Answer:
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
Step-by-step explanation:
we know that
A reflection and a translation are rigid transformation that produce congruent figures
If two or more figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
Triangles RST, R'S'T and R''S''T'' are congruent
That means
Corresponding sides
RS≅R'S'≅R''S''
ST≅S'T'≅S''T''
RT≅R'T'≅R''T''
Corresponding angles
∠R≅∠R'≅∠R''
∠S≅∠S'≅∠S''
∠T≅∠T'≅∠T''
therefore
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
This is the concept of applications of polynomial equations. Given that the height of the ball is modeled by the function:
h(t)=16t^2-64t
the maximum height will be calculated as follows;
h(t)=16t(t-4)
therefore:
t=0 or t=4
h(4)=-64(4)+16(4^2)
=0
Well you need to explain what is going on here so try to rephrase this.
Answer:
Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.
Step-by-step explanation:
An exterior angle is an angle outside of the shape (hence ex meaning out). However, an ALTERNATE angle is an angle opposite of a transversal line of another angle. The angles on the same transversal line of 5 are 8, 7, 9, 10, 12, and 11. However, we are looking for ALTERNATE EXTERIOR angles not just exterior. 8, 7, 9, 10, and 12 are just exterior which leaves angle 11 as alternate exterior. Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.
Answer:
Step-by-step explanation:
Having a job that pays at $7 per hour is quite nice. And the question says that if he does overtime, he gets 1 and a half times the normal price of $7. This means that, for every overtime he works, he will get paid at
7 * 1.5 = $10.5
The question didn't state what, but if it's anything to go by the wages expected to be paid then I'd say the job isn't worth it if it's overly stressful. I said so because most jobs out there aren't really about the workers, but the money instead.
