Answer:
(i)Here ∠HGB=∠AGE(vertically opposite angles)
∠HGB=110
∘
Now, for parallel lines l and m, with transversal t.
∠HGB+∠GHD=180
∘
(Angles on the same side of the transversal are supplementary)
110
∘
+∠GHD=180
∘
∠GHD=180
∘
−110
∘
=70
∘
(ii)For parallel lines l and m with transversal a
∠AIE=∠CJI (corresponding angles)
⇒x=100
∘
Any one shirt out of 4 can combine with any of the 4 socks
Number of combinations = 4 * 4 = 16
Step-by-step explanation:
the lowest common denominator (LCD) is the lowest common multiple (LCM) of the denominator numbers (the ones at the bottom of the fractions).
finding the LCM of 9 and 12 using the prime factor method :
9 = 3×3
12 = 2×2×3
the LCM is the combination of the longest chains per prime factor. which means we have 2×2 and 3×3 as longest chains for 2 and 3.
LCD = LCM = 2×2×3×3 = 36
2/9 turns into x/36 by multiplying by 4/4 :
2/9 × 4/4 = 8/36
5/12 turns into x/36 by multiplying by 3/3 :
5/12 × 3/3 = 15/36
so, the third answer option is correct.
Answer:
The value of X = 9
Step-by-step explanation:
X+13=22
X = 22-13
X = 9
The basketball fell at rate of 9.8 feet per second
Step-by-step explanation:
The rate is the distance per unit time
Here
Given
Distance = height = h = 53.9 feet
time = t = 5.5 sec
The rate will be given as:
Hence,
The basketball fell at rate of 9.8 feet per second
Keywords: Division, decimals
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