Step-by-step explanation:
It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation.. We are going to write the time not in days, hours and minutes, but only hours. This means that we have to write 58 days as hours and 30 minutes as hours. 1 day is 24 hours, so 58 days are 58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32 =1,200+192=1,392 (hours) 60 minutes are 1 hour, so 30 minutes are 0.5 hours. Thus 58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours Answer: 1,407.5 hours
Answer:128
Step-by-step explanation:
y+yx
When x=15, y=8
8+(15×8)
=8+120=128
Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
I found 50, making a rule of three where
40__10
x___25
x=10
40+10= 50
( I hope I'm right, but from what I understand this would be the resolution)
5/10 in 3 equivalent forms is: 1/2 2/4 4/8
