Answer:
114m^2
Step-by-step explanation:
At first it looks like you can split this into 3 rectangles, but the easier way is to subtract the area that is cut out from the larger rectangle. In this image, we have an outer rectangle that measures 12m x 14m. In the middle, there is a 9x6 rectangular hole. Subtract the area of the hole from the total area of the rectangle.
Total area = 12 * 14 = 168
Area of hole = 6 * 9 = 54
Area left = Total area - Area of hole
= 168 - 54
= 114m^2
Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
Answer:
5 is less than or equal to y
Step-by-step explanation:
3<=y-2
3+2<=y
5<=y
where <= means less than or equal to
Answer:
AB = 5 units
Step-by-step explanation:
Calculate the length using the distance formula
d = 
with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)
AB = 
= 
= 
= 
= 5
Step-by-step explanation:
m<G = 180-90-37= 53°
measure of DG = 5*1.5= 7.5
