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Sergio [31]
2 years ago
8

What is the reason for statement 3 in this proof?

Mathematics
1 answer:
const2013 [10]2 years ago
3 0

Answer:

A. Definition of angle bisector

Step-by-step explanation:

Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;

m∠ABD = m∠CBD

The correct option is option A. Definition of angle bisector

<em>Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;</em>

<em>AD = CD and BD = BD</em>

<em>We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency</em>

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Solnce55 [7]
Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less

m∠X + m∠Y < 90°
4 0
3 years ago
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You are opening a savings account with $500 that you have saved. The bank offers 3.2% interest, compounded yearly. How much mone
Nuetrik [128]

Answer:

You will have $623.3441462 in your account after 7 years

Step-by-step explanation:

The formula of the compounded interest is A = P (1+\frac{r}{n})^{nt} , where

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  • P is the initial value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time in years

∵ You are opening a savings account with $500  

∴ P = 500

∵ The bank offers 3.2% interest, compounded yearly

∴ r = 3.2% ⇒ divide it by 100 to change it to decimal

∴ r = 3.2 ÷ 100 = 0.032

∵ The interest is compounded yearly

∴ n = 1

∵ The time is 7 years

∴ t = 7

→ Substitute these values in the rule above to find A

∵ A = 500 (1+\frac{0.032}{1})^{1(7)}

∴ A = 500 (1.032)^{7}

∴ A = 623.3441462

∴ You will have $623.3441462 in your account after 7 years

8 0
3 years ago
Please someone help me out
Verizon [17]

Answer: 60/2

Step-by-step explanation:

When you multiply 60 and 1/2 you get 30 which is the same as 60/2

3 0
3 years ago
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Jimmy has 9 apples and Johnny ate 2.How many apples doesn Johnny have? ⚠️DIFFICULT QUESTION⚠️
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Think it’s 17 not 100% tho
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2 years ago
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NEED HELP WILL GIVE OUT BRAINLIEST AND POINTS
sattari [20]
Part 1) <span>Find the area 

we know that
the area of the triangle is
A=b*h/2
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b=9
h=12
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A=9*12/2-----> A=54 units</span>²

the answer part 1) is
Area=54 units²

Part 2) <span>Find the area of the kite

see the picture attached with letters to better understand the problem

we know that
The area of a Kite is </span><span>half the product of the diagonals
</span><span>
step 1
find CB
applying Pythagoras Theorem
AB</span>²=AC²+BC²------> BC²=AB²-AC²-----> BC²=5²-3²----> BC²=16
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the answer Part 2) is
the area of a kite is 42 units</span>²

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