Answer:
The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
Step-by-step explanation:
The least square regression line is used to predict the value of the dependent variable from an independent variable.
The general form of a least square regression line is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>α</em> = intercept
<em>β</em> = slope
The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:


Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
one angle is 3x-3
another angle is 6(x-10)
Both angles are vertically opposite angles
Vertically opposite angles are always equal
So we equation both the angles and solve for x
3x - 3= 6(x-10)
3x - 3 = 6x - 60
Subtract 6x from both sides
-3x - 3 = -60
Add 3 on both sides
-3x = -57
Divide by 3
x = 19
The value of x= 19
Answer:
-55. just multiple -5 by 11
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept - Parallel lines always have the same slope (<em>m</em>)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
<u />
<u />
The slope of the given line is
, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be
. Plug this into y=mx+b:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

Therefore, the y-intercept of the line is 22. Plug this back into
:

I hope this helps!
Answer:
- angle at A: 51°
- base angles: 64.5°
Step-by-step explanation:
The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.
The base angles at B and C are the complement of half this value, or ...
90° -(51°/2) = 64.5°
The angle measures in the triangle are ...
∠A = 51°
∠B = ∠C = 64.5°