Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
Tasha will use more tiles because 1/4 is smaller fractional portion than 1/3. (1/4=3 ft, 1/3= 4 ft)
Answer:
0.025 = 2.5% probability that a given class period runs between 51.5 and 51.75 minutes.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is between c and d is given by the following formula

For this problem, we have that:
. So


0.025 = 2.5% probability that a given class period runs between 51.5 and 51.75 minutes.
Vertical angles
They are vertical angles because they are directly opposite each other and have equal measures.
Y^9-y^3 can also be written as y^9-y^3=x
so it is also equivalent to x+y^3=y^9
and x-y^9=-y^3