Answer:
· This image may result from the construction of <em>an angle congruent to a given angle</em>.
· The next step in this construction is to set the compass width to <em>arc JK and draw an arc centered at L intersecting the existing arc through L</em>.
Step-by-step explanation:
If the step shown above results in point of intersection P, and the construction is completed by drawing ray DP, then this construction produces triangle DLP congruent to triangle BKJ. The angle at D will be congruent to the angle at B because CPCTC. Hence an angle congruent to a given angle will have been constructed.
9.8(k+9)−5.7
Distribute:
=(9.8)(k)+(9.8)(9)+−5.7
=9.8k+88.2+−5.7
Combine Like Terms:
=9.8k+88.2+−5.7
=(9.8k)+(88.2+−5.7)
=9.8k+82.5
Answer:
=9.8k+82.5
The answer is A. Deepak is 10 years older than Nina, so it cancels out B and D. And Deepak is 3 times Nina's age, not the other way around.
The hours worked would be 7 and 10 minutes.
<em>Answer,</em>
<em><u>S = -16</u></em>
<em>Explanation,</em>
<em><u>Step 1: Simplify both sides of the equation.</u></em>
<em>13 + 11s = − 15 + 8s − 20</em>
<em>13 + 11s = − 15 + 8s + − 20</em>
<em>11s + 13 = (8s) + (</em><em><u>− 15</u></em><em> + </em><em><u>− 20</u></em><em>) </em><em>(Combine Like Terms)</em>
<em>11s + 13 = 8s + − 35</em>
<em>11s + 13 = 8s − 35</em>
<em><u>Step 2: Subtract 8s from both sides.</u></em>
<em>11s + 13 − 8s = 8s − 35 − 8s</em>
<em>3s + 13 = − 35</em>
<em>Step 3: Subtract 13 from both sides.</em>
<em>3s + 13 − 13 = − 35 − 13</em>
<em>3s = − 48</em>
<em><u>Step 4: Divide both sides by 3.</u></em>
<em>3s/3 = −48/3</em>
<em>s = -16</em>
<u><em>Hope this helps :-)</em></u>
