D. NI = AC is the needed information to prove ΔINF = ΔCAT by the ASA Postulate.
For the triangles to be congruent by ASA, the measurements of two angles and one side must be proven congruent. Since two sets of congruent angles are already given, one side must also be congruent.
When proving congruency using ASA, the congruent parts of the triangles must be in this order: Angle, Side, Angle. So, you have to the side that is between the two sets of congruent angles.
To solve this, we would need to figure out the values of
for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,

So
<em>cannot </em>be negative. So,

For this to <em>have </em>a solution, k needs to be greater than or equal to
.
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is
.
ANSWER: 
Answer:
<em><u>Here</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>error</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em>
<em><u>
</u></em>
<em><u>It</u></em><em><u> </u></em><em><u>should</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>been</u></em><em><u> </u></em><em><u>,</u></em>
<em><u>
</u></em>
Step-by-step explanation:
<em><u>Corrected</u></em><em><u> </u></em><em><u>formula</u></em><em><u>:</u></em>
<em><u>
</u></em>
<em><u>
</u></em>
<em><u>
</u></em>
<em><u>
</u></em>
<em><u>
</u></em>
<em><u>
</u></em>
Answer:
The 1st, 3rd, 4th, 5th are correct
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>