Answer:
67.38°
Step-by-step explanation:
The diagonals of a rhombus intersect at their midpoints and make a right angle. They also divide the angles of the rhombus in two equal angles.
So, to find the acute angle of the rhombus, we can use the tangent relation of half this angle in the small triangle made when drawing the diagonals:
tan(angle/2) = 4 / 6
tan(angle/2) = 0.666
angle/2 = 33.69
angle = 67.38°
So the acute angle of the rhombus is 67.38 degrees.
Please check the image attached for better comprehension.
Mr.chen drove 23 miles south from where he started. 3.25×50=162.5 is what you have to do first because it said that he drove north for 3.25 hours and each hour he drives for 50 miles. Then you have to subtract 162.5 from 185.5 so that you get how far he drove from where he started. 185.5 - 162.5= 23. So he drove 23 miles south from where he started. I hope this helps.
Answer:
1
3
130
Step-by-step explanation:
as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1
using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.
13/1=39/x
this is 13x=39
x=3 seconds
use the same ratio to find distance
13/1=x/10
13=x/10
130=x
Answer: 15/7
Step-by-step explanation: Simplify 6/2 to 3
8x-3=x+12
Add 3 to both sides
8x=x+15
Subtract x from both sides
7x=15
Divide both sides by 7
x=15/7
