Abakery can produce 6 cakes in one hour. at this rate, how many cakes could it produce in 5 1/2 hours?

The bakery can produce 33 cakes in 5 1/2 hours

Step-by-step explanation:

If a cake can produce 6 in 1 hour than we will take the amount of hours an times it by the amount of cakes that they make so:

6 x 5 1/2  we know that 6 x 5 is 30

and a half hour would be half of the amount of cakes they make in 1 hour so

6 divided in half would be 3 we take our two answers and put them together

30+3 = 33 .

answer: 7270

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°