If the triangles are congruent, then their corresponding parts are also congruent.
First check to make sure the orientation of the triangles is correct. This is so we can easily compare corresponding parts.
Angle d is 180-90-52 = 38 degrees (sum of interior angles of triangle is 180 degrees), and this is the same as the angle on the triangle on the left.
Therefore the side with a length of 3 units is congruent to side c, which means side c is 3 units.
1/3 is the correct answer simplified
Answer:
the length is 98 meters and the width 98 meterss
Step-by-step explanation:
We have that the length is l and the width is w, we know that:
P = 2 * w + 2 * l
if we solve for it, we have:
l = P / 2 - w
Now, we know that the area is:
A = l * w
if we replace l, we are left with:
A = (P / 2 - w) * w
A = P * w / 2 - w ^ 2
we derive to know the maximum area and we equal 0 and we have:
A '= P / 2 - 2 * w
0 = P / 2 - 2 * w
w = P / 4
now for him:
l = P / 2 - P / 4
l = P / 4
Therefore, if we replace:
l = 392/4 = 98
w = 392/4 = 98
For the maximum area the length is 98 meters and the width 98 meterss
Answer:
The monthly net pay is $1555 .
Step-by-step explanation:
As given
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%.
Quintina’s gross pay per month is $2,100.
16% is written in the decimal form .
= 0.16
Federal income tax = 0.16 × Gross pay
= 0.16 × 2100
= 336
Monthly net pay = Gross pay - Federal income tax - State Income Tax - Social Security - Medicare
= 2100 - 336 - 89 - 85 - 35
= 2100 - 545
= $1555
Therefore the monthly net pay is $1555 .
Answer:
0.65:1
Step-by-step explanation:
