Answer:
-41
Step-by-step explanation:
g(x) = 3x + 1
g(-14) = 3*(-14) + 1
= -42 + 1
= -41
Answer:
56.55mm
Step-by-step explanation:
circumference = 2r*π
9mm*2=18
circumference = 18π
18π=56.5487
18π=56.55
Answer:
∠A and ∠C are vertical and equal in measure
∠C is adjacent to the angle that is 27°
∠C and ∠B are supplementary
∠A and ∠B are supplementary AND adjacent
All of them are correct
Step-by-step explanation:
<u><em>This is just how to find the angles.</em></u>
"When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex." - MathPlanet
The 27° and the 90° angles added up equal ∠B
∠B = 117°
360°-117°-117°=∠A & ∠C
∠A + ∠C = 126°
∠A=∠C=63°
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°
The formula for this is A= a + b/2 x h.
