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2 years ago

In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b.

Mathematics

1 answer:

ehidna [41]2 years ago

8 0

The statement that cannot be true is that g cannot be parallel to h (g ║h)

<h3>How to know parallel lines in a plane?</h3>

On the plane ,

line b is parallel to line f.

Therefore,

b ║ f

line f is parallel to line g,

Therefore,

f ║ g

line h is perpendicular to line b.

h ⊥ b

Therefore,

Since line h is perpendicular b, line b is perpendicular to h.

b can be parallel to g on the plane.

g cannot be parallel to h because h is perpendicular to b.

h can be perpendicular to f because b is parallel to f.

learn more parallel lines here: brainly.com/question/3443478

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Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

Write the following as a complex number in the form a + bi square root -245

Pepsi [2]

Answer:

Step-by-step explanation:

√(-245)=√(49×5×i^2)=7√5 i=0+7√5 i

5 0

4 years ago

Read 2 more answers

Determine the correct scientific notation form of the number. 327,000,000,000

aalyn [17]

So this "327,000,000,000" needs to be converted into scientific notation, in which the answer that I will get would be 3.27 10^11, in calculation (as in calculator), you will get 3.27E+11.

Hope this helped!

Nate

7 0

3 years ago

The value of the 5 in the ones place in the number 5,555 is how many times as much as the value of the 5 in the hundred place?

Radda [10]

100 times, because 5 times 100 equals 500

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4 years ago

The width of a rectangle is 5 meters less than its length. The area is 84 square

VARVARA [1.3K]

Answer:

12 and 7 meters

Step-by-step explanation:

The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.

The length is 12 and the width is 7

7 0

3 years ago