Assume that y varies directly with x, then solve.
if y=-6.6 when x=9.9, find y when x=6.6
y=?

y = - 4.4

Step-by-step explanation:

from the question

y = -6.6

x = 9.9

y∝ x

y = kx where k is introduced as a constant of proportionality

solve for k

y=-6.6 and x = 9.9

we have,

-6.6 = k × 9.9

-6.6 = 9.9k

divide both sides by 9.9

-6.6/ 9.9 = 9.9k/9.9

-0.667= k

therefore k = - 0.667

now, find y when x = 6.6

from the equation y = kx

y = -0.667 × 6.6

y = - 4.4

-4.4

Step-by-step explanation:

x : y

9.9 : -6.6

6.6 : y

9.9/-6.6 = 6.6/y

y = 6.6 × -6.6/9.9

y = -4.4

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

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°