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Anna11 [10]
3 years ago
13

Geometry math question no Guessing Please help

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Triangle on the right is 45 45 90 right triangle

Ratio of leg : hypo = a :a√2

Given hypo = 6 so leg = 3√2

As you know leg of triangle on the right is the hypo of the triangle on the left

Triangle on the left is 30 60 90 right triangle

Ratio of short leg :hypo = a : 2a

You know hypo = 3√2 so leg x = (3√2 ) / 2 = 3√2 / 2

Answer is A. 3√2 / 2

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Answer:

\frac{3}{4}

Step-by-step explanation:

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15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
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Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

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