Anumber line is drawn left to right with integers spaced 1 centimeter apart. an ant crawls onto the number line at +3. it then crawls 1.5 centimeters left, 4.9 centimeters right, and 7.6 centimeters left. where is the ant on the number line now?

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at      +3.0

Move left   - 1.5

Now at       +1.5

Step  2

Start at           +1.5

Move right   + 4.9

Now at         +6.4

Step 3

Start at      +6.4

Move left - 7.6

Now at      -1.2

The ant is now at -1.2 cm.

how is that middle school

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°