Answer:
m∠P = 82°
m∠Q = 49°
m∠R = 49°
Step-by-step explanation:
<em>In the isosceles triangle, the base angles are equal in measures</em>
In Δ PQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ ∠Q and ∠R are the base angles
→ By using the fact above
∴ m∠Q = m∠R
∵ m∠Q = (3x + 25)°
∵ m∠R = (2x + 33)°
→ Equate them
∴ 3x + 25 = 2x + 33
→ Subtract 2x from both sides
∵ 3x - 2x + 25 = 2x - 2x + 33
∴ x + 25 = 33
→ Subtract 25 from both sides
∵ x + 25 - 25 = 33 - 25
∴ x = 8
→ Substitute the value of x in the measures of angles Q and R
∵ m∠Q = 3(8) + 25 = 24 + 25
∴ m∠Q = 49°
∵ m∠R = 2(8) + 33 = 16 + 33
∴ m∠R = 49°
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠P + m∠Q + m∠R = 180°
→ Substitute the measures of angles Q and R
∵ m∠P + 49 + 49 = 180
∴ m∠P + 98 = 180
→ Subtract 98 from both sides
∵ m∠P + 98 - 98 = 180 - 98
∴ m∠P = 82°
Poopoo!!!?!!!!!!!?!!!??!!!
Answer:
3
Step-by-step explanation:
Answer:
4,245 miles
Step-by-step explanation:
Hello there,
the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles
Hope dis helps.
Answer:
Realization :
since there are 3-variable. Therefore 2ⁿ = 2³ = 8
From the attached solution, f(x,y,z) = y' + xz'
also' see the circuit diagrams of my realizations of AND-OR and NAND-NAND
Step-by-step explanation:
See attached picture for minimal 2-level AND-OR and NAND-NAND of the logic function.
f(x,y,z) = y' + xz' was designed from the function f(x,y,z) = Σm(0,1,4,5,6)
Then, minimal 2-level AND-OR was designed and after was NAND-NAND designed as well.