Answer:
By AAS criteria Δ ABC ≅ Δ ADC
Step-by-step explanation:
See the diagram attached.
We have to prove Δ ABC ≅ Δ ADC
Steps :
Between Δ ABC and Δ ADC
1. CA bisects ∠ BAD, and hence, ∠ CAB = ∠ CAD {Given}
2. ∠ B = ∠ D {Given}
3. Side AC is common to both the triangles.
Hence, by Angle-Angle-Side i.e. AAS criteria Δ ABC ≅ Δ ADC (Proved)
Well, just take the difference, 51-29, and 22 is how much less his card it being valued at. Or you can do 29-55, which would be -22, showing the amount and that it's valued less.
The picture of the problem has been attached below :
Answer:
13.5
Step-by-step explanation:
Applying the sine rule to solve for x
SinA /a = SinB / b = SinC/ c
Sin 34 / x = Sin 27/11
Cross multiply :
11 * sin34 = x * sin 27
6.1511219 = 0.4539904x
Divide both sides by 0.4539904
6.1511219/0.4539904 = x
13.549 = x
x = 13.5
Answer:
125 cookies
Step-by-step explanation:
13 x 9= 117. Add 8 to the total cookies and now she has 125 cookies in total!