If AABC = ADEC,
ZB = 2x + 31 and ZE = 7x - 24
A
D
B
E
x = [?]

Answer:

2.5in

Step-by-step explanation:

Given parameters;

  Base = 4.5inches

   Height = 6inches

    Area  = 21in²

Unknown:

b₂ = ?

Solution:

 Formula for finding the area of a trapezium;

         A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h

     Input the parameters and solve for b₂;

      21  =  [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6

       21 = 3(4.5 + b₂)

       21 = 13.5 + 3b₂

      21 - 13.5 = 3b₂

     b₂ = 2.5in

Answer:

[tex]\boxed { x > -1}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]8x - 9 > - 17[/tex]

-Add [tex]9[/tex] to both sides:

[tex]8x - 9 + 9 > -17 + 9[/tex]

[tex]8x > -8[/tex]

-Divide both sides by [tex]8[/tex]:

[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]

[tex]\boxed { x > -1}[/tex]

-The number line (graphed):

Answer:

f(5)=225 and f(10)=250

Step-by-step explanation:

Answer:

we need to know what the question is.

Step-by-step explanation:

Answer:

b=20

Step-by-step explanation:

[tex]b ^{2} + {a}^{2} = {c}^{2} \ \\ {b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {25}^{2} - {15}^{2} = 625 - 225 = 400 \\ b = \sqrt{400} = 20[/tex]

Given : In a triangle ABC , a = 15 , c = 25 . Also the triangle is a right angled triangle .

To Find : The value of b using the Pythagoras Theorem.

Solution : The value of side a is 15 , c is 25 and we have to find b . The sides with be Pythagorean Triplet whose smallest member will be 15 . So the third member. will be 20 . And the largest member is 25 .

The Pythagoras Theorem is :

[tex]\boxed{\red{\bf hypontenuse^2=base^2+perpendicular^2}}[/tex]

⇒ c² = a² + b² .

⇒ b² = c² - a² .

⇒ b² = ( c + a ) ( c - a ) .

⇒ b² = ( 25 + 15 ) ( 25 - 15 ) .

⇒ b² = 40 × 10.

⇒ b² = 400.

⇒ b² = √400.

⇒ b = 20 .

Hence the value of c is 20 .

=========================================================

Work Shown:

A = 1+sqrt(2)

B = 1-sqrt(2)

-------------------

Using A and B, let's add and subtract those values

A+B = (1+sqrt(2))+(1-sqrt(2))

A+B = 1+sqrt(2)+1-sqrt(2)

A+B = 1+1+sqrt(2)-sqrt(2)

A+B = 2

and

A-B = (1+sqrt(2))-(1-sqrt(2))

A-B = 1+sqrt(2)-1+sqrt(2)

A-B = 1-1+sqrt(2)+sqrt(2)

A-B = 2sqrt(2)

-------------------

Next, square both sides of the A equation

A^2 = (1+sqrt(2))^2

A^2 = (1+sqrt(2))(1+sqrt(2))

A^2 = 1(1+sqrt(2))+sqrt(2)(1+sqrt(2))

A^2 = 1+sqrt(2)+sqrt(2)+sqrt(2)*sqrt(2)

A^2 = 1+2sqrt(2)+2

A^2 = 3+2sqrt(2)

-------------------

Do the same for B

B^2 = (1-sqrt(2))^2

B^2 = (1-sqrt(2))(1-sqrt(2))

B^2 = 1(1-sqrt(2))-sqrt(2)(1-sqrt(2))

B^2 = 1-sqrt(2)-sqrt(2)-sqrt(2)*(-sqrt(2))

B^2 = 1-2sqrt(2)+2

B^2 = 3-2sqrt(2)

There's a bit of nice symmetry going on with A^2 and B^2, due to A and B having similar symmetric structures themselves.

-------------------

Lets add A^2 to B^2

A^2+B^2 = (3+2sqrt(2)) + (3-2sqrt(2))

A^2+B^2 = 3+2sqrt(2) + 3-2sqrt(2)

A^2+B^2 = 3+3+2sqrt(2)-2sqrt(2)

A^2+B^2 = 6

-------------------

Now onto the final event

We'll use the difference of squares rule twice

Afterward, apply substitution using the previous sections above.

A^4 - B^4 = (A^2)^2 - (B^2)^2

A^4 - B^4 = (A^2-B^2)(A^2+B^2)

A^4 - B^4 = (A-B)(A+B)(A^2+B^2)

A^4 - B^4 = (2sqrt(2))(2)(6)

A^4 - B^4 = 2*6*2*sqrt(2)

A^4 - B^4 = 24*sqrt(2)

(1+sqrt(2))^4 - (1-sqrt(2))^4 = 24*sqrt(2)

-------------------

To check this with your calculator, you can type in the following

(1+sqrt(2))^4 - (1-sqrt(2))^4 - 24*sqrt(2)

The result you should get should be 0, or very close to it

I'm using the property that if x = y, then x-y = 0.

Answer:

22.22222222

Step-by-step explanation:

Answer:

the race is 22 miles long.

Step-by-step explanation:

p         %

~~  =  ~~

w        100

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

the function is x^2-9, so all you have to do is replace x with a number. for example, 2.

so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.

after you graph a few plots (doing the same thing above), draw a line through all of them.

if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.

Answer: 1/16

Step-by-step explanation:

edge2020

Answer:

y + 1 = 5 (x+2)  in point slope form   or   y = 5 x + 9  in intercept slope form

Step-by-step explanation:

Answer:

y=5x+9

Step-by-step explanation:

Answer:

I can only help with 5 and 6 which both are A.

Explanation:

that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

Answer:

personally I believe its 6..

Step-by-step explanation:

10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6

Answer:

$203

Step-by-step explanation:

To find the cost he pays back you need to mulitply 200 x 3% x 6 months.

Because you can't multiply with different units, you convert them to the same unit. (Numeric form)

To convert, we divide 3% by 100 and get 0.03

6 MONTHs is equal to 1/2 of a year which is also 0.5.

Now that all of our numbers are using the same units, we can multiply.

200(0.03)(0.5)

200 x 0.03 is 6

6 x 0.5 is 3.

We need to add the total amount her brother pays her back and the interest.

He pays her $200 for the Tablet and gives her $3 for the interest.

200+3=203.

Answer:

[tex]\frac{4a-2}{2a+1}[/tex]

Step-by-step explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

= 2(2a - 1)(2a + 1)

4a² + 4a + 1 ← is a perfect square

= (2a + 1)²

Thus

[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]

= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator

= [tex]\frac{2(2a-1)}{2a+1}[/tex]

= [tex]\frac{4a-2}{2a+1}[/tex]

Answer:

The total cost for two adults and four children is $30.2

The change that you would get if you pay for the tickets with a $50 bill is $19.2

Step-by-step explanation:

$6.5 * 2 adults = $13

$4.3 * 4 children = $17.2

$13 + $17.2 = $30.2

$50 - $30.2 = $19.8

Hope this helps and pls do mark me brainliest if you can:)

Answer:

He didn't expand properly.

This part: 4(1 + 3i)

Step-by-step explanation:

4(1 + 3i) - (8 - 5i)

Expand:

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A on edge2020

Step-by-step explanation:

did the test

m = 36

Work

45 + 2.50m = 3.75m

       -3.75m    -3.75m

45 - 1.25m = 0

- 45             - 45

-1.25m = -45

-1.25     -1.25

    m = 36

Answer:

42/5

Step-by-step explanation:

If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P

Answer:

6 miles per hour or 6 miles

Step-by-step explanation:

If Karis can run 1 mile in 10 minutes, how many miles could he run in 1 hour at this same rate?

1 mile = 10 minutes

there are 60 minutes in 1 hour

10 minutes × 60 minutes = 6

6 × 1 mile = 6 miles so the answer is 6 mile per hour

The bigger bag have 13/60 kilogram more coffee.

A fraction is defined as numerical representation for part of a whole which represents a rational number.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that the bags come in two 4/5 kilogram and 7/12 kilogram

⇒ 4/5

⇒ 7/12

We will first establish that there has a comparable denominator.

Multiply by (12/12) in the fraction 4/5

⇒ 4/5 (12/12)

⇒ 48/60

Multiply by (5/5) in the fraction 7/12

⇒ 7/12 (5/5)

⇒ 35/60

Determine the difference between fractions as :

⇒ 48/60 - 35/60

⇒ 13/60 kilogram

Hence, the bigger bag have 13/60 kilogram more coffee.

Learn more about fraction here:

brainly.com/question/10354322

#SPJ5

Answer:

6:29

Step-by-step explanation:

Answer:

393

Step-by-step explanation:

Answer:

y = 1x -1

Step-by-step explanation:

m is your slope which is 1 and -1 is you y intercept

the slope intercept form is y = mx + b

which means the equation will be y = 1x -1