1/4 is the ration of cups of raisins to almonds.
Hope this helps.
Answer:
Refer the digram & explanation.
Step-by-step explanation:
<u>GIVEN :-</u>
- Tangents PQ & PR drawn to a circle with center O from an external point P.
<u>TO PROVE :-</u>
<u>CONSTRUCTION :-</u>
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
- (Angle at which tangents are inclined to each other from the external point) + (Angle the tangents subtend at the center of the circle) = 180°.
<u>PROCEDURE :-</u>
∠QPR + ∠QOR = 180°
⇒ ∠QOR = 180° - ∠QPR
In ΔQOR , OQ = OR (∵ Radii of the circle are equal)
⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)
⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)
So,
∠QOR + ∠OQR + ∠ORQ = 180°
⇒ ∠QOR + 2∠OQR = 180° (∵ ∠OQR = ∠ORQ)
⇒ 180° - ∠QPR = 180° - 2∠OQR (∵ ∠QPR + ∠QOR = 180°)
⇒ -∠QPR = -2∠OQR (∵ Cancelling 180° from both the sides.)
⇒ ∠QPR = 2∠OQR (Proved)
Answer: c
Step-by-step explanation:
Express the total amount of the monthly payments algebraically.
Area =a*h/2
Area = 3x*8/2
Area = 12x
Perimeter =a+b+c
a= 8
b=x+9
c= 4X-3
Perimeter =(8)+(x+9)+(4x-3)
Perimeter =8+x+9+4X-3
Perimeter =5x+14
Answer: 12x; 5x+14