Answer: C. 2 x 2 x 2 x 2 x 5
Step-by-step explanation: if you multiply all of those numbers you get 80
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°
Well what were given:
1 inch = 30 feet
The drawing of the building of this problem has the height of 1.25 inches and base of 0.75 inches.
Actual height:
1.25 inches * 30 feet/inch = 37.50 feet
Actual base:
0.75 inches * 30 feet/inch = 22.50 feet
So in this problem the answer would be "A" 22.50 Aka 22.5 For the building. Hope this helps you! (:
Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = 
: 
= 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
Let the total be x
1/6x=3
x/6=3
x=18
therefore Ramal's stamp has 18 pages
