9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
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The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
<span>4 mins ago - Which situation can be represented by the inequality? x<3 The movie is longer than 3 h. The ceiling is lower than 3 m. The backpack is heavier than 3 kg. The child is 3 years old. teamlargemouthox7s6p · Answer · Mathematics; 5 points; 42 seconds ago. Is table F a Portional relationship or is table G?</span><span>
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IT WOULD BE "D" I BELIEVE
HOPE IM RIGHT AND THIS HELPS
Answer:
60 square feet
Step-by-step explanation:
to get the square feet (or the area basically) you multiply the length and width together