The number of quarts of berries Charlie picked is C
the number of quarts of berries Noel picked is N
since they picked a total of 92 quarts, C+N=92
Since Charlie picked 6 more quarts than Noel, C-N=6
add the 2 equations
C+N+C-N=2C=98
C=49
N=92-49=43
Noel picked 43 quarts.
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 Linear pair
∠4 + ∠5 +∠ 3 = 180 form straight line
∠1 + ∠2 = ∠4 + ∠5 + ∠3 from statement 1 and 2
∠3 +∠2 = ∠4 + ∠5 + ∠3 ∠1 and ∠3 are vertically opposite angles.
∠2 = ∠4 + ∠5 Proved
Answer:
RT = 12 units
Step-by-step explanation:
From the figure attached,
ΔSRQ is right triangle.
m∠R = 90°
An altitude has been constructed from point T to side SQ.
m∠RTQ = 90°
By applying geometric mean theorem in triangle SRQ,
x² = 16 × 9
x² = 144
x = √144
x = 12
Therefore, length of altitude RT is 12 units.
Answer:
4 + x =5
Step-by-step explanation:
By adding a variable you can set up an addition sentence
