If m // n and n // o and p is a transversal, find the
following;
Which are corresponding angles?
which are alternate interior angles?
which are alternate exterior angles?
which are same-side interior angles?
Which are vertical angles?
which are supplementary angles?

Answer: He run 7 high-speed intervals and 8 low-speed intervals.

Step-by-step explanation:

Let x = Number of high-speed intervals.

y= Number of low-speed intervals .

He runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds.

4 min 56 sec = (4(60)+56) sec = 296  sec   [ 1 minute = 60 seconds]

According to the question , we have the following linear equations :

[tex]x+y=15\ ...(i)\\\\ 16x+23y=296\ ...(ii)[/tex]

Multiply (i)by 16 , we get

[tex]16x+16y=240\ ...(iii)[/tex]

Subtract (iii) from (ii)

[tex]7y=56\\\\\Rightarrow\ y=8[/tex]

Put value of y in (i) , we get

[tex]x+8=15\Rightarrow\ x=7[/tex]

Hence, he run 7 high-speed intervals and 8 low-speed intervals.

Answer:

The triangle ABC is not a right triangle

Step-by-step explanation:

For a right angle triangle, we have;

The square of the longest side or leg of the triangle is equal to the  sum of the squares of the other two legs

The parameters given from the question, are;

The square of of the length of side A = 7 inch²

The square of of the length of side B = 18 inch²

The square of of the length of side C = 27 inch²

Therefore, the the longest side is side C and the inch² sum of the squares of the other two sides are 7 + 18 = 25 inch² which is less than the square of the  length of side C = 27  inch², therefore, the triangle ABC is not a right triangle.

Answer:

Not a right angle

Step-by-step explanation:

Khan academy is never wrong :3

Answer:

8

Step-by-step explanation:

3 - (-5)

This can be rewitten to

3 + 5

Why?

2 negatives cancel each other out to make a positive, therefore:

3 + 5 = 8 or 3 - (-5) = 8

Answer:

8

3-(-5)=8 because two negatives make a positive so it is like adding 3 and 5 together to get the answer of 8.

Answer:

a) Area=9 units²

Perimeter=18 units

b) Area=28ft²

Perimeter=24ft

c) Area=120cm²

Perimeter=46cm

Step-by-step explanation:

a) Area=9 units²

Perimeter=18 units

b) Area=28ft² (7x4)

Perimeter=24ft (7+5+7+5)

c) Area=120cm² (15x8)

Perimeter=46cm (15+8+15+8)

Answer:

2b - 8z - 6

Step-by-step explanation:

Rearrange the equation, so like terms are near each other

-2b+4b-3z-5z-6

Now we add the b's and z's to get,

2b - 8z - 6

Answer:

2b -8z -6

Step-by-step explanation:

−2b−5z−6+4b−3z​

Combine like terms

−2b+4b−5z−3z​−6

2b -8z -6

Answer:

v = 18

Step-by-step explanation:

Given

79 = 61 + v ( subtract 61 from both sides )

18 = v

Answer:

1320

Step-by-step explanation:

as

SI=(P×T×R)/100

SI=(2000×12×11/2)/100

SI=132000/100

:.SI=1320

Answer:1320

Step-by-step explanation:2000×12×11/2/100

Two divide by twelve=6

2000÷100=20

20×6×11=1320

Answer:

aa

Step-by-step explanation:

Answer:

a = 29/46

b= - 9/46

Step-by-step explanation:

Given:

Rationalizing the left side:

Comparing the left and right sides:

The geometric figures are drawn on the diagram are option A,B,D, and F.

One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

we know that

case a) ∠ABC

The geometric figure is not drawn in the diagram case is b) ∠BCE

The geometric figure is drawn in the diagram case is c) line segment CA

The geometric figure is drawn in the diagram case is d) Ray CA

The geometric figure is drawn in the diagram case is e) Circle C

The geometric figure is drawn in the diagram  case is f) Ray BE

The geometric figure is not drawn in the diagram case is g) LIne segment AE

Hence, The geometric figures are drawn on the diagram are option A,B,D, and F.

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Answer:

1.5%

Step-by-step explanation:

To find Rate in Simple Interest:

R = 100 S.I / T × P

R = 100 × 90/10 × 600

R = 9/6

R = 1.5%

1.5% is the rate.

Answer:

Step-by-step explanation:

Call T the top

call G the bottom

T G B is a right triangle

37 at B, 90 at G, thus 53 at BTG

TGA is a right triangle

25 at A, 90 at G, thus 65 at ATG

thus 122 at ABT

law of sines:

sin 25 / BT = sin 12/ 57

so BT = 156 meters (first answer)

now angle ABT = 180 - 12 - 25

= 143

so

sin 143 /AT = sin12/57

AT = 164 meters, second answer

Answer:

r=1

Step-by-step explanation:

-5r+2r=-3r

-3r=-3

Divide by -3 on both sides

r=1

Answer:

D. 13.

Step-by-step explanation:

f(x)=2x+1/x-4

let y = 2x + 1 / x - 4

xy - 4y = 2x + 1

xy - 2x = 4y + 1

x(y - 2) = 4y + 1

x = (4y + 1)/(y - 2)

So f^-1(x) = (4x + 1)/(x - 2)

and f^-1(3) = (4(3) + 1) / (3 - 2)

= 13/1

= 13.

Answer:

The difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Step-by-step explanation:

We know that the area of a triangle A = 1/2bh where b = base and h = height.

Let A be the area of triangle 1 with base (3x + 7) and height (5x - 1).

So its area A = (3x + 7)(5x - 1)/2.

Now for the second triangle, the base is tripled, so its base is 3(3x + 7) and its height is doubled, so its height is 2(5x - 1)

So its area is A' = 3(3x + 7) × 2(5x - 1)/2 = 3(3x + 7)(5x - 1)

So the difference between the area of the original triangle and the new triangle is

A' - A = 3(3x + 7)(5x - 1) - (3x + 7)(5x - 1)/2

= (3x + 7)(5x - 1)(3 - 1/2)

= 5(3x + 7)(5x - 1)/2

So the difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Answer:

Option D. m<A = 43, m<B = 55, a = 20

Step-by-step explanation:

1. Determination of angle B.

Angle C = 82

Opposite C (c) = 29

Opposite B (b) = 24

Angle B =?

Using Sine rule, we can obtain the value of angle B as follow:

b/Sine B= c/Sine C

24/Sine B = 29/Sine 82

Cross multiply

29 × Sine B = 24 × Sine 82

Divide both side by 29

Sine B = (24 × Sine 82) /29

Sine B = 0.8195

Take the inverse of Sine.

B = Sine¯¹ (0.8195)

B = 55

2. Determination of angle A.

Angle C = 82

Angle B = 55

Angle A =?

The value of angle A can be obtained as follow:

A + B + C = 180 (sum of angle in a triangle)

A + 55 + 82 = 180

A + 137 = 180

Collect like terms

A = 180 – 137

A = 43

3. Determination of side a (Opposite A)

Angle C = 82

Opposite C (c) = 29

Angle A = 43

Opposite A (a) =?

The value 'a' can be obtained as by using sine rule as illustrated below:

a/Sine A = c/Sine C

a/Sine 43 = 29/Sine 82

Cross multiply

a × Sine 82 = 29 × Sine 43

Divide both side by Sine 82

a = (29 × Sine 43) /Sine 82

a = 20

Therefore,

m<A = 43, m<B = 55, a = 20

Answer:

280-17=273

Step-by-step explanation:

because 80-17 equals 73 sooooooo add 200

Explanation:

There are n = 8 sides in a regular octagon. The smallest angle of rotational symmetry is 360/n = 360/8 = 45 degrees. Rotating this amount will not change the regular octagon. The before and after will look identical.

ANSWER:

Your answer is 45 Degrees

Step-by-step explanation:

so the answer must be 2025 km.

The distance of the plane travel from 11:15 a.m. to 1:30 p.m. on the same day will be 2025 km.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A plane is flying at a cruising speed of 900 km/h.

The distance of the plane travel from 11:15 a.m. to 1:30 p.m. on the same day will be

From 11:15 a.m. to 1:30 p.m., there are 2.25 hours.

Then the distance will be

D = 900 x 2.25

D = 2025 km

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Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.

Step-by-step explanation: I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions ! Hope this helped

Answer:

Step-by-step explanation:

If we have triangle of sides: a, b, c, and a < b < c (or b<a<c) then:

for triangle to exist:

                                  a + b > c

So:

if  a=11, b=16  then 11 + 16 > c     ⇒   c < 27

if a=11, c = 16 then  11 + b > 16    ⇒   b > 5

We don't know if the unknown side (x) is the longest or not, so it has to be greater than 5 and less than 27

5 < x < 27

Answer:

Distance = 17.5 miles

Step-by-step explanation:

Note.

Given question is not complete

Given:

Speed upstream = x

Time taken in upstream = 3.5 hour

Speed in return trip = (x+2)

Time taken in return trip = 2.5 hour

Computation:

Distance = speed × time

Distance = x (3.5)

Distance = 2.5 (x+2)

Distance = 2.5x + 5

So,

2.5x + 5 = 3.5 x

1.5 x = 5

x = 5 miles/hour

Distance = x (3.5)

Distance = 5 (3.5)

Distance = 17.5 miles

Answer:

[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]

Step-by-step explanation:

So we have the expression:

[tex]12-[20-2(6^2\div3\times2^2)][/tex]

Recall the order of operations or PEMDAS:

P: Operations within parentheses must be done first. On a side note, do parentheses before brackets.

E: Within the parentheses, if exponents are present, do them before all other operations.

M/D: Multiplication and division next, whichever comes first.

A/S: Addition and subtraction next, whichever comes first.

(Note: This is how the order of operations is traditionally taught and how it was to me. If this is different for you, I do apologize. However, the answer should be the same.)

Thus, we should do the operations inside the parentheses first. Therefore:

[tex]12-[20-2(6^2\div3\times2^2)][/tex]

The parentheses is:

[tex](6^2\div3\times2^2)[/tex]

Square the 6 and the 4:

[tex](36\div3\times4)[/tex]

Do the operations from left to right. 36 divided by 3 is 12. 12 times 4 is 48:

[tex](36\div3\times4)\\=(12\times4)\\=48[/tex]

Therefore, the original equation is now:

[tex]12-[20-2(6^2\div3\times2^2)]\\=12- [20-2(48)][/tex]

Multiply with the brackets:

[tex]=12-[20-96][/tex]

Subtract with the brackets:

[tex]=12-[-76][/tex]

Two negatives make a positive. Add:

[tex]=12+76=88[/tex]

Therefore:

[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]

Answer:

0

Step-by-step explanation:

0 · |-6|

Absolute value means take the non negative number

0* 6

0

The value of the given absolute value equation 0 · |-6| is 0.

Given that an absolute value equation 0 · |-6|, we need to evaluate this.

To evaluate the expression 0 · |-6|, let's break it down step by step:

First, calculate the absolute value of -6:

|-6| = 6

Now, multiply the result from step 1 by 0:

0 · 6 = 0

When you multiply any number by 0, the result is always 0.

In this case, even though |-6| equals 6, multiplying it by 0 will make the overall result 0.

This is a fundamental property of multiplication with zero.

So, the final answer is 0.

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Answer:

D

Step-by-step explanation:

Insert 3 in place of x in the inverse function.

Answer:

[tex]-\frac{16.7}{13.3}[/tex]

Step-by-step explanation:

Step 1: Collect the like terms

8.8 + 7.9 = -5.5x - 7.8x

Step 2: Simplify

16.7 = -13.3x

Step 3: Divide both sides by -13.3

[tex]\frac{16.7}{-13.3} =\frac{-13.3}{-13.3}x[/tex]

[tex]x =- \frac{16.7}{13.3}[/tex]

Therefore the answer is [tex]-\frac{16.7}{13.3}[/tex]

Answer:

  x = -1 34/133

Step-by-step explanation:

Given

  8.8 +7.8x = -7.9 -5.5x

  13.3x = -16.7 . . . . . . . . . . . add 5.5x -8.8

  x = -16.7/13.3 = -167/133 . . . . divide by 13.3 and simplify

  x = -1 34/133 ≈ -1.25564

Answer

the answer is 254 cm 2

Step-by-step explanation:

The area of the circle will be 254 square cm. Then the correct option is C.

Let r be the diameter of the circle. Then the area of the circle will be

A = (π / 4)d² square units

The radius of the circle is 18 cm.

Then the area of the circle will be

A = (π / 4) x (18)²

A = 254.46 ≈ 254 square cm

Then the correct option is C.

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Step-by-step explanation:

43. P, U

44. 7

53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.

55

a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.

One of those combinations does not have K, so 3 combinations of the 4 have K.

p = 3/4

b. p = 1 since any three points are always coplanar.

Answer:

b = sqrt(39)

Step-by-step explanation:

Since this is a  right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2

5^2 + b^2 = 8^2

25+b^2 =64

b^2 =64-25

b^2 =39

Take the square root of each side

b = sqrt(39)

Answer:

[tex]\sqrt{39}[/tex]

Step-by-step explanation:

Step 1: Find the unknown wide using Pythagorean Theorem

[tex]a^{2}+ b^{2} = c^{2}[/tex]

[tex]a^{2}+ 5^{2} = 8^{2}[/tex]

[tex]a^{2}+ 25 = 64[/tex]

[tex]a^{2}= 64-25[/tex]

[tex]a^{2=39[/tex]

[tex]\sqrt{a^{2}} = \sqrt{39}[/tex]

[tex]a=\sqrt{39}[/tex]

[tex]\sqrt{39}[/tex] cannot be simplified and more

Therefore the unknown side is [tex]\sqrt{39}[/tex]