ABCD is a trapezium.
10 cm
A
B
7 cm
9 cm
D
С
15 cm
Calculate the area of ABCD.

ΔABD overlaps to ΔAEC

ABC triangle is isosceles => ∡B ≡ ∡C

AB = AC

∡B ≡ ∡C  } => ΔABD ≡ ΔAEC => ΔABD overlaps to ΔAEC

BD = EC

Step-by-step explanation:

1/3(9x+3)=3x+1 multiply inside the parenthesis with 1/3

(9x+3)/3 = 3x + 1 multiply both sides of the equation by 3

9x + 3 = 9x + 3 add like terms

0 = 0 which means there are infinitely many solutions for this equation therefore infinitely many values for x

Answer:

x is any number

infinite solutions

Step-by-step explanation:

1/3(9x+3)=3x+1

Distribute

3x+1 = 3x+1

Subtract 3x from each side

1=1

Since this is always true, x can be any value

Answer:

[tex]height = 4[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know:

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

Where [tex]c[/tex] is the slope.

Here we see the following:

[tex]a = 3\\b = ???\\c = 5[/tex]

Plug in the numbers:

[tex]3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\b = \sqrt{16}\\ b = 4[/tex]

Answer:

Step-by-step explanation:

let us assume that the amount in her accounts compounds annually

Given data

principal p= $160

interest rate r= 3%= 0.03

time t= 30 years

At the end of 30 years the money she will will have can be expressed as

A= P(1+r)^t

A= 160(1+0.03)^30

A= 160(1.03)^30

A= 160*2.42726

A= $388.36

in 30 years she will have $388.36

Answer:

Step-by-step explanation:

[tex]10\times\:2+9+3.42\\\\\mathrm{Multiply\:the\:numbers:}\:10\times\:2=20\\=20+9+3.42\\\\\mathrm{Add\:the\:numbers:}\:20+9+3.42\\=32.42[/tex]

Answer:

32.42

Step-by-step explanation:

10 . 2 + 9 + 3 . 42

10×2 = 20

20 + 9 + 3.42

20 + 9 + 126 = 32.42

Answer: 0.195

Step-by-step explanation:

given data:

population = 2000 people.

people Who are over 6 feet tall = 389.

Solution:

the point estimate of people over 6feet tall

= no of people over 6 feet tall / total population size

= 389/2000

= 0.195

the point estimate of people over 6 feet tall is 0.195

Answer:

2 bills and 1 coin

Step-by-step explanation:

Given

[tex]Lite = \$3.50[/tex]

Required

Fewest number of bills and coins she can get receive as change

FIrst, we need to calculate her change

Change = Amount Paid - Lite

[tex]Change = \$10 - \$3.5[/tex]

[tex]Change = \$6.5[/tex]

Next is to split the change to bills and coins

[tex]\$6.5 = \$5\ bill + \$1\ bill + 50 cents[/tex]

The $5 and $1 makes 2 bills while the 50 cents makes 1 coin.

Hence, the minimum she could receive is  2 dollar bills and 1 coin as change

Answer:

6

Step-by-step explanation:

since he has 2 pounds of ground beef and we are dividing these pounds into 8th's he would have a total of 16/8 meaning 8/8 for each pound of ground beef.

and since he used 5/8 for each of the two huge meat balls that means he used a total of 10/8 in total leaving 6/8.

[tex]16/8 = 8/8 + 8/8\\[/tex]

[tex]5/8 + 5/8 = 10/8\\16/8-10/8=6/8[/tex]

so since he is making 1/8 pound meatballs and he has 6/8 pounds of ground beef left he can make 6 of the 1/8 pound meatballs

Answer:

[tex]b=20[/tex]

Step-by-step explanation:

So we have the equation:

[tex]b=(\sqrt{4})^2+4^2[/tex]

The square root and the square cancels out for the first term.

And 4 squared is 16.

So:

[tex]b=4+16[/tex]

Add:

[tex]b=20[/tex]

Answer: 20

Solution Steps

Immersive Reader

sqrt4^2​+42

Calculate 4 to the power of 2 and get 16.

sqrt16+4^2≈20

Calculate the square root of 16 and get 4.

4+4^2≈20

Calculate 4 to the power of 2 and get 16.

4+16=20

Add 4 and 16 to get 20.

20

Answer:  h=3v/pir^2 +1

Step-by-step explanation:

sorry i can't use the pi symbol so i'll be referring to pi as pi

^2 is squared

1/3pir^2(h-1) =v

simplify 1/3pir^2

pi/3r^2(h-1)=v

multiply both sides by 3 and simplify

3*pi/3r^2(h-1)=3v    <-- simplify = pir^2(h-1)=3v

divide both sides by pir^2

pir^2(h-1)/ pir^2 = 3v/ pir^2

simplify

h-1 = 3v/pir^2

add 1 to both sides

h-1 +1 = 3v/pir^2+1

answer/ simplify:

h=3v/pir^2 +1

Simply the equation -2(-3 + 2z)

6  −  4z

Answer:

2

Step-by-step explanation:

-20 divied by -10 is two

2 negavties make a positive

Answer:

2

Step-by-step explanation:

When both numbers are negative it canals out so the answer is positive.

Answer:

Hey there!

Area of a square: Length(Length)

324=Length^2

Length=18 ft.

Let me know if this helps :)

Answer:

D. 81ft

Step-by-step explanation:

Area covered by the carpet = 324ft

Room being a square , has 4 equal sides = [tex]\frac{324}{4}[/tex] ft = 81 ft

The length of Asim's living room is 81 ft

Answer & Step-by-step explanation:

Make a fraction using the numerator:

[tex]\frac{48}{15} =\frac{x}{y}[/tex]

Simplify the fraction. Both the numerator and the denominator are multiples of 3, so divide top and bottom by 3 to the lowest possible integer:

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

Insert into the equation:

[tex]\frac{48}{15}=\frac{16}{5}[/tex]

:Done

You can use different numbers too

answer 5/6 decimal form is 0.83

Answer:

5/6

Step-by-step explanation:

100 ÷ 4 = 25

144 ÷ 4 = 36

Under root of 25 = 5

Under root of 36 = 6

Final Answer = 5/6

Hope this helps!

Sorry for the mistake before I did not see the under root!

Answer:

20

Step-by-step explanation:

(5x4x3x2x1)÷(3x2x1)=

120÷6=

20

Answer:

The answer is B. 50°

Step-by-step explanation:

Got 100% on the test :)

The value of ∠MHJ is 50°. Therefore, option B is the correct answer.

We need to find the value of ∠MHJ.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.

Here, ∠MHJ and ∠KHL are two vertically opposite angles.

So, (x+15)°=(2x-20)°

⇒x=35°

Now, ∠MHJ=(2x-20)°=50°

Therefore, option B is the correct answer.

To learn more about the vertically opposite angles visit:

https://brainly.com/question/68367.

#SPJ6

Answer:

78.52 cm sq.

Step-by-step explanation:

Area = pi x r^2

A = pi x (5)^2

A = pi x 25

A = 3.141 x 25

A = 78.52 cm sq.

Answer:

P ,Q ,R

Step-by-step explanation:

Three or more points that doesn't lie on a straight lie are Non collinear points

Answer:

Los resultados están debajo.

Step-by-step explanation:

Dada la siguiente información:

y = 20.000 + 1.500x

Siendo:

y= costo total

x= kilometros recorridos

Entonces, si recorrio 20km:

y= 20.000 + 1.500*20

y= $50.000

Ahora, si pago $140.000, cuantos km recorrio:

140.000= 20.000 + 1.500*x

120.000/1.500= x

x= 80km

Answer:

1300

Step-by-step explanation:

Actual answer: 1290

Answer:

[tex]5x^2 + 10[/tex]

Step-by-step explanation:

[tex]4x^2 + x^2 = 5x^2\\7x + (-7x = 0\\-4 + 14 = 10[/tex]

Oh boy, here we go again

First we must convert  1 2/3 to an improper fraction.  By doing this, we get 5/3  (3/3 + 2/3)

So now we have 273 /  5/3

To divide this easier we can do something that when I learned it was called (keep, change, flip)  which basically means keep the first fraction, change the sign from division to multiplication, and flip the second fraction

This now turns into:  273/1 * 3/5

Combine 273 and 3/5

273⋅3/5

Multiply 273

by 3

819/5

is your answer

Answer: Neither Sneha nor the credit card company owes money.

Answer:

10.5

Step-by-step explanation:

Ordering the set of data by ascending order gives us the set {6, 7, 8, 9, 10, 11, 12, 15, 16, 17}. Since there are 10 terms and the median is the middle term, we know that the median will be the average of the 5th and 6th terms, which are 10 and 11. The average of 10 and 11 is (10 + 11) / 2 = 10.5.

Answer:

Step-by-step explanation:

  8 - 4(-x + 5) =

= 8 - 4•(-x) + (-4)•5 =

= 8 + 4x - 20 =

= 4x - 12

Answer:

2x-18 is the answer.

Step-by-step explanation:

=(5x-10)-(3x+8)

Opening the brackets to simplify

=5x-10-3x-8

Combining the like terms

=5x-3x-10-8

=2x-18

Hope it will help you ^_^

Answer:

2(x-9)

Step-by-step explanation:

open the brackets by multillying - sign with the entries of the second bracket

5x-10-3x-8

adding like term variables

2x-18

taking common

2(x-9)

Answer: a. 8.25t

Step-by-step explanation:

From the question, we are informed that a movie theater charges $8.25 per ticket. The expression that models the cost of buying t tickets is gotten when we multiply $8.25 by t. This will be:

= 8.25 × t

= 8.25t

Therefore, expression that models the cost of buying t tickets is 8.25t. The correct answer is option A.

Answer:

Irrational numbers are contradictory, even when combined with a rational number.

Step-by-step explanation:

Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.