Answer:
∆<em>LMN</em> ~ ∆<em>LQR</em>
Step-by-step explanation:
All you have to do is match their similar corresponding angles.
* These are congruent by the Angle-Angle Similarity Postulate, where at least two angles of both triangles are congruent, which in this case is ∠<em>L</em> [Vertical Angles Theorem] and ∠<em>Q</em> & ∠<em>M</em>. This obviously gives us our third side in each triangle, which must sum up to 180° altogether, therefore you have your answer.
I am joyous to assist you anytime.
For each point, add 7 to the x coordinate and take away 1 from the y-coordinate.
<span>I am using a "tick-mark" to show the corresponding point, after "translation" (movement in a straight line). </span>
<span>A(-2, 2) becomes A'(5, 1) </span>
<span>Because all points have been translated in a straight line, in the same direction (the direction [7 -1]) by the same distance, the new figure A'B'C'D' will have the same shape, same size and same orientation as the original image. </span>
<span>It will simply be in a different location on the graph. </span>
<span>If you were to join A with A', B with B', and so on, you would see that all 4 vectors are parallel and are of equal length. </span>
<span>If you were to compare the segment AB (side AB of the original quadrilateral) with the segment A'B' (in the new quadrilateral), you would see that they are parallel (same slope) and have the same length. </span>
<span>Same with the other sides. </span>
<span>Tow figures that are identical (except for their location) are said to be "congruent". </span>
<span>--- </span>
<span>The new rectangle will be far to the right (7 units in x) and a bit below (-1 in y) from the old one. </span>
<span>You should draw the two figures on a graph, and you will see a lot of this very clearly.</span>
Answer:
24
Step-by-step explanation:
Since 15 tamales is $10, you can take 10/15 to get the price of one tamale, 0.67. Since you know the price of one tamale now, you can multiply 0.67*36 to get that 36 tamales is equal to $24
Answer:
None
Step-by-step explanation:
Answer:
C) The expected value is -$2000, so the detective should not take the job.
Step-by-step explanation:
The expected value is the sum of products of income and probability:
E = -10,000·1.00 + 80,000·0.10 = -10,000 +8,000 = -2,000
The detective can be expected to lose money on the job, so should not take it.
