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3 years ago

6/x +3= 3x- 6= 6 (x+3)= tip: 6/x is a fraction

1 answer:

3 0

We don't know exactly what x is, so the best we can do is simplify these expressions. For 6/x+3, we know that both 6 and 3 are factors of 3, so using the distributive property, 3*2/x+3*1=3*(2/x+1). For 6(x+3), we can use the distributive property to get 6*x+6*3=6x+18. Good luck on the middle expression (I'd recommend using a similar strategy to the one I used), and feel free to ask any questions!

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in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE

maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point A.

ΔDOA is similar to ΔABC, and ∠AEC is equal to ∠ABC, therefore, ∠AEC = ∠ODA

Reasons:

The given parameters are;

The diameter of the circle with center O = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB is the diameter of circle ${}$ 1. Given

2. DO is perpendicular to AB ${}$ 2. Given

3. ∠DOA = 90° ${}$ 3. Definition of DO ⊥ AB

4. ∠BCA = 90° ${}$ 4. Thales theorem

5. ∠BCA ≅ ∠BCA ${}$ 5. Reflexive property

6. ΔDOA ~ ΔABC ${}$ 6. AA similarity postulate

7. ∠ABC ≅ ∠ODA ${}$ 7. CASTC

8. ∠ABC = ∠ODA ${}$ 8. Definition of congruency

9. ∠AEC ≅ ∠ABC ${}$ 9. Angles in the same segment

10. ∠AEC = ∠ABC   ${}$ 10. Definition of congruency

11. ∠AEC = ∠ODA ${}$ 11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

7 0

3 years ago

A world record was set for the men’s 100-m dash in the 2008 Olympic Games in Beijing by Usain Bolt of Jamaica. Bolt "coasted" ac

Andrei [34K]

Answer:

a) v = 12.21m/s

a = 4.07 m/s²

b)v = 11.24m/s

a = 3.75 m/s²

Step-by-step explanation:

a) Dividing the moviment into two parts:

I - With acceleration

v = v₀ + at

s = s₀ + v₀t + at²/2

v₀ = 0
s₀ = 0
a = ?
v = ?
t = 3s
s = x

v = v₀ + at

v = 3a ⇒ a = v/3

s = s₀ + v₀t + at²/2

x = v/3.3²/2

x = 3v/2

II - Uniform

s = s₀ + vt

s = 100

s₀ = x

v = v

t = 9.69 - 3 = 6.69s

s = s₀ + vt

100 = x + v*6.69

100 = x + 6.69v

As x = 3v/2

100 = 3v/2 + 6.69v

100 = 1.5v + 6.69v

100 = 8.19v

v = 12.21m/s

a = v/3 = 4.07 m/s²

b) Dividing the moviment into two parts:

I - With acceleration

v = v₀ + at

s = s₀ + v₀t + at²/2

v₀ = 0
s₀ = 0
a = ?
v = ?
t = 3s
s = x

v = v₀ + at

v = 3a ⇒ a = v/3

s = s₀ + v₀t + at²/2

x = v/3.3²/2

x = 3v/2

II - Uniform

s = s₀ + vt

s = 200

s₀ = x

v = v

t = 19.30 - 3 = 16.30s

s = s₀ + vt

200 = x + v*16.3

100 = x + 16.3v

As x = 3v/2

200 = 3v/2 + 16.3v

200 = 1.5v + 16.3v

200 = 17.8v

v = 11.24m/s

a = v/3 = 3.75 m/s²

8 0

3 years ago

Do you know parallelogram WXYZ Parkway 270° around point W what will be the length of the image WZ

Lerok [7]

Answer:

5 units

Step-by-step explanation:

Even if there is a transformation, it is asking for the length.

Therefore the length of WZ is 5 units

7 0

2 years ago

Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students al

geniusboy [140]

Answer:

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

8 0

2 years ago

Forty-seven is less than or equal to five times three,added to nine

irina1246 [14]

Answer:

You need to do 5 times 3 for 15 a d then add 9 to get 24, so 47 is not less than or equal to 5 times 3 add 9

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers