Answer:
x°= 55°
Step-by-step explanation:
First, find the degrees of the larger triangle.
Since every triangle equals 180° degrees, make an equation.
60°+90°+a°= 180°
Now, add the degrees together.
120°+a°= 180°
Then subtract from both sides.
120°+a°= 180°
-120 ° -120°
a°= 60°
Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).
60°-25°= 35°
Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.
35°+90°+x°= 180°
Then, add the degrees.
125°+x°= 180°
Subtract from both sides of the equation to get the answer for the variable.
125°+x°= 180°
-125° -125°
x°= 55°
Answer:
y = 5x - 7
slope = 5
Step-by-step explanation:
35x - 7y = 49
Subtract 35x from both sides.
-7y = -35x + 49
Divide both sides by -7.
y = 5x - 7
The equation is now in the slope-intercept form, y = mx + b, where m is the slope.
slope = m = 5
It is 13 miles between the Opera House and Bryan's home.
A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included.
For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8.
Answer:
442554 square miles
Step-by-step explanation:
The area of a triangle is given by :
0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.
We will find ∅ by applying cosine rule:
c^2 = a^2 + b^2 − 2ab cos(∅)
Where ∅ is angle between sides a and b.
In this example:
a=1028, b=1046, c= 965
Plugging in the values, we get ∅=55.4°
Applying the formula for Area:
0.5*A*B*Sin(∅)
0.5*1028*1046*Sin(55.4)= 442554 square miles
