Find m of angle CBD
Please Help

Alright! Let's do this!

In order to solve this problem, we must remember that the total degrees of a straight angle is 180°

In this context, this means that ∠ABC and ∠CBD added together make 180°

But the problem is... we don't know the value of those angles unless we have x.

Let's solve for x!

∠ABC + ∠CBD = 180°

∠ABC = 2x + 50

∠CBD = 6x +2

Let's plug in these "values"

(2x + 50) + (6x + 2) = 180°

Now, let's combine like terms

8x + 52° = 180°

SOLVE!

8x = 128°

x = 16°

Now we know x! With x, we can find out the value of ∠CBD

∠CBD = 6x + 2°

∠CBD = 6 (16) + 2°

∠CBD = 98°

Great Job! I hope I helped! Comment if you have any other questions!

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98