The dimensions of a lawn shaped like a trapezoid are given in meters. 18 meters, 4 meters, 5 meters, 12 meters. What is the area of the lawn in square meters?

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

Answer:

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

Answer:

303

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

P × R × T÷ 100

1,715,760.00×27,396.00×44,604.00÷100

2.096609278659÷100

20,966,092,786,598.4

=31

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

x=6

Step-by-step explanation:

6x+4=2x+28

4x=24

x=6

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!

Answer: The bird would fly 3 meters in 1 second. Have a good day!!

30 divided by 10 is 3. Therefore, 3 is your answer!

Answer:

No solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -2x - 6

2x + y = 5

Step 2: Solve for x

Substitution

Here we see that -6 does not equal 5.

∴ the systems of equations has no solution.

Answer:

Step-by-step explanation:

B

Answer:

Its would be A

Step-by-step explanation:

4 X 64=256

Hope this helped. If you check its simple math really! :))

Answer:

-3(4 - 6x)

-12 +18x

=18x - 12

Step-by-step explanation:

You multiple the negative 3 with positive 4 to get negative 12.

An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer

Answer:

925000%

Step-by-step explanation:

Answer:

Total cost = $4.08

Step-by-step explanation:

Given the following data;

Selling price = $3.4

Shipping and handling fee = 20%

To find the total cost;

First of all, we would determine the extra fee;

Extra fee = 20/100 * 3.4

Extra fee = 68/100

Extra fee = $0.68

Now, we can solve for the total cost using the formula below;

Total cost = selling price + extra fee

Total cost = 3.4 + 0.68

Total cost = $4.08

Answer:

when the daughter is 26 and the mom is 52

Step-by-step explanation:

Her mom had rachel when she was 26 and since rachel isnt 26 and her moms past thw age of 26 the first rwo multiples of 26 are the answers whic is 26 and 52.

Answer:

10 appetizers

Step-by-step explanation:

4/2 = x/5

20 = 2x

x = 10

Answer:

x=7/4

Step-by-step explanation:

cross multiply and divide both sides

Answer:

Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!

Answer: [tex]\frac{5}{4}\ ft[/tex]

Step-by-step explanation:

Given

Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long

Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long

Converting it to a fraction

Maria kite tail

[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]

Max's kite tail

[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]

Difference between lengths

[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]

Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail

Answer:

C and D

Step-by-step explanation:

Kil represents one thousand, and milli represents one thousandth.

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer:

the answer is -29

Step-by-step explanation:

Hope this helps have a good rest of your day :)

Answer:

I think its -15

Step-by-step explanation:

you take -7 and add it to -22 but since it's a negative + a negative it should equal a positive so you just normally subtract -7 from -22 and get -15

Answer:

sin 60 = 6 sqrt(3) / a

sqrt(3)/2 = 6 sqrt(3) / a

1/2 = 6/a

a =12

sin 30 = b / a

1/2 = b / 12

b=12/2

b=6

Step-by-step explanation:

Answer:

[tex]\£3840.2[/tex]

Step-by-step explanation:

Let P denotes principal amount, T denotes time period and R denotes rate of interest.

Amount = [tex]P(1+\frac{R}{100})^T[/tex]

Amir pits £3035 into a bank account. The account pays 4% compound interest each year.

Put [tex]P=\£3035,\,R=4\%,\,T=6[/tex]

Amount = [tex]3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2[/tex]

Therefore, Amir will have [tex]\£3840.2[/tex] in the account after 6 years.

Answer:

click the squares its easy and simple

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.