Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
0.00000214
Step-by-step explanation:
Answer:
y = 
Step-by-step explanation:
The equation for a linear graph is usually written in the following format...
y = mx + b
Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...
y =
Answer:
slope=-12
Step-by-step explanation:
slope =y2-y1/x2-x1
5-17/-1-(-2)
-12/-1+2
-12/1
-12
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.
The sum of three angles should add up to 180°.
148° + 11° + K = 180°
Where k is the missing angle.
Solve for K.
Combine like terms.
148° + 11° + K = 180°
159° + K = 180°
Subtract both sides by 159°.
159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°
So, the missing length is 21°.
