All categories

3 years ago

ABCD is a square

Mathematics

1 answer:

Arlecino [84]3 years ago

4 0

Look at line CDF and see how it includes all 3 shapes.

The angle of the square is 90 and the equilateral triangle is 60 because 180/3

90 + 60= 150

180 - 150 = 30

Angle ADE is 30 degrees

Since it is an isosceles triangle, the base angels are the same so angle AED is also 30 degrees

You know that DEF is equal to 60 so...

60 + 30 = 90 degrees

Hope this helps and have a nice day!

You might be interested in

Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do

g100num [7]

Answer:

$y - x = 2$

Step-by-step explanation:

Given

Points (-2,0) and (-3,-1)

Required

Equation of Line

The first step is to determine the slope of the line; using the following formula

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{-1 -0}{-3 - (-2)}$

$m = \frac{-1}{-3 +2}$

$m = \frac{-1}{-1}$

$m = 1$

The next is to determine the equation of the line using any of the points

The formula is as thus;

$m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}$

Using $m = \frac{y - y_1}{x - x_1}$

$Where\ (x_1,y_1) = (-2,0)\ and\ m =1$

$1 = \frac{y-0}{x - (-2)}$

$1 = \frac{y-0}{x +2}$

$1 = \frac{y}{x +2}$

Multiply both sides by x + 2

$(x+2)*1 = \frac{y}{x +2} * (x+2)$

$(x+2)*1 = y$

$x+2 = y$

$y = x + 2$

Subtract x from both sides

$y - x = x - x +2$

$y - x = 2$

Hence, the equation of the line in standard form is $y - x = 2$

4 0

3 years ago

Haley cuts pieces of ribbons to make bookmarks. each bookmark was 1/8 foot long. draw a point on the number line below and label

Karo-lina-s [1.5K]

Wee need a photo of the number line to help u sorry

8 0

2 years ago

A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 yea

timama [110]

Answer:

= 1728km2

Step-by-step explanation:

From the formula A = PRT/100%

Where; A is final

P is initial

T is time taken

R is the rate

Therefore A = 3600 × (6/100) × 8

= 1728km2

6 0

3 years ago

Very hard problem someone help

miv72 [106K]

Answer:

Everything in the box currently is correct but the bottom two numbers are just -3 and -4

Step-by-step explanation:

7 0

1 year ago

Using the diagram below, find x.

Alona [7]

Answer:

$x=28$

Step-by-step explanation:

$we~know~ that~ all~ the~ angles ~in ~a ~triangle ~all~add ~up ~to ~180$ ° $That ~means: x + ( 2x + 5 ) + ( 3x + 7 ) = 180.~Since~ addition~ is~ associative,\\~x + ( 2x + 5 ) + ( 3x + 7 ) = 180~ is ~the~ same ~as~ x + 2x + 5 + 3x + 7 = 180.$

$Combining~ like~ terms,~ we ~get: 6x + 12 = 180.$

$After~ we ~move~ 12~ to~ the~ other~ side~ so ~the~ x~ is~ iscolated,~ we~ get:\\\ 6x = 168.\\$

$Dividing~ each~ side~ by~ 6 ~gets~ us ~to~: x = 28, ~so ~the~ answer~ to~ this~ question~ is D.\\$

$Hope~this~helps!~Have~a~blessed~day~ahead!$

$-Isabelle~Williams$

6 0

3 years ago