Answer:
Yes it possible to finish with a negative score. The minimum score you could get is -50
Step-by-step explanation:
Answer:
the consecutive integars is 11,12,13,14,15
Step-by-step explanation:
- let the first integar be described as y
- since they are consecutive ( following each other)
- the second will y + 1
- the third is y + 2
- the fourth is y + 3
- the fifth y + 4
then it says the sum of the first and 4 times the third = 60 less than 3 times the sum of the second, fourth and fifth
60 less than 3 times the sum of the second, fourth and fifth means that 3 times the sum of the second, fourth and fifth minus 60
y+ 4(y+2) = 3{ (y +1) +(y+3) + (y+4)} -60
y + 4y + 8 =3[ y +1 + y + 3 +y+4} - 60
5y +8=3(y+y+y+1+3+4)-60
5y+8=3(3y+8)-60
- simplify and open the brackets
5y+8=9y+24-60
5y+8=9y-36
- subtract 8 from both sides
5y+8-8=9y-36-8
5y=9y-44
- subtact 9y from both sides
5y-9y=9y-9y-44
-4y=-44
- divide -4 from both sides
-4y/-4=-44/-4 ( minus divided by minus is plus
y = 11
- the first integar is y = 11
- the second will y + 1 = 11+1 = 12
- the third is y + 2 = 11 +2 = 13
- the fourth is y + 3 = 11 + 3 = 14
- the fifth y + 4 = 11 + 4 = 15
- the consecutive integars is 11,12,13,14,15
Answer:
(E) 90°
Step-by-step explanation:
The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.
Any angle of a rectangle is 90°.
_____
Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.
Answer:
Option B.
Step-by-step explanation:
It is given that ΔSRQ is a right angle triangle, ∠SRQ is right angle.
RT is altitude on side SQ, ST=9, TQ=16 and SR=x.
In ΔSRQ and ΔSTR,
(Reflexive property)
(Right angle)
By AA property of similarity,
Corresponding parts of similar triangles are proportional.
Substitute the given values.
On cross multiplication we get
Taking square root on both sides.
The value of x is 15. Therefore, the correct option is B.
Answer:
I believe the answer is number 3.
Step-by-step explanation: