Answer:
C, D, E
Step-by-step explanation:
The numbers of marbles are:
- Janae - m;
- Jerome - m;
- Gwen - 4(m+2);
- John - 8m+4.
Janae, Jerome, and Gwen combined have
m + m + 4(m+2) = m + m +4m + 8 =6m + 8 marbles.
If John has more marbles than Janae, Jerome, and Gwen combined, then
So, possible answers are
- Janae and Jerome each have 3 marbles;
- Janae and Jerome each have 4 marbles;
- Janae and Jerome each have 5 marbles.
Answer:
B
Step-by-step explanation:
Using the Sine Rule in ΔABC
= 
= 
∠C = 180° - (82 + 58)° = 180° - 140° = 40°
Completing values in the above formula gives
= 
= 
We require a pair of ratios which contain b and 3 known quantities, that is
=
OR
= 
→ B
We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118
the answer is 9304=9 thousands 3 hundreds 4 ones
Parallel lines always have the same slope. In fact that is the definition of parallel lines :P (Technically they have the same slope and different y-intercepts, because parallel lines can never intersect...)
D
