Answer:
A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle
x = 3 m
Step-by-step explanation:
The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.
If we find the ratios of their given corresponding side lengths, their ratios would be the same.
Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½
½ is the scale factor. Therefore, both triangles are similar.
To find x, multiply the corresponding side length of the other triangle by the scale factor.
x corresponds to side length that is 6 m in the other triangle.
Therefore,
x = 6*½ = 3 m
Prime is the answer to the question
Answer:
, 
, 
Step-by-step explanation:
In this problem we have that
we have
substitute the values and solve for x
Group terms that contain the same variable in the right sides
Combine like terms in the right side
<u><em>Find the value of bd</em></u>
Find the value of bc
<u><em>Find the value of cd</em></u>
Answer:
volume of cuboid=l×b×h=8×4×4=128cm³
volume of half cylinder=1/2(π(d/2)²h)=1/2×22/7×8=12.57cm²
volume of figure=128-12.57=115.43cm²
Answer:
A
Step-by-step explanation:
1st package weighs 
pounds;
2nd package weighs 
pounds;
3rd package weighs 
pounds;
First, add whole numbers:
Now add fractions:
So, the total weight is
