In the diagram shown, ZUMF is an exterior angle of triangle JMK Select all the remote interior angles of

Answer:

j + e = 70

j = 2e + 16

e = 18

j = 52

Step-by-step explanation:

two equations can be derived from the question

j + e = 70 eqn 1

j = 2e + 16 eqn 2

j = josh card

e = ethan's card

rewrite equation 2

j -2e = 16 eqn 3

subtract equation 3 from 1

3e = 54

e = 18

substitute for e in equation 1

j = 70 - 18 = 52

The little lines through the two sides of the triangle mean that those two sides are the same length.

When a triangle has two sides that are the same length the bottom two inside angles are also the same.

The bottom left angle is given as 68 degrees, so angle a would also be 68 degrees.

The answer is a = 68

Answer:

I think the answer is 18 square or 324.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

So to make it look simpler, rewrite it as this:

[tex]\frac{4^{5} 7^{3} }{4^27^4}[/tex]

Now, you can cross out the 4^2 and 7^3

You're left with:

[tex]\frac{4^3}{7}[/tex]

Answer:

One-half

1

1.5

Step-by-step explanation:

Area of a circle = πr²

The circumference of a circle = 2πr

n = 3.14

r = radius

Where : = π = pi = 22/7

R = radius

when radius is 1/2

Area = π  x (1/2)^2 = 0.25π

circumference = 2π (1/2) = 1

the circumference is greater than the value of the area

when radius is 1 1/2

Area = π  x (1 1/2)^2 = 2.25π

circumference = 2π ( 1 1/2) = 3

the circumference is greater than the value of the area

when radius is 1

Area = π  x (1 )^2 = 1π

circumference = 2π ( 1) = 2

the circumference is greater than the value of the area

when radius is 2

Area = π  x (2 )^2 = 4π

circumference = 2π ( 2) = 4

circumference equals area

Answer:

A, B, C

Step-by-step explanation:

Step 1: Set up a table with quantity and value.

Step 2: Fill in the table with information from the question.

Step 3: Add down each column to get the equations

Answer:

1) x = 19.6, cos, cos(40) = x/15

2) x = 9.6, tan, tan(21) = x/25

3) x = 9.2, sin, sin(16) = x/33.5

4) x = 29.8, sin, sin(50) = 22.8/x

5) x = 32.3, tan, tan(30) = x/56

Hopefully this helps :)

Answer:

5^n-1

Step-by-step explanation:

5^n-1*30

Answer:

Slope=2/10 or 0.2

Step-by-step explanation:

First, pick the numbers you want to use for slope. I will be using -10 as x1, 0 as x2, -1 and y1, and 1 for y2. The formula for slope is y2-y1/x2-x1.

Plug in these numbers: 1+1 (two negatives make a positive)/0+10(again, two negatives combine to make a positive)

This makes 2/10, which divided eaquals 0.2.

You can use either 2/10 or 0.2 as your answer, depending on what your teacher requires. Have a nice day and let me know if you have any questions!! :)

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

Answer:

650 ft^2

Step-by-step explanation:

Without the gap, the area of the rectangle is 20ft x 35ft = 750 ft^2. The gap is a square having 10ft on the side so its area is 10ft x 10ft = 100 ft^2. Subtracting the area of the square gap from the rectangle gives you 650 ft^2.

Answer:

4cm

Step-by-step explanation:

Given area= 22cm²

Height =4cm

Parallel sides = xcm and 7cm

Area of trapezium = ½( sum of parallel sides) x height

22cm² = ½(xcm+7cm)×4cm

22cm²= ½ ( x+7)cm x 4cm

opening the bracket

22cm²= 4x+28/ 2

cross multiply

44cm²=4x+28

4x=44-28

4x=16

x=4cm

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

Answer:

D.

Step-by-step explanation:

2x + 2y = 62    

x + 4y = 70

-  where x = price for an adult and y = price for a child.

Answer:

what are you asking?

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

6²+x²=10²

36+x²=100

x²=100-36

x²=64

square root of 64 is 8

x=8

Answer:

x= 3/2

Step-by-step explanation:

Answer:

11.6km/hr

Step-by-step explanation:

You need to double 30 minutes to get an hour, so do the same with the distance.

5.8*2=11.6 km

11.6km/hr

Answer:

5 is the answer!!!

Step-by-step explanation:

if its not im sorry lol

Answer:

the answer to this will be 15

Answer:

x=15

Step-by-step explanation:

The angles in a triangle always add up to 180°

3x+7x+2x=180

12x=180  (combine like terms)

[tex]\frac{12x}{12}[/tex]=[tex]\frac{180}{12}[/tex]   (Divide both sides by 12)

x=15

Answer:

[tex]\huge\boxed{(2,\ 3);\ (-1,\ 6)}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right[/tex]

substitute (1) to (2):

[tex]x^2-2x+3=-x+5[/tex]     add x to both sides

[tex]x^2-2x+x+3=-x+x+5[/tex]

[tex]x^2-x+3=5[/tex]        subtract 5 from both sides

[tex]x^2-x+3-5=5-5[/tex]

[tex]x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}[/tex]

substitute the values of x to (2):

[tex]x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}[/tex]

Answer:

A-75 and B-25

Step-by-step explanation:

Firstly, divide the 200 students by the amount of sections (8) and that gives you 25 a section.  Since year 7 has 3 sections and year 9 has 1, 3(25)=75 and 25(1)=25.

Answer:

28 pupils in year 7

22 pupils in year 9

Answer:

True

Step-by-step explanation:

This is so basic haha but happy to help

The scientific notation of 78,400,000 will be 7.84 × 10⁷.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

Scientific notation of any number is given in form of a.bcde...× 10^something

Given the number,

78,400,000

Multiply and divide by 10⁷

⇒ 78,400,000 × 10⁷/10⁷

⇒ 7.84 × 10⁷.

Hence "The scientific notation of 78,400,000 will be 7.84 × 10⁷".

To learn more about indices,

https://brainly.com/question/170984

#SPJ1

Answer:

450.25 sq in

Step-by-step explanation:

Subtract area of triangle from area of circle

Area of Triangle:  

need to get the radius (which we will use as the height) and double the radius to get the base

Pythagorean Theorem:

21² + 20² = c²

441 + 400 = c²

c = [tex]\sqrt{841}[/tex] which is 29

A(Δ) = 1/2(29)×14.5

= 210.25

Area of Circle:

A = π(14.5²)

= 660.52

Difference = 660.5 - 210.25 = 450.25

Answer:

there are 5 shirts a day

Step-by-step explanation:

you divide the number of hours the camp is open by the time a guard is on duty. 7.5 ÷ 1.5 =5

Answer:

$34.78

Step-by-step explanation:

37.80 × 8 ÷ 100 = 3.02

37.80 - 3.02 = 34.78