Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
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The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)
A. one solution
B 4(2x-5) = 4
2x-5 = 1
2x = 6
x=3
A reflection across the x-axis has the rule:
(x,y)→(x,-y).
Then:
- A(-1,-1)→A'(-1,1),
- B(0,1)→B'(0,-1),
- C(4,2)→C'(4,-2),
- D(6,0)→D'(6,0),
- E(3,-3)→E'(3,3).
Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).
This isn’t easy due to fractions but you just need to find a common denominator, what goes into 9 evenly and also goes into 4 evenly. 36 works and it is the lowest common denominator. What number multiplied by 9 gets you 36? (36/9) 4. So Emma uses 4/36ths of a gallon of gas to get 9/36ths of the way to work. So you take (4/36) or .25 and multiply that by 9 to get...
2.25 trips
