What is the arc measure of this circle?
mCD=____ ?

Answer:

The answer to your question is  250 - 20 < 80 + 15x

Step-by-step explanation:

Data

Beth  has 250 books and sells 20 each week

Martin has 80 books and sells 15 each week

week = x

Process

1.- Write an equation for each situation

Beth         250 - 20x            

Martin       80 + 15 x

2.- Write the inequality

                   250 - 20 < 80 + 15x

Answer:

A

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , or

sin(angle) = cos(complement of angle)

x and z are complementary angles , x + z = 90 , then

sinz = cosx =

Final answer:

In right triangle XYZ, if X and Z are complementary and cos(X) is 11, sin(Z) should be 11 as well. Nevertheless, the cosine of an angle in a standard triangle can't exceed 1 in absolute value, suggesting an error in the provided data.

Explanation:

In a right triangle, if two angles are complementary, their sum equals 90 degrees. In the case of right triangle XYZ, angles X and Z are complementary. This means that angle Z is the complement of angle X. In trigonometry, the sine of an angle is equal to the cosine of its complement.

Therefore, sin(Z) = cos(X).

Given that cos(X) is 11, it follows that sin(Z) is also 11. However, it is essential to point out that the cosine of an angle can't exceed 1 in absolute value in a standard triangle, so there might be a misprint or misunderstanding in the problem. If cos(X) falls within a valid range, then sin(Z) should equal cos(X).

Learn more about Trigonometry here:

brainly.com/question/11016599

#SPJ2

Answer:

b = 1/2, -12.5

Step-by-step explanation:

13 = |2b+12|

Case 1:

13 = |2b+12|

13 = 2b + 12

1 = 2b

b = 1/2

Case 2:

13 = |2b+12|

13 = - (2b + 12)

13 = -2b - 12

25 = -2b

b = -12.5

So, the answer is b = 1/2 & -12.5

Answer:

D. It has infinitely many solutions.

Step-by-step explanation:

We have been given an equation . We are asked to find the number of solutions for our given equation.

We know that an equation has infinitely many solutions, when both sides of the equation are equal.

Let us add 3x on both sides of our given equation.

Since both sides of our given equation are equal, therefore, our given equation has infinitely many solutions and option D is the correct choice.

From the information given, the mathematical equation (or slope formula) for this situation is given as: y=6x+90

What is the explanation for the above answer?

It is important to state that points of the slope are: (0,90). This is so as the Y intercept is taken as the Sumos weight.

Given that after 8 months, the sumo wrestler weighed 138kg

Hence, (138/90 - 8/0, with the 138 and 8 being the numerator)

= 48/8

= 6

Given that the slope = 6); and

the y intercept = 90

Hence, the slope intercept equation y = 6x+90

Learn more about slopes at;
brainly.com/question/3493733
#SPJ6

Answer:

y=6x+90

Step-by-step explanation:

y=6x+90

use the slope formula with the points (0,90) because this is the y intercept, the sumos weight

after 8 months, the sumo restler weighed 138 (8,138)

solve that with the slope formula (138/90 - 8/0, with the 138 and 8 being the numerator)

then, you get 48/8

thus, 6, like the answer above me said.

however, the answer is incomplete as it asks for it in the equation form

thus since we know the slope (6) and the y intercept (90), format in slope intercept form- = y=6x+90

hope this helps!