Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
Answer:
423
Step-by-step explanation:
Start by setting up a formula.
x = the shorter piece
total = 1313
longer piece = (x*2) + 44
x + (x*2) + 44 = 1313
Simplify
3x + 44 = 1313
Now we must solve for x.
Whatever you do on the left side of the equal sign must also be done on the right.
The goal is to get x by itself on the left side.
Do the easiest thing first, which is usually addition or subtraction. In this case, subtract 44 from both sides.
3x + 44 - 44 = 1313 - 44
3x = 1269
Now the only way to cancel out the 3 on the left is to divide by 3. Since 3/3 =1. Remember this must be done on both sides to keep things equal.
3x/3 = 1269/3
x=423
The End
The sum of all interior angles in a polygon is
180(n - 2), where n = the number of sides in the polygon.
now, notice this figure above, it has 5 sides, namely is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540, therefore
Answer:
1.75 p
Step-by-step explanation:
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