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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<em>Check</em>
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.)
Answer:
The new volume is 480cm³
Step-by-step explanation:
This problem bothers require us to scale down the volume of the pyramid by a factor of 1/4
Given that the volume of the pyramid is 640cm³
Hence the volume will be reduced by 1/4
640*1/4= 160
640-160= 480cm³
A. (3,6) should be it hope it helps !
Answer:
45°
Step-by-step explanation:
the sum of angles in a triangle is equal 180°
we have been given that one angle equals yo 90° and the other equals to 45°
let "?" be the unknown angle
====> 180° = 90° + 45° +?
? = 180° - (90° + 45°)
? = 180° - 135°
? = 45°
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Answer:
- inverse operation are used
- the variable needs to be isolated
Step-by-step explanation:
A solution is always of the form ...
variable = something
In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).
In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.