Answer: The measure of ∠BEF=110°.
Step-by-step explanation:
Given: In cyclic quadrilateral ABCD, ∠C = 110°
Then, ∠A+∠C=180° [The sum of opposite angles in a cyclic quadrilateral is 180 degrees.]
⇒ ∠A+ 110°=180°
⇒ ∠A = 180° - 110°
⇒ ∠A = 70°
In cyclic quadrilateral ABEF,
∠A+∠E=180° [The sum of opposite angles in a cyclic quadrilateral is 180 degrees.]
⇒ 70° + ∠E=180°
⇒∠E=110°
Hence, the measure of ∠BEF=110°.
Use the calculator to find the Product
Answer:
A) 14x + 2
Step-by-step explanation:
(2x + 2x) + (5x + 5x) + (1 + 1)
= 4x + 10x + 2
= 14x + 2
You can only add 4x and 10x since they both have a variable (x). You cannot add 2 since 2 doesn't have a variable, so the answer in simplest form is 14x + 2
The volume of a cylinder = pi r^2 h. approximating pi to be 3.14 will give you. 3.14 * (3ft)^2*4ft. this will give you 36 ft^2 times 3.14. this will give you 113.04ft^3
To solve this problem, we must first remember that slope-intercept form is y=mx + b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation.
To begin, we can take this form and substitute in the slope for the variable m.
y = mx + b
y = 4x + b
Next, because we weren't given the y-intercept, we can find it by substituting the value of 6 for x and the value of -1 for y (these values came from the ordered pair that we were given in this problem).
-1 = 4(6) + b
After that, we can begin to simplify and solve for the variable b by computing the multiplication on the right side of the equation.
-1 = 24 + b
Next, we should subtract 24 from the right side of the equation in order to get the variable b alone.
-25 = b
Now, if we substitute in this value for the variable b in our equation with the slope, we get:
y = 4x - 25
Therefore, your answer is y = 4x - 25.
Hope this helps!
