Answer:
114 square meters
Step-by-step explanation:
The figure decomposes into two congruent trapezoids, each with bases 15 m and 4 m, and height 6 m. The area formula for a trapezoid is ...
A = 1/2(b1 +b2)h
__
Each trapezoid will have an area of ...
A = 1/2(15 +4)(6) = 57 . . . . square meters
The figure's area is twice that, so is ...
figure area = 2 × 57 m² = 114 m²
Answer:
x= 6/7z
Step-by-step explanation:
5x + 4z = 10z - 2x
5x + 2x = 10z - 4z
7x = 6z
x = 6/7z
<span>0.71428571 is your answer.</span>
Answer:
75°, 85°, 95°, 105°
Step-by-step explanation:
Since the 4 angles form an AP, then the 4 angles are
a, a + d, a + 2d, a + 3d
where a is the first term and d the common difference
The sum of the angles in a quadrilateral = 360° thus
a + a + d + a + 2d + a + 3d = 360, that is
4a + 6d = 360, substitute d = 10
4a + 60 = 360 ( subtract 60 from both sides )
4a = 300 ( divide both sides by 4 )
a = 75
Thus the 4 angles are
75°, 75° + 10° = 85°, 75° + 20 = 95°, 75° + 30° = 105°
11 because you would add the 14 and 2 which would be 9^16 then you would subtract 5 which would make it 9^11
