Pretty sure that it is the first answer, the one with the back point between 6 & 8
Answer:
To the right
Step-by-step explanation:
The negatives on a number line are on the left side and the positives on the right.
see this as an example:
g(x) = 0.4x - 1.8
Since the output, or g(x), is 4.6, substitute that number in for g(x).
4.6 = 0.4x - 1.8
Add 1.8 to both sides of the equation.
4.6 + 1.8 = 0.4x - 1.8 + 1.8
6.4 = 0.4x
Now, divide 6.4 by 0.4.
The answer is x = 16. The output is also x.
0.06(x-6000) = 2745
0.06x - 360 = 2745
0.06 = 2745 + 360
0.06 = 3105
x = 3105 / 0.06
x = 51750
the answer is 51750, hope this helps
LM = MN by using the HL postulate of congruence
Step-by-step explanation:
Let us revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ
∵ LPQN is a rectangle
∴ LP = NQ ⇒ opposite sides in the rectangle
∴ LN = PQ ⇒ opposite sides in the rectangle
∴ m∠ L = m∠P = m∠Q = m∠N = 90° ⇒ four angles are right angles
In the 2 triangles PLN and QNM
∵ LP = NQ ⇒ proved
∵ PM = QM ⇒ Given
∵ m∠ L = m∠N = 90 ⇒ proved
- By using the 5th case above, two right triangles are congruent if
hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of
the 2nd right Δ
∴ Δ PLM ≅ Δ QNM ⇒ HL postulate of congruence
∴ LM = MN
LM = MN by using the HL postulate of congruence
Learn more:
You can learn more about rectangles in brainly.com/question/6594923
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