The answer is −10d4+17d2s−6s2
Data:
l and m are parallel lines
QR and ST are perpendicular in R
Angle 1 is 63°
The angle formed by perpendicular lines is a right angle (90°)
Angles 1 and 3 are alternate angles: angles that occur on opposite sides of a transversal line that is crossing two parallel.
Alternate angles are congruent, have the same measure.
![\begin{gathered} m\angle1=m\angle3 \\ \\ m\angle3=63 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%5Cangle1%3Dm%5Cangle3%20%5C%5C%20%20%5C%5C%20m%5Cangle3%3D63%20%5Cend%7Bgathered%7D)
The sum of the interior angles of a triangle is always 180°. In triangle QRT:
![\begin{gathered} m\angle2+m\angle3+90=180 \\ \\ m\angle2+63+90=180 \\ \\ m\angle2+153=180 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%5Cangle2%2Bm%5Cangle3%2B90%3D180%20%5C%5C%20%20%5C%5C%20m%5Cangle2%2B63%2B90%3D180%20%5C%5C%20%20%5C%5C%20m%5Cangle2%2B153%3D180%20%5Cend%7Bgathered%7D)
Use the equation above to find the measure of angle 2:
![\begin{gathered} \text{Subtract 153 in both sides of the equation:} \\ m\angle2+153-153=180-153 \\ \\ m\angle2=27 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BSubtract%20153%20in%20both%20sides%20of%20the%20equation%3A%7D%20%5C%5C%20m%5Cangle2%2B153-153%3D180-153%20%5C%5C%20%20%5C%5C%20m%5Cangle2%3D27%20%5Cend%7Bgathered%7D)
Then, the measure of angle 2 is 27°
Answer:
$32.30 each week
Step-by-step explanation:
Deposit = 15% = $34.20
⇒ total cost of camp = (34.20 ÷ 15) x 100 = $228
Balance left after deposit = 228 - 34.20 = $193.80
If paying the remaining balance in 6 weekly installments,
⇒ weekly payment = 193.80 ÷ 6 = $32.30
Answer: Children’s Museum $150-$350 per sq. ft. Art Museum Exhibition $75-$200 per sq. ft. (Does not include cost of Art)
Step-by-step explanation:
Answer:
the constant is 2
Step-by-step explanation:
since 2 is alone without any variables