<h3>
Answer: Choice B</h3>
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Explanation:
If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).
Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from 
to 
. Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.
You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.
The statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK. Option B and E
<h3>How to determine the statements</h3>
Ray NL creates two angles in the lower right quadrant.
The two angles created form a total of 90°, so the two angles formed are complementary. The relation is given as;
∠MNL + ∠KNL = ∠MNK = 90°
Hence ∠MNL and ∠KNL are complementary
∠GNM and ∠JNK are both right angles (and also vertical angles). They sum up to180°. They can be said to be supplementary.
∠GNM and ∠JNK are supplementary
Thus, the statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK
Learn more about supplementary angles here:
brainly.com/question/2046046
#SPJ1
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
Answer:
Option C) $10.40
Step-by-step explanation:
Initial hourly wage = 8 $
raise = 30%
therefore, final hourly wage = (30/100*8) + 8
= 2.4 + 8 = 10.4$
Answer:
0 ≤ u < 7 and 0 > u > - 7 and combining those two we get - 7 < u < 7.
Step-by-step explanation:
The given inequality is |u| - 2 < 5 ....... (1)
We have to solve this inequality.
Now, from the definition of f(x) = |x| we get, f(x) = x, when x ≥ 0 and
f(x) = -x when x < 0.
Hence, for u ≥ 0, the equation of inequality (1) becomes
u - 2 < 5
⇒ u < 7
Therefore, the solution is 0 ≤ u < 7 (Answer)
Again, for u < 0, the equation of inequality (1) becomes
- u - 2 < 5
⇒ u + 2 > - 5
⇒ u > - 7
Therefore, the solution becomes 0 > u > - 7 (Answer)
