Answer:
∠ 1 = 65°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5x - 10 is an exterior angle of the triangle, then
5x - 10 = 3x + 40 ( subtract 3x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
The sum of the 3 angles in a triangle = 180° , so
∠ 1 + 40 + 3x = 180°
∠ 1 + 40° + 3(25) = 180°
∠ 1 + 40° + 75° = 180°
∠ 1 + 115° = 180° ( subtract 115° from both sides )
∠ 1 = 65°
Answer:
true
Step-by-step explanation:
Answer:
Let C be the cost price of the article. Then:
C(1+30%)=marked price
So:
C(1+30%)=C(1.3)
=1.3C
If the article is then marked down 35%, then its’ price would be:
1.3C(1–35%)=1.3C(.65)
=0.845 or 84.5% of its’ cost
Then:
0.845–1=-0.155
or, a 15.5% loss on the item
Answer:
The ant
Step-by-step explanation:
Because 1.5 is the same as a 1/3 so 1/3 of 12 is 4 and from 8 to 12 are 4 so is the ant.
Answer:
1. 8/24
2. 9/27
3. 5/15
4. 10/30
5. 2/6
6.1/3
Step-by-step explanation:
Start with 1/3 then multiply that by the number that is given.