Answer:
5/6
Step-by-step explanation:
Multiply both sides of equation by 10/3.
d = 1/4 × 10/3
d = 10/12 = 5/6
Answer:
1. A, because 4(2)=8. 2 is the x.
2. B, because 2.5 x 4 = 10, which makes sense.
3. B, because 5x is the amount that you want to put into equal parts and the 3 is just being subtracted from the amount of the equal parts from the 5x.
4. C.
Step-by-step explanation:
Answer:
x = 60, y = 25
Step-by-step explanation:
Δ ABC has 3 congruent sides and is equiangular, thus
the 3 angles are congruent, all 60°
x = 60
∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then
∠ CBD = 180° - 60° = 120°, so
y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle
y = 25
Answer:
QH = 227.8 km ≅ 228 km
Step-by-step explanation:
∵ The bearing from H to P is 084°
∵ The bearing from P to Q is 210°
∵ The distance from H to P = 340 km
∵ The distance from P to Q = 160 km
∴ The angle between 340 and 160 = 360 - 210 - (180 - 84) = 54°
( 180 - 84) ⇒ interior supplementary
By using cos Rule:
(QH)² = (PH)² + (PQ)² - 2(PH)(PQ)cos∠HPQ
(QH)² = 340² + 160² - 2(340)(160)cos(54) = 51904.965
∴ QH = 227.8 km ≅ 228 km
Answer:
r= 1r- eR = r
Step-by-step explanation:
r-r = ER final answer to equal r= -ER
