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Alla [95]
3 years ago
10

The fourth question

Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Step-by-step explanation:

Given:

AD is the bisector of ∠BAC

∠CPD = ∠BPD

1) ∠CAP = ∠BAP

Reason: definition of angle bisector

2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB

Reason: definition of supplementary angles

3) 180 − ∠APC = 180 − ∠APB

Reason: substitution

4) ∠APC = ∠APB

Reason: algebra

5) AP = AP

Reason: reflexive property

6) ΔAPC ≅ ΔAPB

Reason: ASA congruence

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If this trapezoid is moved through the
jeka94

Answer:

Step-by-step explanation:

A(-6,2) =>A'(-5, -1)

B(-5,4) =>B'( -4,1)

C(-2,4)=> C'(-1,1)

D( 1,2) => D'(2,-1)

we move all these points to (x+1, y-3)

7 0
2 years ago
A segment has endpoints A(-3,5) and B(2,1) find the midpoint M of the segment
Vlad1618 [11]

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Step-by-step explanation:

4 0
3 years ago
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Find the area of triangle ABC. Give your answer to 1 decimal place. Sine rule.
laiz [17]

Answer:

<h2> 31.7 cm^2</h2>

Solution,

In ∆ ABC

< A + <B + < C = 180°

or, 72 + 59 + <C = 180°

or, 131 + <C = 180°

or, <C = 180 - 131

< C = 49

Area of ∆ABC = 1/2 ab sin C

= 1/2 * 12 * 7 * sin 49

= 42 * sin 49

= 31.7 ( approximately)

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24
Hunter-Best [27]

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

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Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

8 0
3 years ago
Which is a factor of 6x^3y+6xy-12x^2-12
vredina [299]

6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)


(x²+1) is a factor of 6x³y + 6xy − 12x² − 12

6 0
3 years ago
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