Answer:
The solution to the system of equations is:
Step-by-step explanation:
Given the system of equations
solving the system of equations
solve for y
Divide both sides by -23
Divide both sides by 10
Thus, the solution to the system of equations is:
First you multiply 3 x 1000 which is 3,000. Then you too 2 x 100 which is 200. Lastly you subtract 3000 from 200 and you get 2800.
So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
Answer:
The correct answer is A. 15.2 units
Step-by-step explanation:
The segment AB is congruent to the segment BC eg AB≅BC Why?
We can prove it with the triangle congruent theorem, postulate side-side-angle
We are watching triangle ΔABO and triangle ΔCBO, they are congruent
first element side OB=OB - common side
second element side OA=OC=r - radius of the circle
third element angle ∡ABO≅∡CBO=90°
According to the postulate side-side-angle we can conclude that triangles
ΔABO≅ΔCBO (triangles are congruent)
If they are congruent all of their elements are also congruent and therefore also
side AB=BC => AB+BC=AC, which is chord => 7.6+7.6=15.2 units
AC= 15.2 units ( chord )
Good luck!!!
Answer: d. 0.55
Step-by-step explanation:
The given probability distribution:
Number of Goals 0 1 2 3 4
Probability .05 .15 .35 .30 .15
The probability that in a given game the Lions will score less than 3 goals
= probability that in a given game the Lions will score less than or equal to 2
= 0.5+0.15+0.35
= 0.55
Hence, the correct option is d. 0.55
