Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
Area of a triangle:
A= (1/2)(bh)
In this problem we are given:
A= 178.5

b= h+4 in
h= UNKNOWN ("h")
Plug in our values into the area equation and solve for "h":


(multiply each side by 2 to get rid of the 1/2)



(357/21=17)

(solve both inequalities separately)


( a negative height is not possible so, this answer is incorrect.)


Answer: base = (h+4)= (17+ 4)
b= 21 in h= 17inPlease comment with any further questions! :)
Well you could round it to the 4th decimal, which would be 2.7183
That as a mixed number would be
Answer:
42
Step-by-step explanation:
Organize the numbers from least to greatest
37, 41, 42, 42, 43, 44, 45
Find the number in the middle
= because 4 times 3 minus 1 equals 11 and 5 times 3 minus 4 equals 11