Answer:
58 degrees
Step-by-step explanation:
add the 2 shown, 74+48, to get 122 all triangles add up to 180 so subtract 122 from 180 and you get 58
B. 25 Km. The measure of BC is 25 km.
The easiest way to solve this problem is using the cosine theorem c = √a²+b²-2ab*cos A.
BC = √AC²+AB²-2(AC)(AB)*cos A
BC = √(21km)²+(14km)²-2(21km)(14km)*cos 89°
BC = √441km²+196km²-588km²*(0.017)
BC =√637km²-10.26km²
BC = √636.74km²
BC = 25.03km ≅ 25
Answer:
x = - 
Step-by-step explanation:
Given
(x + 5
) = 
Multiply both sides by 8 to clear the fractions
6(x + 5
) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x =
= - 
Answer:
115
Explanation:
Angles in a triangle sum to 180
Add the two angles given and subtract it from the total sum of angles to find the missing interior angle -
75 + 40 = 115
180 - 115 = 65
Now that we have the interior angle, we can work out the exterior angle by subtracting it from 180
180 - 65 = 115
Answer:
108 gadgets
Step-by-step explanation:
We can use a ratio to solve
24 gadgets x gadget
------------------- = ---------------
2.5 hours 11.25 hours
Using cross products
24 * 11.25 = 2.5 *x
270 = 2.5x
Divide by 2.5
270/2.5 = 2.5x/2.5
108 = x