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DIA [1.3K]
3 years ago
11

Please help i have 1 question show all work thank you

Mathematics
1 answer:
zalisa [80]3 years ago
5 0
 AB * BE = CB * BD were given
so CB/BE = AB/BD  ------------>   property of proportion
<ABC = < DBE    ------------>  vertical angles 
triangle ABC ~  triangle DBE    ------------>  SAS <span>Similarity propery</span>
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What is the positive solution to the equation 0<br> = 3x2-31<br> ?
Bas_tet [7]

Answer:

4.47

Step-by-step explanation:

3x²+31=91

3x²=91-31

3x²=60

x²=60÷3

x²=20

x=√20

x=4.47

6 0
2 years ago
Find the length of the radius of the circle, which is inscribed into a right trapezoid with lengths of bases a and b.
egoroff_w [7]

Answer:

  r = (ab)/(a+b)

Step-by-step explanation:

Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).

Using the Pythagorean theorem, we can write the relation ...

  ((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2

  a^2 +2ab +b^2 -4r(a+b) +4r^2 = 4r^2 +b^2 -2ab +a^2

  -4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab

  r = ab/(a+b) . . . . . . . . . divide by the coefficient of r

The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).

_____

The graph in the second attachment shows a trapezoid with the radius calculated as above.

6 0
3 years ago
A wool sweater originally costs $42.00. if the sweater is on sale for 25% off, what is the new cost of the sweater? $
jolli1 [7]
42 (1- 25/100) = 63/2  = 31.5 dollars

answer is $31.50 

hope it helps
8 0
3 years ago
Read 2 more answers
What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?
NikAS [45]
Formula of the sum of the 1st nth term in a Geometric Progression:


Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)


SUM = 716,144
3 0
3 years ago
Arnold's entire workout consisted of 10 minutes of warm up exercises 25 minutes of lifting weights and 15 minutes on the treadmi
umka2103 [35]

10+25+15=50

25/50

I can be simplified.

The greatest common factor is 25.

25/25=1

50/25=2

So the answer is 1/2.

7 0
3 years ago
Read 2 more answers
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