Answer:37.2 sec
Step-by-step explanation:
Given
Joel takes 81 sec for 14 mile long track
speed of joel mi/min=10.37 mi/min
Jason takes 69 sec for 14 mi track
so jason speed is
if both starts from same spot in opposite direction then
where x is distance covered by Joel
then x=6.44 miles
therefore time required
∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
<h3>
What specifically is meant by "triangle congruency"?</h3>
- When two triangles' three corresponding sides and angles are the same sizes, they are said to be congruent.
- These triangles can be moved, rotated, flipped, and turned to look exactly the same.
- They will coincide if they are moved.
- Congruence exists when two triangles satisfy the five congruence conditions.
- They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).
So,
Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
To Prove: ∠KPL ≅ ∠MRL
- As MR ⊥ PR (Given), then: ∠MRL = 90°
- Similarly, KP⊥ PR (Given), then: ∠KPL = 90°
So, ∠KPL ≅ ∠MRL.
Therefore, ∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
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The equation says
A=p(1+0.078)^t
So
Interest rate 0.078×100=7.8%
Quarterly interest rate 7.8%/4=1.95%
Answer:
Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each
Step-by-step explanation:
using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.
With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.
You can now take that equation and plug it into equation number 2:
5x+5(-2/3x + 6.92/12)=3.25.
solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25
add common terms: 5/3x=4.4/12
find the value of x, you will get x=0.22
plug the value of x (0.22) into one of your equations and solve for the y-value
The answer is false because player two has a greater chance of winning