 15,000.

Average rate of change of the population between 1950 and 1980 -

As the population and the year both are changing. The rate of change for the population with respect to the year can be calculating by dividing the difference of the population between two year to the total years between the 1950 to 1980.

There is total 30 year from 1950 to 1980, thus the average rate of change is,

[tex]A(x)=\dfrac{15000}{30} \\ A(x)=500[/tex]

Thus the average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.

Learn more about the average rate of change here;

https://brainly.com/question/2530409

Answer:line

Step-by-step explanation: the section between any two points on a line is called a line segment a line segment can be very long or very short or somewhere in between the difference between a line and a line segment is that a line segment has two endpoints and a line goes on forever

Answer:

680.. that is if we are only doing 4 weeks = a month but yeah :)

Step-by-step explanation:

Answer:

about 680

Step-by-step explanation:

17 months rounds up to 68 weeks so divide by 2 and it would make 34 since jacob is getting the allowance every two weeks then multiply it by 20 which makes 680

i don't know if this is correct but I hope it helps

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the net of the prism is not shown.

However, I will give a general explanation on how to determine the net of the three popular prisms.

(1) Rectangular prism.

It is made up of 6 rectangles

(2) Triangular prism

It consists of 3 rectangles and 2 triangles

(3) Square prism

It is made up of 6 squares

See attachment for the net of each prism

Answer:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration:

[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

notice that you can simplify the integrand

recall that,

[tex] \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1[/tex]

thus substitute:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx[/tex]

remove parentheses:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx[/tex]

[tex]\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

factor out 2:

[tex]\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

reduce fraction:

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx[/tex]

[tex] \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx[/tex]

distribute:

[tex] \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx[/tex]

use sum integration formula:

[tex] \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx[/tex]

recall integration rules:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) [/tex]

and we of course have to add constant of integration

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

Answer:

$332

Step-by-step explanation:

Answer:

C:  Exponential function

Step-by-step explanation:

This is an exponential function.  While the terms decrease steadily, they do not decrease by subtraction of any common difference.  Definitely not a linear function (y = mx + b) or a quadratic (ax^2 + bx + c) either.

Answer:

61 pennies

Step-by-step explanation:

d + p = 99

0.1d + 0.01p = 4.41

d = 99 - p

0.1(99 - p) + 0.01p = 4.41

9.9 - 0.1p + 0.01p = 4.41

-0.09p = -5.49

p = 61

Answer: 61 pennies

Answer:

76

Step-by-step explanation:  and explain

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

15 ; yes

Step-by-step explanation:

Base = 15 inches

Height = 10 inches

Area of triangle = 1/2* base * height

Area of triangle = 0.5 * 15 * 10

Area of triangle = 75 in²

Area of trapezium < 2(75)

Area of trapezium, A

A = 1/2*(x+b)h

x = top base ; b = bottom base ; h = 10

1/2*(x + 15)10 < 150

5x + 75 < 150

5x < 150 - 75

5x < 75

x < 15

Hence, Area of trapezoid :

A = 1/2 * (15 + 15)10

A = 1/2 * (30)10

A = 1/2 * 300

A = 150

Hence, Area of trapezium can be twice the area of triangle.

2(75) = 150

Answer:

71

Step-by-step explanation:

64+3×5-8

64+15-8

79-8

71

Answer:

71

Step-by-step explanation:

4^3 = 64 + 15 = 79 - 8 = 71

Give me my brainllest

Answer:

hope this helps you out five is a little harder to read sorry

Answer:

I got x= -4 as the answer. I hope it helps

Answer:

RQ = 5 cm

ST = 8 cm

Answer:

426

Step-by-step explanation:

solution,

slope(m) = y2-y1/ x2-x1

= 4+7/1+3

=11/4

I hope this is correct, the formula can be wrong so pls double check if u have formula.

Answer:

Algebraic Expression:

[tex]8f - 2[/tex]

Answer:

(8f)-2

Step-by-step explanation:

8 times f is multiplication, take two away is subtraction.

Answer:

2x + 2x + x - 8 = 4 (x + 2)

x = 16

Step-by-step explanation:

Because that's a square, the perimeter would be 4s where s is the measure of the side:

2x + 2x + x - 8 = 4 (x + 2)

To solve, refer below:

2x + 2x + x - 8 = 4x + 8

5x - 8 = 4x + 8

5x = 4x + 8 + 8

x = 16

Answer:

the answer is 2 lol

Step-by-step explanation:

thanks for points

Answer:

I think option (B) is right answer

Answer:

I don't know

Step-by-step explanation:

if don't know

Answer:

[tex] \frac{9 \sqrt{3} }{3 \sqrt{5} } \\ = \frac{3 \sqrt{3} }{ \sqrt{5} } [/tex]

Hope it helps!