Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
Answer:
32 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180.
Subtract the sum of 106 and 42 from 180.
180-(106+42)
180-(148)
32
x is equal to 32 degrees.
The answer is a, -40 + 7 = -33
5x - 6y = 30
to find x intercept, sub in 0 for y
5x - 6(0) = 30
5x = 30
x = 30/5
x = 6......so the x intercept is (6,0)
to find the y intercept, sub in 0 for x
5(0) - 6y = 30
-6y = 30
y = 30/-6
y = -5...so the y intercept is (0,-5)
Answer:
Step-by-step explanation:
PART A
The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
PART 2
The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7
PART C
To determine x, we will apply the Pythagoras theorem as stated above.
Opposite side = √14
Adjacent side = x
Therefore
7^2 = x^2 + (√14)^2
49 = x^2 + 14
x^2 = 49-14 = 35
Taking square root of both sides of the equation, it becomes
x = √35
x = 5.92
