Answer:
GCF(15a; 28b²) = 1
Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.
Answer:
z = 62
y = 117
Step-by-step explanation:
Z
118 and z are supplementary.
z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.
z = 180 - 118 Do the subtraction
z = 62 Answer
Y
The interior angles of all quadrilaterals (convex) add up to 360 degrees.
y + z + 84 + 97 = 360 Given
62 + y + 84 + 97=360 Add
y + 243 = 360 Subtract 243 from both sides
y = 360 - 243 combine
y = 117 Answer
Calculate the z-score for the given data points in the item using the equation,
z-score = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
Substituting,
(47.7) z-score = (47.7 - 52.5)/2.4 = -2
This translates to a percentile of 2.28%.
(54.9) z-score = (54.9 - 52.5)/2.4 = 1
This translates to a percentile of 84.13%.
Then, subtract the calculate percentiles to give us the final answer of <em>81.85%.</em>
Thus, 81.85% of the Siberian Husky sled dogs are expected to weigh between 47.7 and 54.9 lbs.
Answer:
320
Step-by-step explanation:
25 + 15 = 40 toys each
Toy makers x number of toys each = total toys carved
8 x 40 = 320 totals carved in all
