Drag the phrases into the box to match each expression 6x+3 3x−6 6(x+3) 6 divided by a number times 36 less than 3 plus a number3 more than the quotient of 6 and a number3 more than the product of 6 and a number6 more than a number divided by 3the product of 6 and the sum of a number and 36 less than the product of 3 and a number

6x+3=3 more than the quotient of 6 and a number 3x−6=6 less than the product of 3 and a number 6(x+3)=The product of 6 and the sum of a number and 3.

Step-by-step explanation:

I took the test in K12 and when I reviewed it it said those are the correct answers.

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°