In the following diagram,
A
∥
B
.




Use complete sentences to explain how the special angles created by the intersection of
A
and
B
by
D
can be used to solve for
x
.
Solve for
x
, showing all of your work.
Find the measure of
∠
6
.

[tex]\\ \rm\rightarrowtail \dfrac{2}{3}[/tex]

We need. the denominator as 12

So

[tex]\\ \rm\rightarrowtail \dfrac{2(4)}{3(4)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{8}{12}[/tex]

Answer:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Step-by-step explanation:

To get from 3 to 12, we must multiply 3 by 4 since 3 x 4 = 12

Therefore, multiply both the numerator and denominator by 4:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Answer:

12

Step-by-step explanation:

This thing to know about this question is that angle 1 and angle 3 are actually the same.

When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.

So what you can do is set angle 1 and 3 equal to each other like so:

5x+10 = 70

Then solve for x

5x+10 = 70

5x = 60

x = 12

Answer:

the correct answer is B. $336

Step-by-step explanation:

you first add 319 and 28. Then, you subtract the product with 11.

To be honest I think the answer is B

Answer:

D because I was doing it for a while and I know it

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The value of third side should be lesser than the the sum of other two sides ~

[tex]\qquad \sf  \dashrightarrow \:x < 2.8 + 2.8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x < 5.6[/tex]

and, value of third side should also be greater than the difference of other two sides ~

[tex]\qquad \sf  \dashrightarrow \: x> 2.8 - 2.8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x > 0[/tex]

Now, combine the two inequalities, we will get ~

[tex]\qquad \sf  \dashrightarrow \:0 < x < 5.6[/tex]

I hope you got the required Answer ~

Step-by-step explanation:

first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min

we just multiply 50 by 3.6.

therefore the car travels 180km south west

Answer:

Correct answer: B

Step-by-step explanation:

Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.

In the graph, you can see that the graph is defined for [tex]-3\leq x < 1[/tex] (not-including 1 because there is an open hole there, indicating it is not part of the domain), and [tex]2\leq x\leq 4[/tex].

Now that we know the domain, we can attach it to the graphs that lie on those domains.

We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.

At this point, you can just start crossing off answers that don't meet this criteria.

Cheers!!

Answer:

I think I should run 5miles

Answer:

£4400

Step-by-step explanation:

5% of 4000 is 200

200*2=400

4000+400=4400

£4400

Answer:

Step-by-step explanation:

Answer:

  x/y = 10^3 = 1000

Step-by-step explanation:

The rules of logarithms tell you ...

  log(x/y) = log(x) -log(y)

__

Here, we have ...

  log(x/y) = log(x) -log(y)

  = (3 +log(y)) -log(y) = 3 . . . . . . . . substittute for log(x)

Taking the antilog, we get ...

  log(x/y) = 3

  x/y = 10^3 = 1000

_____

Additional comment

The expression log(x) is often used to refer to the "common log" of x, which is the logarithm to the base 10. This lets us avoid the cumbersome notation log_10(x).

In more formal mathematics, log(x) may be used to refer to the natural log. The distinction is usually made in high school algebra by referring to the natural log using ln(x).

[tex]\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383[/tex]

Answer:

Step-by-step explanation:

The area of a rectangle is length x width.

Given:

length = 175.23m

width = 67.5m

Area = 175.23m x 67.5m = 11828.025[tex]m^{2}[/tex]

Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres

Given Data

Required : the total litres

If each bottle is 3 litres in capacity and we have 60 bottles

Then the total amount in litres is

= 60*3

= 180 litres

Learn more about capacity of items here

https://brainly.com/question/21036176

Answer:

Box 4

Step-by-step explanation:

negative divided by negative is positive so both negatives cancel out and u get (5/6) / (1/3)

Answer:

area=2πr

= 22/7*15

= 47.142

Step-by-step explanation:

we need the length of the arc ?

the length of the arc fully around the circle (360°) is the circumference of the circle : 2×pi×r

and the arc length for 123° is then

2×pi×r×123/360

but we would need r to calculate that. you did not provide that.

the only other thing that comes to mind is : the arc angle is indeed the angle at the center of the circle and is 123°.

i don't know how else to help you, as i cannot think of anything else you might need there.

Using simple interest, considering the parameters stated in the exercise, it is found that he will pay an interest of $153.16.

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I = Prt

In which:

In this problem, the parameters are given as follows:

P = 2187.96, r = 0.035, t = 2.

Hence, the interest paid will be of:

I = Prt = 2187.96 x 0.035 x 2 = $153.16.

More can be learned about simple interest at https://brainly.com/question/25296782

Answer:

24

Step-by-step explanation:

The the triangles are similar, the lengths of corresponding sides are in proportion.

15/20 = 18/n

3/4 = 18/n

1/4 = 6/n

n = 4 × 6

n = 24

Answer:

n = 24

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{n}{18}=\dfrac{20}{15}\\\\\\n=\dfrac{20}{15}*18\\\\\\n = 4*6\\\\n = 24[/tex]

Answer; 60

Step-by-step explanation:

solution:

here,

4 cars = 12 marbles

1 car = 12/4. = 3 marbles

then,

20 cars = 3(20) marbles

= 60 marbles

We can make this into a fraction  4/12 = 20/x

Then, we will solve for x

4x = 240    cross multiply

x = 60

Joe collects 60 marbles after collecting 20 cars.

The Multiplicative Inverse Property is being used.

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The Length of the third side of a triangle shouldn't be greater than the some of other two sides,

So, let the side be x

[tex]\qquad \sf  \dashrightarrow \: x < 32 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x < 42[/tex]

And hence, the third side should be less than 42 cm, therefore the only option that doesn't satisfy the condition is option D

Therefore, 44 cm can't be a side of that Triangle.

Answer:

10,582 algae plants

Step-by-step explanation:

10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.

Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]

Given:

Substituting the given values into the formula:

[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]

                  [tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]

                  [tex]\sf =33.49333333...[/tex]

                  [tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]

Hey there!

Your area of a trapezoid

a = a + b / 2(h)

area = base + base / 2(height)

YOUR EQUATION:

area = 9 + 3 / 2(11)

area = 12/2(11)

area = 6(11)

area = 66

Thus, your answer is probably: 66

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-9

Step-by-step explanation:

225 ÷ -25 = -9

Answer:

  (c)  f(x) = 500(5^x)

Step-by-step explanation:

An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.

__

You are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.

  f(x) = 100(5)^x   ⇒   f(0) = 100·1 = 100 ≠ 500

  f(x) = 100(x^5) . . . not an exponential function

  f(x) = 500(5)^x   ⇒   f(0) = 500·1 = 500 . . . . . the function you're seeking

  f(x) = 500(x^2) . . . not an exponential function

Answer:

a

Step-by-step explanation:

Answer

90

Step-by-step explanation

600 divided by 100

600 / 100 (5+10)