Rama is stringing beads whose lengths are each 0.19 inches.
how can rounding be used to estimate the length of a row of 9 beads?
since the beads are about 0.20 inches, the length of a row of 9 beads
will be approximately 9 + 0.20 = 9.20 inches.
since the beads are about 0.10 inches, the length of a row of 9 beads
will be approximately 9 + 0.10 = 9.10 inches.
since the beads are about 0.10 inches, the length of a row of 9 beads
will be approximately 9 × 0.10 = 0.80 inches.
since the beads are about 0.20 inches, the length of a row of 9 beads
will be approximately 9 × 0.20 = 1.80 inches.

Step-by-step explanation:

The length of a bead is 0.19 inche s which is approximately 0.2 inches. If the row will contain 9 beads, we would have to multiply the length of each bead by the number of beads. Therefore

Since the beads are about 0.20 inches, the length of a row of 9 beads

will be approximately 9 × 0.20 = 1.80 inches.

If we had chosen 0.10 as our approximation for the length of each bead,the length of the row would have been too short and it will be too far from the range of the acceptable length

The other options are wrong because the length of each bead was added to the length of the row

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°

24

step-by-step explanation: