Answer:
Step-by-step explanation:
The distance between two points A(x₁,y₁) B(x₂,y₂) is given by the formula as follows :
It is used to find the distance between two points. It is an application of the Pythagorean theorem. Usually, the distance covered is equal to the product of speed and time. But when speed and time in not given but coordinates are given, then only we can use this formula.
You are dealing with a triangle and a rectangle, so just find the area of both of them then add it together.
To find the height of the triangle and the other side of the rectangle you have to use Trigonometry.
To find the height of the rectangle you must do:
8cos(30)= 6.928
Then solve for the length of the triangle by doing:
8Sin(30) = 4
Now just find the area of both shapes.
1/2(4* 6.928)+6.928*9=<span>76.2084064606</span>
Answer:
similarity
Step-by-step explanation:
look , dude
the two triangles have the following features:
the angle B= angle C = 90 degree
the angle A= the angle F
so the third angle in the first triangle = the third angle in the second triangle
so you have one condition of similarity which is the three angles are equal
to get the answer for lengths :
ab/fe= constant of proportionality
thus ab/fe=2.5/5=.5
so ac/13=.5 thus ac=6.5
and 6/de=.5 so de=12
Answer:
C
Step-by-step explanation:
∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD
The 3 angles form a straight angle and sum to 180°, that is
4x + 5 + 6x + 3 + 5x + 7 = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus
∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )
Answer: 2 and 3
Step-by-step explanation:
all (-9,-7,-5) and (-33,-22,-11) are negative numbers less than -3. So those answers are possible answers. ps i had this question on my test too.