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dmitriy555 [2]
3 years ago
15

DIRECTIONS: Draw a picture to represent each problem. Then, use

Mathematics
1 answer:
victus00 [196]3 years ago
4 0
Pythagorean theorem is: a^2+b^2=c^2

1.  10^2+b^2=17^2
     So 100+b^2=289
     b^2=189
     b=\sqrt{189}
     b=13 3/4
     The dimensions are 10 by 13 3/4
 
2.  5^2+b^2=13^2
     So 25+b^2=169
     b^2=144
     b=12
     The ladder reaches 12 feet off the ground
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In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.
stepladder [879]

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = \frac{180-84}{2} = \frac{96}{2} = 48°

3 0
3 years ago
4x – 9y = 7 –2x 3y = 4 what number would you multiply the second equation by in order to eliminate the x-terms when adding to th
steposvetlana [31]
Multiply equation II by 2 and then add up the equations.
8 0
4 years ago
Read 2 more answers
A plants height is 1.4 times it’s age. write an equation for this situation.
saveliy_v [14]
5 x 1.4 = 7

I hope this helped you out!
5 0
4 years ago
Help with this please
Paha777 [63]
I think it is B 
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6 0
3 years ago
(Please help :) Look at the sequence of numbers in each question and write the expression using n (find the nth term, eg, 3n+6)
lianna [129]

Answer:

1. 4n+2

2. 2n+2

3. 5n-3

4. 4n+1

5. 3n

That's all I can work out I'm sorry

3 0
4 years ago
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