The diagram shows a pair of parallel lines crossed by two 
intersecting transversals.
a Work out the size of angle a. Give a reason for your answer.
b Work out the size of angle b. Give a reason for your answer.
c Work out the size of angle c. Give a reason for your answer.
d Work out the size of angle d. Give a reason for your answer.
e Work out the size of angle e. Give a reason for your answer

Step-by-step explanation:

c= 31.4

D= C/π

[tex]\longrightarrow[/tex] 10 yards

[tex]\red{\leadsto}\:[/tex][tex]\textsf{Circumference \:of \:the \:circle} [/tex][tex]\sf= 31.4 \:yards [/tex]

[tex]\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2\times 3.14 \times r= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 6.28 \times r= 31.4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf r= \frac{31.4}{6.28} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered} [/tex]

[tex]\green{ \underline { \boxed{ \sf{Diameter = 2 \times radius }}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf Diameter = 2\times 5\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered} [/tex]

Answer:

Since BAF is the opposite of DAE, they are equal to each other. 134 - 89 = 45. The correct answer is 45

Step-by-step explanation:

3/(x + 4) = (x + 2)/5

Multiply both sides by 5 :

5 × 3/(x + 4) = 5 × (x + 2)/5

15/(x + 4) = x + 2

Multiply both sides by x + 4 :

(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)

Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:

15 = (x + 4) (x + 2)

Expand the product on the right side:

15 = x² + 6x + 8

Move everything to one side:

0 = x² + 6x - 7

We can factorize easily in this case
0 = (x + 7) (x - 1)

Then

x + 7 = 0   or   x - 1 = 0

⇒   x = -7   or   x = 1

Answer:

The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Area of rectangle = Area of square

= 8 x 2

= 16 cm²

Side length = √Area

= √16

= √4 x √4

= 4 cm

Answer:

  74°

Step-by-step explanation:

There are a couple of different angle relations that can be used to solve this problem. The measure of an inscribed angle is half the measure of the arc it subtends. The measure of an exterior angle of a triangle is equal to the sum of the remote interior angles. The measure of an exterior angle at the intersection of secants is half the difference of the arcs the secants subtend.

__

Using the secant relation, we find ...

  ∠Y = 1/2(RS -VX)

  2×∠Y +VX = RS

  2(28°) +18° = 74° = arc RS

__

Using the relations involving interior and exterior angles of a triangle, we have ...

  ∠S = 1/2(VX) = 1/2(18°) = 9°

  ∠RVS = ∠S +∠Y = 9° +28° = 37°

  arc RS = 2×∠RVS = 2(37°) = 74°

X=105°

Y=105°

Z=105°

let the angle below 75° which is the 4th Street be A

75°+A=180°[being adjacent angle]

A=105°

X=A[Verticall opposite angle]

Z=A[Corresponding angle]

Y=X[alternate angle]

Answer:

120

Step-by-step explanation:

took quiz it was correct!

Answer:

120

Step-by-step explanation:

Solution:

The side lengths can only be classified as a right triangle if it is a Pythagorean triple. To classify the side lengths as a Pythagorean triple, it must satisfy "c² = b² + a²".

Where:

Checking (5, 12, 13):

Checking (12, 35, 20√3):

Checking (5, 10, 5√5):

Checking (8, 12, 15):

Checking (20, 99, 101):

Answer:

Linear negative association

Step-by-step explanation:

All points are in a line, so it is linear.

As x increases, y decreases. That is a negative association.

Answer: Linear negative association

Answer:

3.5cm

Step-by-step explanation:

10mm = 1 cm

35mm = ?cm

35/10 = 3.5cm

Answer:

55.902m

Step-by-step explanation:

a^2 + b^2 = c^2
the diagonal line through the swimming pool is the hypotenuse that splits the pool into two equal right triangles

25^2 + 50^2 = c^2
625 + 2500 = c^2
3125 = c^2
root3125 = 55.902

Answer:

no solutions

Step-by-step explanation:

The equation simplifies to 13 = -3, which is not true for any value of x.

I think 3 or maybe 2 because if ........

The true statement about the rate of change of the table is (c) The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00

From the table, we have the following ordered pairs

(x,y) = (150,-500) and (200,0)

The rate (r) is then calculated as:

[tex]r = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, the equation becomes

[tex]r = \frac{0 + 500}{200 - 150}[/tex]

Evaluate the difference and the sum

[tex]r = \frac{500}{50}[/tex]

Evaluate the quotient

[tex]r = 10[/tex]

The value of the rate represents that for every 1 ticket sold, there is a net profit of $10

Read more about rates and slopes at:

https://brainly.com/question/8728504

Answer:

pistachios

Step-by-step explanation:

you pay more for the pistachios because $2.75 is greater than $2

Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70.[/tex]  

In mathematics, interest is the fee or payment made for using borrowed funds; it is typically stated as a percentage of the principal sum. Interest can be divided into two categories.

Simple Interest is computed solely using the principal of the debt or investment. I = PRT, where P is the capital, R is the interest rate per period, and T is the time period, is the formula for simple interest.

Given,

The monthly wage is  [tex]$2,415.64[/tex] dollars.

After expenses, discretionary funds equal 54% of monthly revenue.

Fixed monthly expenses equal [tex](100–54%)%[/tex] of overall monthly income.

[tex]= 46%[/tex]  of monthly gross revenue

[tex]= 0.46 × 2,415.64[/tex]

[tex]= $ 1,111.1944[/tex]

Thus, the fixed expenditures for three months equal three times the fixed expenses for one month.

[tex]= 3 × 1,110.5544 = $ 3331.6632[/tex]

This money will be conserved in 8 months, so

As a result, the monthly savings equal 1/8 of [tex]$ 3331.6632[/tex] .

[tex]= $ 416.6979 ≈ $ 416.70[/tex]

Therefore, Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70[/tex]  .

Learn more about interest here:

https://brainly.com/question/30393144

#SPJ1

The above question is incomplete, the complete question is given below:

Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months

Solution:

Let's verify each option to see which is correct.

Option A

Two subtracted from the quotient of seven divided by b.

Option B

Seven added to difference of b minus two.

Option C

The quotient of seven divided by b minus two.

Option D

Two subtracted from seven times b

Option E

The product of seven and the difference of b minus two

Option E is correct.

Answer:

Option E

Step-by-step explanation:

Let's check

So the expression becomes 7(b-2)

Answer:

4 degrees  :)

Step-by-step explanation:

All the interior angles must equal 180 degrees. So, we can do 180/45 which equals 4 degrees. Hope this helps. Btw all exterior angles equal 360 degrees, just in case you need to know that on your next assignment. Peace, man!

Total price = sale price x (1 + sales tax %)

total = 13.23 x ( 1 + 0.08)

total = $14.29

Answer:

$14.2884

original price: $13.23

with tax: 100% + 8% = 108%

cost with tax:

108% * $13.23

$14.2884

Answer:

umm i think for the coin its 50% maybe? because tails would be 1/2

Step-by-step explanation:

im not sure for the second one though D:

Answers and Explanation:

8. It is a fair coin, meaning it has 2 equal landing possibilities. The probability of the coin landing on Head or Tail is equal, so the answer is 1/2

250 contestants playing, means the coin is flipped 250 times. Multiply the probability of it landing on Tails by the number of contestants.

=> [tex]\frac{1}{2}*250=125[/tex] . Therefore 125 contestants are expected to win.

10. The sample space is made of 1-12, there are 12 numbers. Probability is equal to number of outcomes/ sample space

a. P(x>10) = 2/12 = 1/6

This is because there are 2 numbers greater than 10. They are 11 and 12.

b. P(x<5) = 4/12 = 1/3

There are 4 numbers smaller than 5 (1,2,3,4)

c. P(4,6,9) = P(x=4) + P(x=6) + P(x=9)

=> 1/12 + 1/12 + 1/2 = 1/4

It is 1/12 for all three because there's only one of each number in the sample space. We add because in probability 'OR' means 'ADD'.

Now multiply your probability by the number of times the solid was rolled for your final answer.

=> [tex]1/4*200= 50 times[/tex]

50 times is the final answer

Answer:

No like terms

Step-by-step explanation:

Let's simplify step-by-step.

−2p3−3p2+7

There are no like terms.

Answer:

=−2p3−3p2+7

Answer:

There are 4 terms in the expression.

Step-by-step explanation:

Algebraic expressions :

A combination of constants and variables , connected by four fundamental arithmetical operations i.e addition , subtraction , multiplication and division is called an algebraic expressions

Terms:

Various parts of an algebraic expression , which are separated by + or – are called terms of the algebraic expression

EVALUATION

Here the given expression is

2p³ - 3p² + 4p + 7

Since Various parts of an algebraic expression , which are separated by + or – are called terms of the algebraic expression

So the terms are 2p³ , - 3p² , 4p , 7

We know that the number of terms in an algebraic expression is the total number of distinct terms in the expression

Pls, choose me as brainliest!

Answer:

≈ 7.85 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 225π , then

πr² = 225π ( divide both sides by π )

r² = 225 ( take square root of both sides )

r = [tex]\sqrt{225}[/tex] = 15

the arc length is calculated as

arc = circumference × fraction of circle

      = 2πr × [tex]\frac{30}{360}[/tex]

      = 2π × 15 × [tex]\frac{1}{12}[/tex]

      = 30π × [tex]\frac{1}{12}[/tex]

      = [tex]\frac{30\pi }{12}[/tex]

      ≈ 7.85 cm ( to 2 dec. places )

Answer:

12.8

Step-by-step explanation:

write it down on the calculator to get the result...

no. = 80 × 16% = 80 × (16/100) = 80 × 0.16 = 12.8

Answer: 31.2

Step-by-step explanation:

The best answer here seems to be 31.2

I'd check some other answers though too, im abismal at math

Answer:

JS is about 69.4

Step-by-step explanation:

Notice that the given side length JW = 67 is opposite to the given angle S = 44º. JS is adjacent to angle S, so we use the tangent function to solve for JS:

[tex]\tan 44^{\circ} = \frac{JW}{JS}\\\\\tan 44^{\circ} = \frac{67}{JS}\\\\JS = \frac{67}{\tan 44^{\circ}}\\\\JS = 69.3805[/tex]

Round JS to the nearest tenth, 69.4.

Answer:

JS is approx. 69.4

Step-by-step explanation:

This triangle is close to a 45-45-90 triangle. So you then know the answer should be close to 67 because the other side is the same. This leaves us with JS=64.7 and JS=69.4. Another rule says that the side with the smaller angle is greater. 69.4 is greater.

Answer:

42

Step-by-step explanation:

x - 6= 0 → x = 6

we put this value in x² + 5x -24

6² + 5(6) - 24 = 36 + 30 - 24 = 42

there is another way too. but it's longer. you can see it in picture.