Answer:
Picture #1: x=16 ; y=10
Picture #2: x=21 ; y=15
Picture #3: x=18
Step-by-step explanation:
Picture #1:
(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.
Picture #2:
(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.
Picture #3:
(7x-6)* and (4x-7)* are supplementary so they equal 180*.
To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664
Answer: 0.8664
First, put your polynomial in standard form(ax²+bx+c=0). Then plug the a,b and c for x=(-b+-√b²-4ac)÷2a. As a result, you can either get one, two or no real answers.