Step-by-step explanation:
Hey there!
1.》 Let the unknown angle be 'x'.
Now,
x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]
x = 180° - 134°
x = 46°
Therefore the missingangle is 46°.
2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]
angle 1 = 133°
Therefore the measure of angle 1 is 133°.
3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]
angle 2 = 180° - 133°
angle 2 = 47°
Therefore the measure of angle 2 is 47°.
4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.
See in picture;;; for more description for no.4.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!
When you collect terms, for
the first one you get
-x² -3xy +4 = -x² -3xy +4 . . . . . . equivalent equations.
There are 26 letters, four times. There are 10 numbers, four times. 26x26x26x26=456,976
10x10x10x10= 10,000
Final Answer: 4,569,760,000
Answer:
see below
Step-by-step explanation:
We'll cal the first integer x and then the rest of them will be x + 1, x + 2, x + 3 and x + 4. We can write x + 5(x + 2) = 3(x + 1 + x + 3 + x + 4) - 41.
x + 5x + 10 = 3(3x + 8) - 41
6x + 10 = 9x + 24 - 41
6x + 10 = 9x - 17
3x = 27
x = 9
The numbers are 9, 10, 11, 12, 13.
