Answer: 118
Explanation:
Since ∠A=∠ADB: ∠ADB=61°. The sum of the interior angles of any triangle is 180°, thus:
61°+61°= 122
180-122=58°
∠DBA=58°
Since triangle BCD is an equilateral triangle, all the interior angles are the same:
180/3=60
∠DBC=60°
∠BCD=60°
∠CDB=60°
Since angles DBC and DBA make up angle ABC, just simply add the two angles together:
58+60=118°
Therefore, ∠ABC is 118°.
Answer:
4/5
Step-by-step explanation:
Simplify the following:
7 + 1/5 - (6 + 2/5)
Put 6 + 2/5 over the common denominator 5. 6 + 2/5 = (5×6)/5 + 2/5:
7 + 1/5 - (5×6)/5 + 2/5
5×6 = 30:
7 + 1/5 - (30/5 + 2/5)
30/5 + 2/5 = (30 + 2)/5:
7 + 1/5 - (30 + 2)/5
30 + 2 = 32:
7 + 1/5 - 32/5
Put 7 + 1/5 - 32/5 over the common denominator 5. 7 + 1/5 - 32/5 = (5×7)/5 + 1/5 - 32/5:
(5×7)/5 + 1/5 - 32/5
5×7 = 35:
35/5 + 1/5 - 32/5
35/5 + 1/5 - 32/5 = (35 + 1 - 32)/5:
(35 + 1 - 32)/5
35 + 1 = 36:
(36 - 32)/5
| 3 | 6
- | 3 | 2
| 0 | 4:
Answer: 4/5
Well to find out what n is, let's look at the whole numbers around the value of 6.7, so it would be 6 and 7.
From the list, square root of which larger number will provide you with 6 and 7.
It would be C. Since the square root of 36 is 6 and square root of 49 is 7. Knowing this the square root of n, some unknown number must then be between the numbers of 36 and 49, as the square roots of those numbers respectively are 6 and 7. Square root of n which is 6.7 is found between them.
Answer:
⅙
Step-by-step explanation:
1/3! = 1/6 or 0.1667
10.) The lines that the angles are on are not parallel to each other. 11.) Angle 2 is also 60 degrees because they're corresponding angles. They're just on different lines but the place they meet the intersecting lines are the same. 12.) A real life situation that uses parallel lines are a rectangular room's walls that are parallel to each other.
