Answer:
360°
Step-by-step explanation:
We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.
With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.
That means that the measure of Angle B is 180° - 61° = 119°
Looking at the pair C and 112°, we identify the exterior angle as 112°.
Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.
Finally, looking at the pair 51° and (180° - 51°), or
51° and 129°, we identify the exterior angle as 129°.
Then the sum of the exterior angles 129° and 119° and 112° is 360°.
Add 10 + 10 + 6 + 6 = 32
32 ft.
Answer: C. 9cm
Step-by-step explanation:
12 + 8 + 8 + x = 37
x = 9
Answer:
0.940
Step-by-step explanation:
Given the data:
Age in years(X) _____Height(Y)
7 _________ 47.3
8 _________48.8
5 __________41.3
8 _________ 50.4
8 ___________51
7 __________47.1
7 __________46.9
7 ___________48
9 __________51.2
8 __________51.2
5 __________40.3
8 __________48.9
6 __________45.2
5 __________41.9
8 __________49.6
The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.
Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.
Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.
<span>16: 2r - 6 =22
2r = 22 + 6
2r = 28
r =28/2
r = 14
17: 3g + 7 = 31
3g = 31 - 7
3g = 24
g = 24/3
g= 8
18: 3f - 7 = 38
3f = 38 +7
3f = 45
f = 45/3
f = 15</span>
