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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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COME ON ITS 1 QUESTION FOR 50 POINTS!
ale4655 [162]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

8 0
3 years ago
Read 2 more answers
What two numbers multiply to 30 and add to -17
victus00 [196]

Answer:

-15 and -2

Step-by-step explanation:

Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.

Negative Factors of 30:

-30 + -1 = -31

-15 + -2 = -17

-10 + -3 = -13

-6 + -5 = -11

The two factors of 30 that add up to -17 are -15 and -2.

Hope this helps. Have a nice day.

4 0
2 years ago
Please answer my questions without links lol
guapka [62]

Answer:

Did you got my answer

if you don't then you can ask again as I will try my best

5 0
3 years ago
Help!!!
Artyom0805 [142]

Answer:

  C:  y+7=2/5(x+4)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:

  y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form

  y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C

5 0
3 years ago
A restaurant that can hold 300 people is divided into 20 equal parts. How many people can be put in each section?
alexandr1967 [171]

Answer:

15

Step-by-step explanation:

300/20=15

4 0
3 years ago
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