Answer:
15: 1
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
1. x=5
2. x= -4
Step-by-step explanation:
1. x=5
(5+2) (5-3)
7(2)
= 14
2. x= -4
(-4+2) (-4-3)
(-2) (-7) or -2 × -7
= 14
Answer:
y= 8
Step-by-step explanation:
Answer:
i)
- <em>DA is diameter and AX is tangent to circle</em>
<u>Your answer is correct</u>
ii)
<u>Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒ </u>
<u>DC = BC ⇒ intercepted arcs are same ⇒ </u>
<u>mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒ </u>
- m∠CDB = m∠BDC = 1/2*48 = 24°
iii)
∠CBA
<u>∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)</u>
- m∠ADC = m∠ADB + m∠CDB = 42° + 24° = 68°
- m∠CBA = 180° - m∠ADC = 180° - 68° = 112°
∠BAE
EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:
- m∠BAE = 180° - 112° = 68°
∠DCE
- m∠DCB = 180° - m∠DAB = 180° - 48° = 132°
- m∠BCE = 180° - m∠BAE = 180° - 68° = 112°
- ∠DCE = 132° - 112° = 20°
Answer:
p - 120.00 = 56.74; p = $176.74.
Step-by-step explanation:
Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.
We solve p - 120.00 = 56.74 by adding 120 to both sides.
p - 120 + 120 = 56.74 + 120
p = 176.74.
So, Zack got paid $176.74. That's a lot of money!
Hope this helps!
