Answer:
The volume of this Prism is 30.
Step-by-step explanation:
Multiply the bases measurements together first. 3 x 10 = 30
Divide the base and height by 2. 30 / 2 = 15
Multiply the base area times the height. 15 x 2 = 30
Answer:
angle 1= 104 angle 2= 76
Step-by-step explanation:
angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.
x+66+2x=180 set the sum of the angles to 180
3x+66=180 combind like terms
3x=144 subract 66 from both sides
x=38 divide 3 from both sides
Now you put x back into the measurments
angle 1= (x+66) angle 2= 2x
(38+66) 2×38
angle 1= 104 angle 2= 76
Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.
Answer:
The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.
Step-by-step explanation:
Answer:
O A.
Step-by-step explanation:
<u>Option A</u> identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.
<u>Option B</u> identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is <u>not true</u> in general.
<u>Option C</u> same deal as Option A.
<u>Option D</u> identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.