Answer:
Step-by-step explanation:
slope=2/3
y=2/3 x
or y=2/3 x+0
y -intercept=0
Answer:
The numbers would have to be 7, 8 and 1.
Step-by-step explanation:
To find this, first note that 7 needs to be the middle number. So one will be greater and one smaller.
Next we know that the last two numbers must add up to 9. This is because after we subtract 7 from the total, we get 9.
Now since they need to equal 9 and be 7 apart, we can find that 8 and 1 are the only numbers that satisfy that stipulation.
Answer:
8) 10°
9) X can not be determined.
10) 10°
11) 12 units.
Step-by-step explanation:
8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.
So, 6x = 60°
⇒ x = 10°.
9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.
So, 6x - 5 = 6x
So, x can not be determined from this equation.
10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°
Hence, 3x = 30°
⇒ x = 10°
11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.
Again, ∠ X is given to be 60°.
Therefore, each angle is 60°.
So, the triangle XYZ is equilateral, and each side will be equal.
So, 3x + 8 = 4x - 4
⇒ x = 12 units. (Answer)
