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Tamiku [17]
2 years ago
12

∠3 is a complement of ∠4, and m∠3=46°. Find m∠4.

Mathematics
1 answer:
Eduardwww [97]2 years ago
4 0

Answer:

m < 4 = 44 degrees

Step-by-step explanation:

Here, we want to find the value of the given angle.

Mathematically, when two angles are complement of each other, they add up

to be 90 degrees. These angles are termed complementary angles.

Thus, by mathematical convention is this present case;

m <3 + m< 4 = 90

46 + m<4 = 90

m<4 = 90-46

m< 4 = 44 degrees

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It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

5 0
2 years ago
Marla did 65 sit ups each day for one week.Use the distributive property to show an expression you can use to find the total num
poizon [28]
The distributive property <span> lets you multiply a sum by multiplying each addend separately first and then summing the products together.
Marla did 65 x 7 = 455 sit-ups during the week

65 sit-ups can be written as 60+5 sit ups or as 50+15 sit-ups or as 40+25 sit-ups (these are just examples)

Applying the distributive property:
Marla did: (60 x 7) + (5 x 7) = 455 sit-ups during the week, or
Marla did: (50 x 7) + (15 x 7) = 455 sit-ups during the week, or
Marla did: (40 x 7) + (25 x 7) = 455 sit-ups per week

You can try this with any two numbers whose sum is 65 and all will give you the same answer.

</span>
7 0
2 years ago
Jonah studied for 3 hours longer than sierra he also studied for 3 times as many hours as william. these relationships are shown
Lynna [10]

Answer:

Sierra studied 3 hours

William studied 2 hours

Step-by-step explanation:

jonah studied 6 hours.

He also studied 3 hours longer than sierra meanining sierra studied 3 hours less than 6 hours.

So, 6 hours minus 3 hours is equals to 3 hours.

With that being said, Sierra has studied 3 hours.

Sierra = 3 hours

The question then states that Jonah studied 3 times as many hours as William.

Reminder: Jonah studied 6 hours in total.

This means that jonahs' hours (6 hours) is equals to 3 times williams hours (3x)

6 hours= 3x                        

x= williams hours

we divide both sides by 3 to see what x is equals to

in other words, we divide Jonahs' hours to see what williams hours are

With that being said, William studied for 2 hours

2 hours = x

7 0
2 years ago
in the figure below line de is parallel to line f g with a transversal AG write and solve a system of liner equation to determin
Kay [80]
The complete question in the attached figure

we know that

angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°

the answer is
x=147°
y=33°

7 0
2 years ago
The CEO of Millennium Dairy Product, a small venture among 10 partners each having 100,000 shares, sought to raise an additional
klemol [59]

Answer:

Millennium Dairy Product

a) Share of the company that SBI Caps should require today to get a required rate of return of 50%.

= 50%

b) If the company had 1,000,000 (100,000 x10) shares outstanding before the private placement, SBI Caps should purchase

1,000,000 shares = 50% of (1,000,000 + 1,000,000) shares

Assuming the founding promoters are not giving up their shares, instead, new equity shares are being issued.

c) The price per share SBI Caps should agree to pay, if her required return was 50% is

Rs.50 per share, which will provide the required additional equity financing of (Rs.50 million) since Rs.50 x 1,000,000 equals Rs.50 million.

d) Pre money and post money valuations:

These are based on the calculated Market Price of Rs.1,000 per share from the Price/Earnings Ratio.

Pre money valuation will be Rs.1,000 x 1,000,000 shares = Rs.1 billion

Post money valuation will be Rs.1,000 x 2,000,000 shares = Rs.2 billion

e) Carried interests of the VC and the promoters

VC's carried interest = share of profits = 50% xRs.50 million = Rs.25 million

Promoters' carried interest = Rs.25 million

Step-by-step explanation:

a) Calculation of share in the company:

SBI Cap's required rate of return is 50%

If she invests Rs.50 million today, her expected return will be equal to Rs.50 million x 50% = Rs.25 million

Since rate of return = Net Income/Initial Investment or (Current value of investment - Initial Investment)/Initial Investment.

This return will be equal to 50% of the total net income of Rs.50 million

b) Price/Earnings P/E ratio = Market price per share/Earnings per share (EPS)

Since P/E ratio of similar companies = 20 times,

The company's P/E = 20 times x EPS

With calculated EPS = Rs.50 million /1,000,000 = Rs.50

Therefore, price per share = 20 x Rs.50 = Rs.1,000

Pre money valuation = Rs.1,000 x 1 million shares = Rs.1 billion

Post money valuation = Rs.1,000 x 2 million shares = Rs.2 billion

c) The carried interest is the share of profits to which the promoters and the Venture Capitalists are entitled.  Their respective shares are 50% of the net income = Rs.25 million each.

d) The pre money and post money valuations:  The pre money valuation is the valuation of the company before the additional equity financing.  The post money valuation is the valuation of the company after the additional equity financing.  There are many ways to value a company.  In this case, we have used the P/E ratio as a basis for the valuation.  However, we did not dilute the earnings per share post money, for simplicity.

3 0
2 years ago
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