Answer:
given,triangle EFG is congruent to triangle HIJ,THEIR corresponding sides are equal,
so, 10x=x+45
10x_x=45
or,9x=45
therefore , x=5
again,
3y = y+14
or, 3y_y=14
or, y=14/2
therefore the value of y is 7.
so the value of x is 5 and y is 7.
hope its helpful to uh...
Expand the left side:
(3x + 2) (5x + 1) = 15x² + 10x + 3x + 2 = 15x² + 13x + 2
Then a = 15 and b = 13, so a - b = 2.
ANSWER

EXPLANATION
The general term for the sequence is

To find the 55th term, we have to substitute

in to the general term and simplify.
This implies that,




Therefore the 55th term is 161.
Missing Part of Question
Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700
........
Answer:
z = 1.157
Step-by-step explanation:
Given
Annual profit as calculated = $90,300.
H0: μ = 89,000
Ha: μ > 89,000
σ = 8700
n = 60
Calculate the test statistic (z) that corresponds to the sample and hypotheses.
Test statistic (z) is calculated by
z = (x - μ)/(σ/√n)
Where x = 90,300
μ = 89,000
σ = 8700
n = 60
z = (90,300 - 89,000)/(8700/√60)
z = 1.157443298866584
z = 1.157 ----- Approximated