Hey there! :D
All angles in a triangle equal 180 degrees. An exterior angle is supplementary to the interior angle next to it. (also equal to 180 degrees)
92+24+<B= 180
116+<B= 180
Subtract 116 on both sides.
<B= 64
So,
180-64= 116
The exterior angle of <B is equal to 116 degrees.
I hope this helps!
~kaikers
value of x is
and value of y is 
Step-by-step explanation:
We need to find Which expression could be substituted for y in the second equation to find the value of x
The given equations are:

For putting value of y in second equation, we will find from equation 1
From equation 1:

Putting value of y i.e y=10+2x in equation (2) to find value of x

So, now finding value of y by putting value of x= -29/4 in eq(1)

So, value of x is
and value of y is 
Keywords: System of equations
Learn more about System of equations at:
#learnwithBrainly
Answer:
the point of interception is (8,3)
Step-by-step explanation:
The x variable represents the number of three point shots made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,3) we can say:
Nicole made 8 three point shots and 3 two point shots.
The third equation is the correct one. After 100 years, about 115 grams will remain.
Answer:
Step-by-step explanation:
Solving Exponential Equations with Different Bases.
Step 1: Determine if the numbers can be written using the same base. If so, stop and use Steps for
Solving an Exponential Equation with the Same Base. If not, go to Step 2.
Step 2: Take the common logarithm or natural logarithm of each side.
Step 3: Use the properties of logarithms to rewrite the problem. Specifically, use Property 5 which
says
Step 4: Divide each side by the logarithm.
Step 5: Use a calculator to find the decimal approximation of the logarithms.
Step 6: Finish solving the problem by isolating the variable.