What is the distance, in feet, across the patch of swamp water?
What is the distance, in feet, across the patch of - 1

Answers

Answer 1
Answer:

Answer:

Therefore the distance across the patch of swamp water is 50 ft

Step-by-step explanation:

Given:

VW = 100 ft

WX = 60 ft

XZ = 30 ft

To Find:

ZY = l = ?

Solution:

In  Δ VWX and Δ YZX

∠W ≅ ∠ Z    …………..{measure of each angle is 90° given}

∠VXW ≅ ∠YXZ      ..............{vertically opposite angles  are equal}

Δ ABC ~ Δ DEC ….{Angle-Angle Similarity test}

If two triangles are similar then their sides are in proportion.

(VW)/(YZ) =(WX)/(ZX) =(VX)/(YX)\ \textrm{corresponding sides of similar triangles are in proportion}\n  

On substituting the given values we get

(100)/(l) =(60)/(30)\n\nl=(3000)/(60)=50\ ft

Therefore the distance across the patch of swamp water is 50 ft


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What is the common ratio of the following sequence 80,20,5,...

Answers

ratio is the simpified fraction 
80/20 =4/1 or 4 
20/5=4/1 or 4

so the common ratio is 4

Please award me BRAINLIEST if my answer is satisfactory.
Thanks!
a₁ = 80;  a₂ = 20;  a₃ = 5...

common ratio = a₂/a₁ = 20/80 = 1/4
or
common ratio = a₃/a₂ = 5/20 = 1/4

Just divide a successive pair of terms

Answer: 1/4

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Answers

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Which is the coldest temperature? Explain how you determined this using the number line.

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Answer:

The coldest temperature would be -4 °F, because it is the farthest number on the left side of zero on the number line.

Which of these graphs represents the graph of line y = -x + 1?

Answers

Answer:

See attached picture.

Step-by-step explanation:

To graph the equation, use the slope intercept form of the line to identify the slope and y-intercept.

y = -x + 1                          y = mx+b

m=-1 and b=1

This means start at 1 on the y-axis and plot a point. From this point (0,1), move down 1 unit and to the right 1 unit. Plot this point (0,1). Connect the two points.

there are 12 girls and 18 boys in a class. What is the largest number of groups they can be split up into and have the same number of boys and girls on each team?

Answers

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I need help on this. its a chance to get a passing grade

Answers

Answer:

1 5/6

Step-by-step explanation:

We first convert each mixed number to an improper fraction.

To change -6 7/8, we will ignore the negative at first.  Multiply the whole number by the denominator:

6(8) = 48

Add the numerator:

48+7 = 55

Putting the negative back in, we have -55/8.

To change -3 3/4, ignore the negative at first.  Multiply the whole number by the denominator:

3(4) = 12

Add the numerator:

12+3 = 15

Putting the negative back in, we have -15/4.

This gives us

-55/8 ÷ -15/4

To divide fractions, flip the second one and multiply:

-55/8 × -4/15

Multiply straight across:

(-55×-4)/(8×15) = 220/120

Simplifying this, we know that both 220 and 120 are divisible by 10; this gives us

22/12

Both 22 and 12 are even, so they are both divisible by 2.  This gives us

11/6

6 will go into 11 one time, with 5 remaining; this gives us

1 5/6