In the figure shown, BC is parallel to
AD and AB =
AB = CD. What is the
perimeter of quadrilateral ABCD ?

Answer:

Midsegment is 35.

Step-by-step explanation:

TL; DR:

The smaller triangle (with a base of 6x + 5) has side lengths that are twice as small as the entire triangle (the one with a base of 3x+55). So, 2(6x+5) = 3x + 55. x = 5, so the midsegment is 35.

Look at the photo attached below.

Here is the statement/reason:

1. ED ║ AB (Midsegments are parallel to the base)

Note: Then, CA and CB are transversals

2. Then, m∠CED = m∠EAB (corresponding angles)

3. m∠CDE = m∠DBA (corresponding angles)

4. ΔCED is similar to ΔCAB (angle angle)

5. CA = CE + EA

6. CA = 39 + 39 = 78 (Substitution, algebra)

7. ED/AB = CE/CA (similar triangles)

Note: You can also use CD and CB

8. (6x+5) / (3x+55) = 39 / 78 (substitution)

9. (6x + 5) / (3x + 55) = 1 / 2 (algebra)

10. 12x + 10 = 3x + 55, x = 5 (algebra)

11. ED = 6x + 5 (given)

12. ED = 6*5 + 5 = 35 (substitution, algebra)

An explanation of the algebra:

(6x+5) is twice as small as (3x + 55). So, we can write this equation:

2(6x+5) = 3x + 55

12x + 10 = 3x + 55

Subtract 3x from both sides.

9x + 10 = 55

Subtract 10 from both sides.

9x = 45

x = 5.

Now, put that into ED.

6x + 5 = 6 * 5 + 5 = 35

I hope this helps! Feel free to ask any questions!

Answer:

50M

Step-by-step explanation:

The area of a trapezium = 1/2 x ( a + b) x h

a and b are the parallel sides

h = height

300sqm = 0.5 x (10 + b) x 10

divide both sides by 10

30 = 0.5 x  (10 + b)

Divide both sides by 0.5

60 =  (10 + b)

b = 60 - 10 = 50

Answer:

m=3     b=-2       y=3x-2

Step-by-step explanation:

The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.

The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b

The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.

Answer:

Average grade now = 7.524

Step-by-step explanation:

Given - If the average score of the 20 students is 7.5. Then a student follows the test and gets a grade of 8.

To find - What is your average grade now?

Proof -

Given that,

Average score of 20 students = 7.5

So,

Total value of students = 20 × 7.5 = 150

Now,

Given that, One person added ang his grade is 8

So,

So Total value of 21 students = 150 + 8 = 158

Now,

Average score of 21 students = [tex]\frac{158}{21}[/tex] = 7.5238

∴ we get

Average grade now = 7.524

Answer:

22cm²

Step-by-step explanation:

For the area of triangle,

base = 2 + 2 + 2 = 6cm

height = 4cm

Area = 1/2 x base x height

= 1/2 x 6 x 4

= 12cm²

For area of the rectangle,

length = 5cm

breadth = 2cm

Area = length x breadth

= 5 x 2

= 10cm²

Area of compound shape = 12 + 10 = 22 cm²

Answer:

The area of a circle with radius 19.5 is 1195

Answer:

1194.59

Step-by-step explanation:

A=πr2=π·19.52≈1194.59061

Answer:

3 gallons

Step-by-step explanation:

Each wall 12 x 20 = 240 feet squared

4 walls =  4 x 240 = 960 squared feet

960 divided into 320 = 3

1 gallon --------320

1 gallon------------320

1 gallon-----------320

                    3 gallons----------960

Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

can u make me brainiest pls

Answer:

None of the 3 available answers models the given rectangle

I believe (x+5)(x-2) would be equal though.

Step-by-step explanation:

(x-5)(x+2) = x²+2x-5x-10

simplify:

x²-3x-10 ≠ x²+3x-10

(x)(x+3) = x²+3x

simplify:

x²-3x ≠ x²+3x-10

(x+3)(x-10) = x²-10x+3x-30

simplify:

x²-7x-30 ≠ x²+3x-10

Answer:

5

Step-by-step explanation:

5=1 x y

y=5

Answer:

here is the answer

Step-by-step explanation:

the first one the slope is 2

the second one the slope is -3

the slope is always the one with the x and the second one without the x is the y axis

Answer:

Manisha age = 15 years

Step-by-step explanation:

Let

Manisha age = x

Amir = 2/3 of Manisha age

Amir = 10 years

Amir:

2/3 of x = 10

2/3 * x = 10

2/3x = 10

x = 10 ÷ 2/3

= 10 × 3/2

= (10*3)/2

= 30/2

= 15

x = 15 years

Therefore,

Manisha age = 15 years

Answer:

The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.

:))

Answer: x/10

Step-by-step explanation:

the quotient of the opposite of a number and negative ten

Well

The opposite of a number is -x

And negative ten is written as -10

now we need the quotient of -x and -10

If you were asked the quotient of 10 and 2 it would be 10÷2 or 5

So the quotient of -x and -10 would be [tex]\frac{-x}{-10} = \frac{x}{10}[/tex]

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = [tex]\sqrt{61}[/tex]

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = [tex](\sqrt{61})^2[/tex] + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

Answer:

I need to know this, too.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

You can conclude this for the picture

Answer:

radius = 14.5 feet

Step-by-step explanation:

91.06 / 3.14 = diameter = 29

radius = 29/2 = 14.5 feet

Answer:

J(-2, -0.5), K(0, 2), L(-2, -1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

so 1 equals one to q 1

Answer: in an hour and  working  at the same rate, Lenny will make 250 sandwiches

Step-by-step explanation:

Number of sandwiches made in 12 minutes =50

Number of sandwiches made in 1 hour =   ??

1 Hour =  60 mins

Therefore, Number of sandwiches made in 60 mins =  (60 x 50) /12

=5 x 50 = 250 sandwiches

Answer:

33.6f eet

Step-by-step explanation:

if

2=8 then

8.4x8= 67.2/2= 33.6 feet

9514 1404 393

Answer:

  A)  16

Step-by-step explanation:

The ratio of long-side to short-side is the same for all of these similar triangles, so we have ...

  e/8 = 8/4

  e = 8(8/4) = 8(2) = 16

The value of e is 16.

Answer:

V= 232.4

Step-by-step explanation:

V= 1/3 x 28 x 24.9

Answer:

[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]

Step-by-step explanation:

[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]

Answer:

3.25

hope this helped!!

Answer:

3.25

Step-by-step explanation:

13 / 4 is an improper fraction . when you divide 13 by 4 you get 3.25

Answer:

No.

Step-by-step explanation:

1=3*1/3

2=6*1/3

3=9*1/3

......

Yes, All the multiples of 1/3 also repeating decimals.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The decimal form of 1/3 is a repeating decimal.

Now,

Since, The decimal form of 1/3 is a repeating decimal.

As, 1 / 3 = 0.33333...

And, Some of the multiples of 1/3 are;

1 / 3 = 1×2 / 3×2

      = 2 / 6

      = 0.33333....

And, 1 / 3 = 1×3 / 3×3

      = 3 / 9

      = 0.33333....

1 / 3 = 1×4 / 3×4

      = 4 / 12

      = 0.33333....

Thus, Yes, All the multiples of 1/3 also repeating decimals.

Learn more about the divide visit:

https://brainly.com/question/15330585

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Answer:

1

Step-by-step explanation:

Substitute x with -3 and y with -7

2(-3)-(-7)

Multiply

-6-(-7)

Signs are both negative, turn into positive sign

-6+7

Add

1

Answer:

1

Step-by-step explanation:

x = - 3 and y = - 7

2x-y =?

Now

2*(-3)-(-7)

-6 +7. (sign of negative when multiplied it turns into positive)

1. Answer

Answer:

First number = 75.5

Second number = 45.5

Given:

Consider the given polynomials are:

[tex]f(x)=7x^3+x^2-4x+10[/tex]

[tex]g(x)=x^2-5[/tex]

To find:

The polynomial function rule for [tex]g(x)+f(x)[/tex].

Solution:

We need to add both functions to get [tex]g(x)+f(x)[/tex].

[tex]g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)[/tex]

[tex]g(x)+f(x)=x^2-5+7x^3+x^2-4x+10[/tex]

On combining like terms, we get

[tex]g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)[/tex]

[tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex]

Therefore, the required function is [tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex].

Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)