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
First, find the area of the larger triangle:
A=1/2bh
A=1/2(702)
A=351 square yards
Second, find the area of the smaller triangle:
A=1/2bh
A=1/2(225)
A=112.5
To find the shaded area subtract 112.5 from 351:
351-112.5 = 238.5
The area of the shaded region is 238.5 square meters
35+5t=amount in tank A after t minutes
100-8t=amount in tank B after t minutes
same amount
35+5t=100-8t
add 8t both sides
35+13t=100
minus 35 both sides
13t=65
divide by 13 both sides
t=5
5 minutes
Step-by-step explanation:
23 by 13 is the answer cause 23 i s23
Answer:
17/163, or .104294
Step-by-step explanation:
hope that helps :)
