Answer:
3) 5 centimeters
Step-by-step explanation:
Plug 3 and 4 into the formula for the Pythagorean Theorem. You get 5.
Answer:
1) 12
2) c=-25
3) x = -16 2/3
Step-by-step explanation:
1) ..........................
- 6*(4-10+8) =
- 6*(- 6+8) =
- 6*2=
- 12
2) ..........................
- 34 + 2c = -16
- 2c = - 16 -34
- 2c = -50
- c = -50/2
- c=-25
3) ..........................
- 40 = -3x - 10
- 40+ 10 = -3x
- -3x = 50
- x = 50/-3
- x=-16 2/3
Answer: Length of side QR is 16 units.
Step-by-step explanation: Given that dimensions of PQR
QPR= 90degrees
B. D=0.25n + 25
D=total n=number of hours 0.25=price per hour 25=the one time fee
Answer:
(1) D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.
Step-by-step explanation:
1)
From the given figure it is noticed that


According to SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.
The included angles of congruent sides are angle C and angle G.
So, condition "Angle C is congruent to to Angle F" will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.
2)
If 
According to SSS postulate, if all three sides in one triangle are congruent to the corresponding sides in the other.
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.
3)
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

Therefore angle C and angle F cannot be congruent to each other.