Answer:
B
Step-by-step explanation:
In an isosceles trapezoid any lower base angle is supplementary to any upper base angle, thus
6x + 2x + 4 = 180, that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22 → B
Answer:
NPOM ≅ VUTS
OPNM ≅ TUVS
Step-by-step explanation: Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent, where, OM is congruent or equal to TS and in quadrilaterals NPOM and VUTS-
since, the condition and, side UV=side OM follow for the above quadrilateral. (According to the figure)
then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.
This problem is about componded interest. The formula for compounded interest is:
In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:
The amount after 10 years is 573.26.
Answer: 6.25
Step-by-step explanation:
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
