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3 years ago

5

I need help finishing the proof

1 answer:

erastova [34]3 years ago

6 0

Answer:

See proof

Step-by-step explanation:

Statements Reasons

1. $\overline{AEC}$ bisects $\angle DAB,\ \angle 1\cong \angle 2$ Given

2. $\angle 3\cong \angle 4$ Definition of angle bisector

3. $\overline{AE}\cong \overline{AE}$ Reflexive property of equality

4. $\triangle ABE \cong \triangle ADE$ AAS postulate

5. $\overline {AB}\cong \overline{AD}$ Congruent triangles have congruent corresponding sides

6. $\overline{AC}\cong \overline{AC}$ Reflexive property of equality

7. $\triangle BAC \cong \triangle DAC$ SAS postulate

8. $\overline {BC}\cong \overline{CD}$ Congruent triangles have congruent corresponding sides

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The slope is 1. It means that every minute the temperature rises by 50 degrees.

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3 years ago

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Liam had a number of chocolates in his pocket. he decided to give most of them away before they melted. so he gave two-thirds to

Alekssandra [29.7K]

Let x be the original number of chocolates:-

x - (2/3)x - (1/5)(x - (2/3)x) = 12
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3 years ago

Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. Using the formula H(t

Sedaia [141]

Answer:

The maximum height of soccer ball is 12.25 ft.

Step-by-step explanation:

It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.

Given formula is

$H(t)=-16t^2+vt+s$

The initial height of ball is 0.

$H(0)=-16(0)^2+v(0)+s$

$0=s$

The height of ball defined by the function

$H(t)=-16t^2+(28)t+0$

$H(t)=-16t^2+28t$

It is a downward parabola and the vertex of a downward parabola is the point of maxima.

The vertex of a parabola $f(x)=ax^2+bx+c$ is

$(\frac{-b}{2a},f(\frac{-b}{2a}))$

$\frac{-b}{2a}=\frac{-28}{2(-16)}=0.875$

$H(0.875)=-16(0.875)^2+28(0.875)=12.25$

Therefore the maximum height of soccer ball is 12.25 ft.

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3 years ago

Find the distance of a chord 8cm long from the centre of a circle radius 5cm

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Answer:

3 cm

Step-by-step explanation:

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3 years ago

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Dmitriy789 [7]

Answer:

3 : 5

Step-by-step explanation:

vowels: a o o (3 of them)

consonants: b l l n s (5 of them)

The ratio of vowels to consonants is 3 : 5.

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4 years ago