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2 years ago

If m∠EBD= 4x - 8 and m∠EBC= 5x + 20, find the value of x and m∠EBC.

Mathematics

1 answer:

coldgirl [10]2 years ago

4 0

Answer:

-28 = x

Step-by-step explanation

[5x + 20] + [4x - 8] = 180

9x + 12 = 180

- 12 -12

______________

9x = 168

18⅔ = x

m∠EBC = 5[18⅔] + 20 = 113⅓

93⅓

You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about length.

I hope this is correct, and as always, I am joyous to assist anyone at any time.

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Guys help please I am struggling

alina1380 [7]

9514 1404 393

Answer:

14.1 years

Step-by-step explanation:

Use the compound interest formula and solve for t. Logarithms are involved.

A = P(1 +r/n)^(nt)

amount when P is invested for t years at annual rate r compounded n times per year.

Using the given values, we have ...

13060 = 8800(1 +0.028/365)^(365t)

13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800

Now we take logarithms to make this a linear equation.

log(13060/8800) = (365t)log(1 +0.028/365)

Dividing by the coefficient of t gives us ...

t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598

t ≈ 14.1

It would take about 14.1 years for the value to reach $13,060.

8 0

3 years ago

What is the kinetic Energy of a 110 kg linebacker rushing towards his football

Leviafan [203]

Answer:

The Kinetic energy of the 110 kg linebacker is 1375 J

Solution:

The kinetic energy of an object is the energy produced by its velocity. Kinetic energy of an object is directly proportional to the mass and the square of the its velocity.

Therefore, the formula for kinetic energy is

$KE=\frac{1}{2} \times m v^{2}$

Here, The linebacker’s mass m = 110 kg

The linebacker’s velocity v = 5 m/s

So by substituting the values,

The kinetic energy of linebacker is

$K E=\left(\frac{1}{2} \times 110 \times 5 \times 5\right) \text { Joules } \\\\ \Rightarrow (\frac{2750}{2}) Joules = 1375 Joules$

3 0

2 years ago

The difference of 20 and x

Anni [7]

Answer:

20-x

Step-by-step explanation:

you need the value of x to answer

8 0

2 years ago

A car salesman had $65,100 in total monthly sales last month. He made $1,953 in commission from those sales.

vitfil [10]

Answer:

Find out the what is the salesman's commission as a percent of his total monthly sales .

To prove

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

A car salesman had $65,100 in total monthly sales last month. He made $1,953 in commission from those sales.

Here

Part value = $1953

Total value = $ 65100

Put in the formula

$Percentage = \frac{1953\times 100}{65100}$

$Percentage = \frac{195300}{65100}$

Percentage = 3%

Therefore the salesman's commission as a percent of his total monthly sales is 3% .

5 0

2 years ago

Read 2 more answers

Compute 4.659×104−2.14×104. Round the answer appropriately.

iogann1982 [59]

Answer:

261.98 is the value of the given expression.

Step-by-step explanation:

We have to find the value of the following expression:

$4.659\times 104 - 2.14\times 104$

Using the associative property, we can write and solve the given expression as:

$(4.659 - 2.14)\times 104\\=2.519\times 104\\=261.976$

Rounding off the answer, we get,

$261.976\approx 261.98$

Thus, 261.98 is the value of the given expression.

3 0

3 years ago