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°
Question is incomplete Let assume the Slope = 2
Answer:
Therefore the Equation of line is

Step-by-step explanation:
Given:
Slope = 2 ( Assumption )
y-intercept = -3
To Find:
Equation of Line in Slope-intercept form
Solution:
Equation of Line in Slope-intercept Form is given as

Where,

So, substituting Slope =2 and y-intercept = -3 in above we get
Which is the Required Equation of line
Therefore the Equation of line is

Answer:

Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form

The tide varies between 3ft and 9ft, which means its amplitude
is

and its midline
is
.
Furthermore, since at
the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is
.
The period of the full cycle is 14 hours, which means


giving us

With all of the values of the variables in place, the function modeling the situation now becomes

Answer:
2
Step-by-step explanation:
So we have the equation:

This is in the format point-slope form, where:

Here, m is the slope.
In our original equation, 2 replaces m.
Therefore, our slope is 2.
Answer:
6.25%
Step-by-step explanation:
Total = 1 ; as a decimal
1/2 = skittles
1/4 = M&Ms
Skittles +M&Ms = 1/2 + 1/4 = 3/4
Remainder = 1 -
Remainder = 
Sour patch = 
As a percentage , multiply 1/16 by 100 and it becomes 6.25%