Answer:
∠TRS = 40°
Step-by-step explanation:
∠UTS is an exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠UTS = ∠TRS + ∠RST
9x - 15 = 3x + 16 + x + 9
9x - 15 = 4x + 25 ( subtract 4x from both sides )
5x - 15 = 25 ( add 15 to both sides )
5x = 40 ( divide both sides by 5 )
x = 8
∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°
1.) Beachy-Keen
2.) shorething
3.) shorething
4.) Beachy-Keen
5.) shorething
let me know if you think any of these are incorrect hope it helps
The maximum value that could be reached would be about 211.05 cubic inches.
The initial measurements of the box are:
Length: 17
Width: 12
Height: 0
Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.
Volume = (17 - 2x)(12 - 2x)x
If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.
Answer:
the first expression
Step-by-step explanation:
Angle 1 is a "corresponding angle" with respect to the one marked 155°, so it has the same measure. The measure of angle 1 is ...
... 155°
