What is the value of this expression? 3(6/8−1/2)+0.25 Enter your answer, in simplest form, in the box.

1

Step-by-step explanation:

6/8 - 1/2 can be changed to 6/8 - 4/8

This shows us we have 2/8 or 1/4 left

We then turn 3 into 3/1 for the multiplication

3/1 x 1/4 = 3/4

If we change 0.25 into 1/4 we now have 3/4 + 1/4 (or 0.75 + 0.25)

This gives us a solid answer of 1

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°