16 (x + 40)0 and (3x - 20)° are a pair of supplementary angles.
Find the following values:
X=
the smaller angle is :
0
and
the greater angle is :
0​

x = 40

smaller angle is 80

larger angle is 100

Step-by-step explanation:

Supplementary angles add up to equal 180 degrees

Hence, x + 40 + 3x - 20 = 180

( note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

x + 40 + 3x - 20 = 180

step 1 combine like terms

x + 3x = 4x

40 - 20 = 20

we now have 4x + 20 = 180

step 2 subtract 20 from each side

180 - 20 = 160

we now have 160 = 4x

step 3 divide each side by 4

160 / 4 = 40

4x / 4 = x

we're left with x = 40

we now plug in 40 for x to find the value of each angle

x + 40

* substitute 40 for x *

40 + 40 = 80

3x - 20

* substitute 40 for x *

3 ( 40 ) - 20

3 * 40 = 120

120 - 20 = 20

so the larger angle is 100 degrees and the smaller angle is 80 degrees

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b