Answer:
−16y+6
Step-by-step explanation:
2(3−8y)
=(2)(3+−8y)
=(2)(3)+(2)(−8y)
=6−16y
=−16y+6
Answer:
CM=20 and CP=12
Step-by-step explanation:
The given triangle ΔACM has the measurements as follows:
m∠C=90°, CP⊥AM, AC=15, AP=9, PM=16.
To Find: CP and CM
We can use Pythagoras theorem to calculate the sides CP and CM.
Pythagoras theorem gives a relation between hypotenuse, base and height/perpendicular of a right angled triangle which is as follows:
where h is hypotenuse of triangle, b is base and p is perpendicular of triangle.
The figure shows that in ΔACM is a right angled triangle at C where,
AM --> hypotenuse
CM --> base
AC --> height
So substituting values into formula:
, which is required answer.
Similarly, we can see that triangle ΔCPM is also a right angled triangle at P and thus Pythagoras theorem can again be applied to calculate CP. Since CM is the side opposite to right angle P, it is the hypotenuse.
So we have,
, which is required answer.
Answer:
10+2x
Step-by-step explanation:
heh I'm a nerd :)
Answer:
85
Step-by-step explanation:
From the question given above, the following data were obtained:
Ratios of the angle => 2 : 4 : 5 : 6
Difference between the largest angle and the smallest angle =?
Next, we shall determine the various angles in the quadrilateral. This can be obtained as follow:
Ratios of the angle => 2 : 4 : 5 : 6
Total ratio = 2 + 4 + 5 + 6
Total ratio = 17
Angle in a quadrilateral = 360
For ratio 2:
Angle = 2/17 × 360 ≈ 42
For ratio 4:
Angle = 4/17 × 360 ≈ 85
For ratio 5:
Angle = 5/17 × 360 ≈ 106
For ratio 6:
Angle = 6/17 × 360 ≈ 127
SUMMARY:
The angles are => 42°, 85°, 106° and 127°
Finally, we shall determine the difference between largest angle and the smallest angle. This can be obtained as follow:
Smallest angle = 42°
Largest angle = 127°
Difference between the largest angle and the smallest angle =?
Difference = Largest – Smallest
Difference = 127 – 42
Difference = 85
Thus, the difference between the largest angle and the smallest angle is 85.
