How to find an area of a trapezium

Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:

(2a-1+a+7)/2 = 17

(3a +6)/2 = 17

3a + 6 = 34

3a = 28

a = 9[tex]\frac{1}{3}[/tex]

Answer:

x=121

Step-by-step explanation:

Answer:

x = 121°

Step-by-step explanation:

180 - 115 = 65°

The angle beside 115° is 65°.

A full circle is 360° so

360 - 304 = 56°

Add the two angles

65 + 56 = 121°

Subtract it to 180° to find the other angle

180 - 121 = 59°

Now subtract again to 180° to find the angle in the other side

180 - 59 = 121°

Answer:

x = √11

Step-by-step explanation:

(x + 3)(x - 3) = 2

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

Answer:

  a) interior angle: 156°

  b) exterior angle: 24°

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...

  360°/15 = 24°

__

The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...

  180° -24° = 156°

_____

Additional comment

We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.

Answer:

3x+7

  3

Step-by-step explanation:

(3x-7) × (3x+7) × ____2x+4_____

         6                     3x∧2-x-14

(3x-7) × (3x+7) × ____2(x+2)_____

         6                 3x∧2 × 6x-7x-14

(3x-7) × (3x+7) × _____x+2_______

         3                  3x × (x+2)-7(x+2)

(3x-7) × (3x+7) × _____ x+2_______

         3                     (x+2) × (3x-7)

3x+7

  3

Hope this helps! :)

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

→ x = 4

Therefore, the value of x is 4.

Answer:

Independent variable = m

dependent variable = c

Step-by-step explanation:

c = 25 + 0.6m

where,

m = number of miles

c = total cost of rent

Answer:

x = 7

Step-by-step explanation:

The right angle is composed of the 2 given angles, so sum to 90°

4x + 40 + 6x - 20 = 90

10x + 20 = 90 ( subtract 20 from both sides )

10x = 70 ( divide both sides by 10 )

x = 7

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.

Answer:

degree of 4

Step-by-step explanation:

The largest exponent.

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

brainly.com/question/7696843

#SPJ5

Answer:

well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size

Answer:

a= 0.6

Step-by-step explanation:

This is the answer...........

Answer:

It is reciprocal.

A = 0.6

Step-by-step explanation:

Reciprocal” means “equality,”

To find the A. Use APE or Additive Property of Equality

-2. 7 = a - 3.3

-2.7 + 3.3 =  a

0. 6 = a

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

Answer:

Step-by-step explanation:

Dad:  2/5

Son:  1/3

Who mowed most of the lawn? Dad, of course.  2/5 is larger than 1/3.  2/5 is 40% and 1/3 is 33.333%

How much of the lawn still needs to be mowed?  

 2/5 + 1/3 + X = 1  [1 means the whole lawn.  X is the remaining portion.]

6/15 + 5/15 + X = 1   [Convert each fraction so that they have a com,mon denominator.  This also shows that 2/5 (6/15) is larger than 1/3 (5/15).

11/15 + X = 1

X = 1 - 11/15

X = 4/15 left to be mowed.

How much does Mr. Doyle have left to mow?

We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.

4/15 left to be mowed.

Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard

Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard

Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.

Convert the fraction into a decimal number. Then we have

2/5 = 0.40

1/3 = 0.33

Mr. Doyle mowed faster than his son.

The amount of the lawn still needs to be mowed will be given as,

⇒ 1 - 2/5 - 1/3

⇒ (15 - 6 - 5) / 15

⇒ 4 / 15

The amount of lawn still needs to be mowed will be 4/15.

Mr. Doyle has left to mow and will be given as,

⇒ (4 / 15) x (2 / 5)

⇒ 8 / 75

Mr. Doyle has left to mow and will be 8/75.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

Step-by-step explanation:

5/7 of $5,404 is $3088.

Sierra earned $3088 and Gavin earned $2316

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

Answer:

33 is the correcr answeerrr

Step-by-step explanation:

11x3 is 33

Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

Answer:

$0.31

Step-by-step explanation:

You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

Hope this helps! Please give this a rating and press the heart button! Thanks!

Answer:

The numbers appear random.  Are there two columns?  I can't decipher the list.  

Step-by-step explanation:

Plot the function and see if any of the points fall on the line.  See attachment.

Is the function y-2x = 7  ??  { I see y-2x.7}

y = 2x + 7

Step-by-step explanation:

I am not sure this is typed all correctly.

what I understand here :

there is an original triangle ABC in inches.

then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.

the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.

due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.

and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).

that means that all side lengths are divided by 16 for the resulting triangle.

8 inches /16 = 0.5 inches

19.2 inches / 16 = 1.2 inches

20.8 inches / 16 = 1.3 inches

so, the second answer option is correct.