Answer:
146
Step-by-step explanation:
Hey there to find the area of this shape we will divide it into 2 shapes first one is a trapezoid and the second one is a triangle. first, we find the area of a trapezoid. to find the area of a trapezoid we use the formula:
A = 
in this situation
a = 4
b = 14
h = 10
Now we plug it into the formula which will look like:
A = 
if we solve it:
4+14 = 18
18/2 = 9
9*10 = 90
so the area of the trapezoid is 90
Now we find the area of triangle. to find the area of a triangle we use the formula:
A = 
in this situation
b = 14
h = 8 ( because the height of the trapezoid was 10 and the height of both shapes combined is 18 so we do 18 - 10 = 8 )
Now we put the numbers into the formula which will look like:
A = 
if we solve it :
14*8 = 112
= 56
so the area of the triangle is 56
Now we add the area of both shapes:
56 + 90 = 146
area of the big shape = 146
Have a wonderful day
Answer:
Step-by-step explanation:
All we need to do is apply these points into the function themselves.
For point F, y = -0.25(4) = -1
For point G, y = -0.25(-8) = 0.25(8) = 2
Point F's y-coord is -1 and Point G's y-coord is 2.
1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.
2. ∠RPS
3. ∠RPS, ∠QPV, and ∠QRU.
4. ∠RPS = ∠QPV [vertical angles]
5. ∠RPS + ∠RPQ = 180° [linear pair]
<h3>What are Remote Interior Angles of an Exterior Angle in a Triangle?</h3>
The remote interior angles to an exterior angle in a triangle are angles that lie directly opposite the exterior angle of the triangle and do not share a vertex or corner of a triangle with the exterior angle.
1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.
2. ∠RPS is an exterior angle that has ∠PRQ and ∠RQP as its remote interior angles.
3. Exterior angles of the triangle are: ∠RPS, ∠QPV, and ∠QRU.
4. ∠RPS = ∠QPV [vertical angles]
5. ∠RPS + ∠RPQ = 180° [linear pair]
Learn more about remote interior angles on:
brainly.com/question/2638190
#SPJ1
Answer:
24
Step-by-step explanation:
We want to set up an expression involving 1, -6, -7, -3.
-6*-3--7+1
We use BODMAS to simplify:
We multiply to get:
18--7+1
We now add to obtain:
18--6
Note that negative negative gives addition.
Therefore:
18+6
This finally simplifies to:
24
