Answer:
| 10 -10 1 |
| 1 -2 -4 |
| -8 13 -24|
Step-by-step explanation:
First multiply each element in matrix A, this gives:
| -6 - 2 -3 |
| 1 -6 -4 |
| -4 5 0 |
Now we multiply each element in matrix B by 4, this gives:
| -16 8 -4 |
| 0 -4 0 |
| 4 -8 24 |
Finally subtract this from the first matrix ( subtracting element by element) gives:
| 10 -10 1 |
| 1 -2 -4|
| -8 13- 24|
She began with 20.
If she bought 7 more books and ended up with 17, that means she had ten beforehand. If she had half remaining, we simply double it, thus getting 20.
8x100,000,000+1x10,000,000+2,000,000+6x1
Answer:
Step-by-step explanation:
→ Multiply everything by 2
→ Expand out the bracket
→ Simplify
→ Divide both sides by 4 to isolate x
Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
