Answer:
x = 9
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Sum the given angles and equate to 360
90 + 109 + 9x - 5 + 85 = 360, that is
9x + 279 = 360 ( subtract 279 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Answer:
The highest common factor for both 102 and 153 is
GCF- 51
Step-by-step explanation:
51*3= 153
51*2=102
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
Here is how to get the Surface Area of a triangular prism.
First you must find their areas first then multiply it by 2 (because it has 2 faces) except for the base, since it has a triangular base.
A = bxh/2 A = 15 m x 30 m A = 30 m x 18 m
= (18 m x 12 m )/2 = 450 m^2 = 540 m^2
= 216 m ^2/2
= 108 m^2
Add all the faces:
SA = 2 (108 m^2) + 2 (540 m^2 ) + <span> 450 m^2
= 216 m^2 +1080 m^2 + </span><span>450 m^2
= 1,746 m^2
The answer is not found in your choices. The attached picture is also showing m (meter) as the unit used not cm.....so I guess you got the wrong choices.</span>