Answer:
C
Step-by-step explanation:
A. 2*6 = 12 but 24p*2 doesn't equal 24p
B. 3*9 doesn't equal 12, and 3*21p doesn't equal 24p
C. 4*3 equals 12 and4*6p=24p
D. 6*2=12, but 6*3p doesn't equal 24p
I hope this helps!!!
Answer:
30 books
Step-by-step explanation:
bookshelf is 45 inches
each book is 1 1/2 inches
45 / 1 1/2 = 30
30 books can fit on the shelf
1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is 
, so the measure of arc DF is
The inscribed angle theorem tells us that the central angle subtended by arc DF, 
, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so
so the measure of arc DF is also 64 degrees. So we have
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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,
Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that
Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have
11x° is interior angle of ladder to the ground
and 7X° is interior angle of ladder to the wall
exterior angle of a ladder to wall is 180-7x
and exterior angle of a ladder to ground is 180-11x
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
