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max2010maxim [7]
3 years ago
14

What are the answers for 1-4 this is geometry.

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

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8 0
3 years ago
Factor completely x2 + 20x − 36.
vodomira [7]

Answer:

Prime

Step-by-step explanation:

x² + 20x − 36

You must find a pair of numbers that multiply to give -36 and add to give +20.

The likely candidates are 2 and 18, and they must have opposite signs to give a negative product.

+2 × (-18) = -36; +2 + (-18) =   -16

-2 ×   18  = -36;  -2 +     8   = +16

Neither combination gives +20 as the sum.

The expression can't be factored with rational numbers.

The expression is prime.

5 0
3 years ago
Forty-five percent of the 300 shoppers in a supermarket bought milk. How many of the shoppers in a supermarket bought milk?
Orlov [11]
Turn 45% into a decimal.  You get 0.45,  because you move the decimal two places to the left.

Then multiply 300*0.45
You get 135

135 Shoppers in the supermarket bought milk.
7 0
3 years ago
Can enyone put 457÷4 in long division and show me a picture of it
STALIN [3.7K]
457 divided by 4 118.75 i do not have the long division but you basically just put 4 into 457 and stuff so you do 4 into 45 which is 11.25 then 4 into 7
Which is 1.75 then put that together getting 118.75
6 0
4 years ago
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