Answer:
The measure of arc BD is 147°
Step-by-step explanation:
we know that
If segment AB is perpendicular to segment CD
then
The measure of the inner angle CPA is a right angle (90 degrees)
Remember that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠CPA=(1/2)[arc AC+arc BD]
substitute the given values
90°=(1/2)[33°+arc BD]
180°=33°+arc BD
arc BD=180°-33°=147°
Answer:
Options A) and E)
Step-by-step explanation:
If you use Ruffini's method for polynomials, you can find the roots.
The given picture shows us the first root of the polynomial 
wich is 2.
Thus, the original polynomial can be written as
Here, you can notice that (x-2) is a factor
Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
Answer:
120% of 100. 20% of 800. 500% of 400. 1% of 1,000
Hope this helps :)
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have
The equation of the line into point slope form is equal to
substitute
Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so
the slope of the line 1 is equal to
Find the slope m2
Find the equation of the line 2
we have
The equation of the line into point slope form is equal to
substitute
Part 3) we have
The equation of the line into point slope form is equal to
substitute
Part 4) we have
-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to
substitute the values
Part 5) we have that
The slope of the line 4 is equal to 
so
the slope of the line perpendicular to the line 4 is equal to
therefore
in this problem we have
The equation of the line into point slope form is equal to
substitute
Part 6)
using a graphing tool
see the attached figure
