Answer:
The value of x is 84 and the remaining angles are: 76° and 86°
Step-by-step explanation:
Given three angles are
18
x-8
and
x+2
We have to find the angles and for that we have to find the value of x
As we know that the sum of internal angles of a triangle is 180°
So,

And the angles are:
x-8 = 84-8 = 76
x+2 = 84+2 = 86
Hence,
The value of x is 84 and the remaining angles are: 76° and 86°
Answer:
Measure of angle M = 41°
Step-by-step explanation:
From the figure attached,
NM ≅ NO [Given]
Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]
By triangle sum theorem,
m∠O + m∠N + m∠M = 180°
m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]
By substituting the values of the given angles,
(4y - 15)° + (7y)° + (4y - 15)° = 180°
(15y - 30) = 180
15y = 210
y = 14
Therefore, m∠M = (4y - 15)°
= 4(14) - 15
= 56 - 15
= 41°
Answer: the answer is b
Step-by-step explanation:
Answer:
3 miles
Step-by-step explanation:
Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles
This is the change in miles / change in time.
Chang in miles = 3
Change in time = 1
Slope = 3/1
Slope = 3