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2 years ago

1/3 n=4/5 Enter the value of the n that will make the equation true.

Mathematics

1 answer:

myrzilka [38]2 years ago

3 0

Answer:

n = 12/5

Step-by-step explanation:

Multiply both sides of the equation by the reciprocal of the coefficient of n.

(3/1)(1/3)n = (3/1)(4/5)

n = 12/5

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What is the value of b in the equation 3b + 2(b - 1) =8

WARRIOR [948]

Answer:

b = 2

Step-by-step explanation:

In order to find the value of b, we have to isolate b on one side of equation first

So,

$3b+2(b-1)=8$

Multiplying 2 with b-1

$3b+2b-2=8\\5b-2=8$

Adding 2 on both sides

$5b-2+2=8+2\\5b=10$

Dividing by 5 on both sides

$\frac{5b}{5}=\frac{10}{5} \\b=2$

So the value of b is 2 ..

6 0

2 years ago

Read 2 more answers

PLEASE HELP!!! GEOMETRY (see attached images)

olasank [31]

Answer:

The Proof and Explanation for

Part C ,

Qs 9 and

Qs 10 are below.

Step-by-step explanation:

PART C .

Given:

AD || BC ,

To Prove:

ΔAED ≅ ΔCEB

Proof:

Statement Reason

1. AD || BC 1. Given

2. ∠A ≅ ∠C 2. Alternate Angles Theorem as AD || BC

3. ∠AED ≅ ∠CEB 3. Vertical Opposite Angle Theorem.

4. AE ≅ EC 4. Given

5. ΔAED ≅ ΔCEB 5. By A-S-A congruence test....Proved

Qs 9)

Given:

AB ≅ BC ,

∠ABD ≅ ∠CBD

To Prove:

∠A ≅ ∠C

Proof:

Statement Reason

1. ∠ABD ≅ ∠CBD 1. Given

2. AB ≅ CB 2. Given

3. BD ≅ BD 3. Reflexive Property

4. ΔABD ≅ ΔCBD 4. By S-A-S congruence test

5. ∠A ≅ ∠C 5. Corresponding parts of congruent Triangles Proved.

Qs 10)

Given:

∠MCI ≅ ∠AIC

MC ≅ AI

To Prove:

ΔMCI ≅ ΔAIC

Proof:

Statement Reason

1. ∠MCI ≅ ∠AIC 1. Given

2. MC ≅ AI 2. Given

3. CI ≅ CI 3. Reflexive Property

4. ΔMCI ≅ ΔAIC 4. By S-A-S congruence test

3 0

2 years ago

1)How much do you need to subtract from 35/6 to make 5?

nikdorinn [45]

Answer:

1) 5/6

2) 7/10

3) 3 1/8

4) 3 2/7

5) 1 8/9

Step-by-step explanation:

8 0

2 years ago

2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. How much is left now?

valina [46]

First, find the LCD; that is 9.

2/3 = 6/9

6/9 – 2/9 = 4/9

There is 4/9 of the pizza left.

5 0

2 years ago

"Filipe" was playing with a triangle on a coordinate plane. The triangle's area is 242424 square units. The largest circle he ca

Charra [1.4K]

Answer:

52.33% is the correct answer.

Step-by-step explanation:

Given that:

Area of triangle = 24 sq units

Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).

To find: The percentage of triangle covered by circle.

Solution: To find the required percentage, we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

We can use Distance formula :

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Radius = $\sqrt{(1.2-0)^2+(1.6-0)^2} = \sqrt{1.44+2.56} = \sqrt{4} = 2\ units$

Now, area of circle is given by the formula:

Area = $\pi r^{2}$

Area = 3.14 $\times 2^{2}$ = 12.56 sq units

Percentage of Triangle covered:

$\dfrac{Area\ of\ circle}{Area\ of\ triangle}\times 100\\\Rightarrow \dfrac{12.56}{24}\times 100\\\Rightarrow 52.33\%$

Hence, 52.33% is the correct answer.

5 0

2 years ago