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3 years ago

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Mathematics

2 answers:

guapka [62]3 years ago

6 0

Answer: Segment BF = 16

Step-by-step explanation:

meriva3 years ago

5 0

Answer: Segment BD = 15

Step-by-step explanation: Ok. So, we know that segment DE is parallel to segment BC and segment EF is parallel to segment AB. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and also intersects the other two sides, the line divides the sides proportionally. To put it more simply; because segment EF is parallel to segment AB, triangles ADE and EFC are proportional and similar. From there we must find the scale factor by which these two triangles are proportional.

We can do this by dividing the corresponding segments by; each other.

24 ÷ 20 = 1.2

Scale Factor = 1.2

Then we divide segment AD (18) by the scale factor (1.2).

18 ÷ 1.2 = 15

Since segment EF is parallel to segment AB, segment EF corresponds and is congruent to segment DB.

So,

Segment BD = 15

I also got it right on the test, soooo.... yeah

Thar ya go

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How do you decide whether substitution is the best method to solve a system in three variables?

Ivan

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3 years ago

Every day at noon, a bus leaves for Townville and travels at a speed of x kilometers per hour. Today, the bus left 30 minutes la

goblinko [34]

Answer:

Step-by-step explanation:

Given that every day at noon, a bus leaves for Townville and travels at a speed of x kilometers per hour. Today, the bus left 30 minutes late.

If the driver drives 7/6 times as fast as usual, she will arrive in Townville at the regular time.

If correct time leaves then distance = time *speed

280 = t*x where t is the time in hours

Or t = 280/x

Now speed changes to 7x/6 while time changes to (t-1/2)

So 280 = (t-1/2) 7x/6

$280 = (\frac{280}{x} -\frac{1}{2} )(\frac{7x}{6} )\\240= (\frac{280}{x} -\frac{1}{2} )x\\\\x=80$

x = 80 km per hour

5 0

3 years ago

Brad purchased a bag of apples for $2 and b pounds of bananas for $0.50 per pound. He spent a total of $3. The total price of hi

Len [333]

0.5b+2=3
0.5b=3-2
0.5b=1
b=2
so brad purchased 2 pounds of bananas

3 0

3 years ago

Solve for k. 8k + 2m = 3m + k k = 70m k = 7m k = k equals Start Fraction 7 Over m End Fraction. k = k equals Start Fraction m Ov

Leya [2.2K]

Answer:

K=7/m

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

PLEASE HELP NOW PLEASE

Ad libitum [116K]

Volume of a rectangular prism is V = L x W x H

The length for the small prism is 6

The width for the small prism is 4

The height for the small prism is 3

So 6 x 4 x 3 = 72

The length for the large prism is 16

The width for the large prism is 9

The height for the large prism is 2

So 16 x 9 x 2 = 288

Now you add the two volumes together: 288 + 72 = 360 ft cubed.

4 0

3 years ago