The three odd consecutive numbers are 27,29,31
Answer:
i) 4620
ii) 756
Note: to check whether answer is correct, take LCM of answer.
e.g. the answer for the first part is 4620, so once you take LCM of that, the answer should be 3³ × 7 × 2² in its index notation.
Step-by-step explanation:
840 = 2³ × 3 × 5 × 7. 8316 = 2² × 3³ × × 7 × 11
840 = 2³ × 3 × 5 × 7
8316 = 2² × 3³ × × 7 × 11
i) The greatest while number that will divide both 840 and 8316 exactly.
Ans: 2² × 3 × 5 × 7 × 11
= 4620
ii) The smallest whole number that is divisible by both 840 and 8316.
Ans: 2² × 3³ × 7
= 756
HOPE THIS HELPS. TAKE CARE! BYE
Answer:
- a. ∠Y, ∠W, ∠X
- d. 75°
- d. 5
Step-by-step explanation:
1. The sides, shortest to longest, are 5, 10, 12. The angles opposite are in the same order (smallest to largest). Those angles are ∠Y, ∠W, ∠X.
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2. The triangle isosceles, so the base angles are equal. The sum of angles in a triangle is 180°, so you have ...
30° + 2x = 180°
15° + x = 90° . . . . . divide by 2
x = 75° . . . . . . . . . . subtract 15°
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3. The midline of a triangle is half the length of the base it is parallel to, so ...
ML = 10/2 = 5
It is a <em>midline</em> because it joins the midpoints of two sides of the triangle.
Answer:
-8.
Step-by-step explanation:
y = 8 - 2x.
x = 8.
y = 8 - 2(8)
= 8 - 16
= -8.
Hope this helps!
Answer:
35 tons.
Step-by-step explanation:
70,000 divided by 2000 equals 35.