If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r and s nor lines t and u must be parallel.

Answer:

Step-by-step explanation:

2x - 1 < 7

Add 1 to both sides

2x - 1 + 1 < 7+1

2x < 8

Divide both sides by 2

2x/2 < 8/2

x < 4

5x + 3 < 3

Subtract 3 form both sides

5x + 3 - 3 < 3-3

5x < 0

x < 0

x <4 & x < 0

So, solution ,

{x / x< 0 }

Answer:

A. {x l x < 0}

Step-by-step explanation:

2 x - 1 < 7 and 5x + 3 < 3.

Solve one inequality at a time

2 x - 1 < 7

Add 1 to each side

2 x - 1+1 < 7 +1

2x <8

Divide by 2

2x/2 <8/4

x <4

Now solve the other

5x + 3 < 3

Subtract 3

5x +3-3 < 3-3

5x<0

x <0

Recombine

x<4 and x<0

We go with the more restrictive  and merge the overlapping interval since we have an and

x<0

Answer:

28 meters.

40 meters.

Step-by-step explanation:

Let x be the length of the larger piece, then we have:

1/4 x + 5 = 12

1/4 x = 12 - 5

1/4 x = 7

Multiply both sides by 4:

x = 28 meters.

The total length of the carpet =  12 + 28 = 40 meters.

The length of bigger piece is 28 and the total length of carpet is 40.

By the problem,

A machine cuts a strip of carpet into two pieces.

Given, length of smaller piece is 12 meters .

Also given, length of smaller piece = 5 + 1/4 (length of larger piece)

⇒ Length of larger piece = 4*(length of smaller piece - 5) meters

                                      = 4*(12 - 5) meters

∴ Length of larger piece is = 28 meters

Thus the total length of carpet is = length of larger piece + length of smaller piece .

∴ Total length of carpet is = (28 + 12) meters = 40 meters

The length of bigger piece is (28)

The total length of carpet is (40)

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Answer:

Penny would need to put in ~ $18,181.82

Step-by-step explanation:

Using the equation [tex]A = P(1+rt)[/tex]

Where A = the total

P is equal to the starting amount

r is equal to the rate (percent)

and t is equal to the total time.

We can put in:

A = $40,000

r = 0.08 (8%)

t = 15

[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]

Round to the nearest whole cent

P = $18,181.82

Answer: The initial number of points on the line was 15.

Step-by-step explanation:

8n-7=113

8n=120

n=15

Answer:

15 points

Step-by-step explanation:

Initial number of points= x

It can be added 1 less points between the existing ones, so:

Step 1

Step 2

Step 3

Now,

Number of initial points is 15

Answer: 120 inches

Step-by-step explanation: because 12 times 10 is 120

Answer:

32 divided by 7/8 is 36 and 4/7

Step-by-step explanation:

Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.

Answer:

3/4

Step-by-step explanation:

From the above question, total number of cats in the litter = 7

We are told in the question that 4/7 of the kittens are white

This means

The number of kittens that are not white = 7 - 4/7 = 3/7

The number of kittens that are female and white = 3/7

This question is a conditional probability question

The probability that your cousin will choose a female kitten given that it is white is calculated as:

Probability that the kittens are female and white ÷ Probability that the kittens are white

= 3/7 ÷ 4/7

= 3/7 × 7/4

= 3/4

Therefore, probability that your cousin will choose a female kitten given that it is a white is 3/4

Answer:

22.4 litres

Step-by-step explanation:

Reaction:

2Mg (s) + O2 (g) → 2 MgO (s)

From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2

STP conditions mean:

Using the equation of state for ideal gases:

PV = nRT

where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:

V = nRT/P

V = 1*0.082*273.15/1

V = 22.4 litres

Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.

Step-by-step explanation:

Here you must remember the relation:

Speed = distance/time.

So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.

We know that:

Sa = Sb + 12mph.

and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:

Sa*T = 141mi

Sb*t = 105mi

we can take the quotient of those two and get:

(Sa/Sb) = 141/105.

now we can replace Sa by Sa = Sb + 12mph.

(Sb + 12mph)/(Sb) = 141/105.

Sb + 12mph = (141/105)*Sb

Sb*(141/105 - 1) = 12mph

Sb = 12mph/(141/105 - 1) = 35mph.

and we know that:

Sa = Sb + 12mph = 35mph + 12mph = 47mph.

Answer:

4 to the power of 8

Step-by-step explanation:

if they have the same base number with a  exponent u can add the exponenets together to simplify it but if they dont have the same base number you can not add the exponents together

Answer:

b.

[tex] {4}^{8} [/tex]

Step-by-step explanation:

With the same base you just add the exponents.

Answer:

177.8cm

tell me if it's right :)

Step-by-step explanation:

Answer:

equation of line:

y = mx+c

1) find the gradient, m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]

[tex]m = 1[/tex]

2) find y-intercept, c using coordinate (-1,0)

y = mx + c

0 = 1(-1)+ c

-1 + c = 0

c = 1

the equation of line: y = x + 1

Answer: D. (x+5)/(x-3)

Step-by-step explanation:

Domain = Set of all input values of a function.

range = set of all output values of a function.

Given: Domain: [tex]x\neq3[/tex]   ; range = [tex]y\neq2[/tex]

We do not include a value for domain if it makes the expression indeterminant .

Since all the functions in options are fractions, here the denominator does not equal to 0.

But in option C and D, the denominator can be zero if x=3.

So , domain for then it [tex]x\in {R-3}[/tex]

Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]

[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.

Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]

Hence, Domain: [tex]x\neq3[/tex]   ; range = [tex]y\neq2[/tex] is for option D.

Answer:

OPTION D IS NOT CORRECT.

i took the test & selected D and it was wrong.

THE CORRECT ANSWER IS C.

Step-by-step explanation:

Answer:

Hey there!

Given Equation

4a-5=3

Add 5 on both sides

4a=8

Divide by 4 on both sides

a=2

Hope this helps :)

Answer:

Step by step explanation

4a - 5 = 3

Add 5 on both sides:

4a - 5 +5 = 3 + 5

Simplify

4a = 8

divide both sides by 4

4a/4 = 8/4

Simplify

a = 2

Hope this helps...

Good luck on your assignment..

Answer:

20% of 25 trees=25*20/100=5 trees.

Step-by-step explanation: i hope this helps

C

:)hope this helps :)

Answer:

5 hours 24 minutes

Step-by-step explanation:

the speed is :279/4.5 = 62 miles per hour (mph)

if he continues on the same speed : 325/62=5  16/62 or 5 hours 24 minutes

hope it works

Answer:

This is true

Step-by-step explanation:

because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function

Answer:

The correct option is D

D) the height of the rock 3.2 seconds after it is propelled

Question:

The question is incomplete as it doesn't say what to find. I know that whole question which is given below

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?

A) the height of the rock 3.2 seconds before it reaches the ground

B) the time it takes the rock to reach the ground, or 3.2 seconds

C) the time it takes the rock to reach a height of 3.2 meters

D) the height of the rock 3.2 seconds after it is propelled

Solution:

h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.

Answer:

18 numbers

Step-by-step explanation:

These are all the two digit numbers with at least one 7.

17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97

Answer:

Option B is the right option.

solution,

X=4

y=2

now,

[tex]1.3(x + 2) - (y - 6) \\ = 1.3(4 + 2) - (2 - 6) \\ = 1.3 \times 6 - ( - 4) \\ = 7.8 + 4 \\ = 11.8[/tex]

Hope this helps..

Good luck on your assignment

Answer:

It's 11.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can ask me ıf you don't understand :)

Answer:

f(x)=10+0.25x

she can put maximum 20 words

Step-by-step explanation:

f(x)<=15

10+0.25x<=15

0.25x<=5

x<=20

Answer:

10 + .25 w ≤15

Step-by-step explanation:

The flat fee is 10 dollars

It is .25 per word

10 + .25w

This must be less than or equal to the amount she has to spend

10 + .25 w ≤15

Answer:

yes, sas

Step-by-step explanation:

12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.

Answer:

2) [tex]\frac{1}{4} c[/tex]

3/4 of the cyclists did not finish, thus 1/4 did.

3) [tex]59-t[/tex]

56 people were on the bus.  3 people got on(56+3=59).  Then t people got off(-t)

4) [tex]\frac{G}{30}[/tex]

Out of 30 people, g of the are girls

5) [tex]\frac{16}{c}[/tex]

Out of c people, 16 are boys

Hope it helps <3

Answer:

x = 4

Step-by-step explanation:

We would like to find the value of x such that:

2x + 1 = (8x + 5) + 20

Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.

Now, we simply solve for x:

2x + 1 = 8x + 5 + 20

2x + 1 = 8x + 25

6x = 24

x = 4

The answer is thus 4.

~ an aesthetics lover

Answer:

x = -4.

Step-by-step explanation:

The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.

2x + 1 = 8x + 5 + 20

2x - 8x = 25 - 1

-6x = 24

x = -4

Hope this helps!

Answer:

d) a1 = -8, an = an-1 + 2

Step-by-step explanation:

The formule is:

an = a1 + r*(n - 1)

So:

an = -8 + 2(n - 1)

a1 + r*(n - 1) = -8 + 2(n - 1)

⇒ a1 = - 8   ∧ r = 2

Finally:

r = an - an-1

an = 2 + an-1

The arithmetic sequence using a Recursive Formula is defined as

aₙ = a₍ₙ₋₁₎+2

A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.

Given that, Arithmetic Sequence defined by a Recursive Formula:

aₙ = -8 + 2(n - 1)......(i)

The explicit formula of an AP is

aₙ = a₁ + (n-1)d

Comparing the equations, we get,

a₁ = -8 and d = 2

Now, the recursive formula of an AP is

aₙ = a₍ₙ₋₁₎ +d

Put d = 2,

aₙ = a₍ₙ₋₁₎ +2

Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2

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Answer:

31/40

Step-by-step explanation:

The question is incomplete. Here is the complete question with appropriate diagram.

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.

What is the probability that a point chosen at random is in the blue region?

Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.

Using the formula Area of a circle = πr²

314 = 3.14r²

r² = 314/3.14

r² = 100

r = 10 cm

Diameter of the circle = 2*10 = 20 cm

Area of a square = Length * length

Area of the outer square = 20*20 = 400cm²

Area of the inner square with side length 2cm = 2*2 =4cm²

Area of the shaded region = Area of the square - Area of the inner square

= 314-4 = 310cm²

The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square

= 310/400

= 31/40

Answer: its 2/157

Step-by-step explanation: edg 2020

Answer: A

Step-by-step explanation:

Given that y varies inversely with x, that is,

Answer:

The measure of the angle will be 25°

Step-by-step explanation:

when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.

Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).

The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°.  we will get 310. The angles will be 310/2 = 155°.  Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.  

Answer:

25 degrees

Step-by-step explanation:

justt trust me