Nigel drew a parallelogram with a base length of 6 3/4 inches and a height of 2 5/8 inches. Krista made a scale drawing of Nigel's parallelogram using a scale factor of 1/3 .

Krista's  drawing would have a base length of 2 and 1/4 inches and a height of 7/8 inches

Step-by-step explanation: First you do 6 divided by 3 which is 2 then you make 3/4 in twelfths and you get 3/12, then you simplify that into 1/4. Then

you combine those and get a base length of 2 and 1/4 inches.

Next, you do 2 and 5/8 divided by 3. Since 3 is less than 2 your answer would have to be less than 1. What i would do is make 2 and 5/8 into a fraction, which would be 21/8. then to make it easiest you multiply that by 1/3. which would equal 21/24. and then you simplify by dividing that by 3. Which would give you 7/8, which would give you your answer.

So the final answer would be a base length of 2 and 1/4 inches and a height of 7/8 inches.

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°

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5