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postnew [5]
2 years ago
14

Solve for the indicated missing segment length.

Mathematics
1 answer:
shusha [124]2 years ago
8 0

Applying the triangle proportionality theorem, the missing segment length is: 3.

<h3>What is the Triangle Proportionality Theorem?</h3>

The triangle proportionality theorem states that if a line that is parallel to a third side intersects the other two sides of a triangle, it divides them proportionally.

Let x represent the given segment length. Using the triangle proportionality theorem, we would have:

(12 - 2)/2 = 15/x

10/2 = 15/x

5 = 15/x

5x = 15

x = 15/5

x = 3

The missing segment length is: 3.

Learn more about the triangle proportionality theorem on:

brainly.com/question/25855270

#SPJ1

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If two angles are supplementary do they form a straight angle ?
natita [175]

Answer:

Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

6 0
3 years ago
1) 21 + 36 - 15 ÷ 3 2) 51 ÷ 3 - 4 x 3
Shalnov [3]

Answer:

1)52

2)5

Step-by-step explanation:

use PEMDAS

1) 21+36-15÷3. 2) 51÷3-4×3

15÷3= 51÷3=17

21+36-5. 17-4×3=12

21+36= 17-12=

57-5= 5

52.

5 0
3 years ago
Read 2 more answers
Can you simplify 132:156 please asap
Vilka [71]

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11:13

Step-by-step explanation:

132:156

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66:78

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8 0
3 years ago
Which of the binomials below is a factor of this trinomial?
Irina18 [472]
I hope this helps you




5.(x^2+3x-10)


x +5


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8 0
3 years ago
Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65.
horrorfan [7]
Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65 
65 is the outlier. 

A.) mean age without the outlier. count of the numbers : 9
5 x 30 =    150
1 x 31 =      31
3 x 32 =<u>      96</u>
total age  277
÷ # of pax<u>    9</u>
mean         30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 =   0.20 ⇒  0.20²  = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 =   1.20 ⇒  1.20² = 1.44 * 3 pax = 4.32

Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

Standard deviation = √0.84 = 0.916 

0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
8 0
3 years ago
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