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Travka [436]
3 years ago
8

Help me on this question

Mathematics
1 answer:
vredina [299]3 years ago
6 0

x = 180 - (92  + 36) = 52 \\ y = 180 - 36 = 144
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If LN=3+8x, find LN<br><br> L•——–8•——M——6x-1——–•N
ElenaW [278]

Answer:

Value of LN = 19 units

Step-by-step explanation:

Given:

LN = 3 + 8x

Find:

Value of LN

Computation:

We know that LM + MN = LN

So,

8 + 6x - 1 = LN

So,

3 + 8x = 8 + 6x - 1

3 + 8x = 7 + 6x

8x - 6x = 7 - 3

2x = 4

x = 2

So,

LN = 3 + 8x

LN = 3 + 8(2)

LN = 3 + 16

LN = 19

Value of LN = 19 units

8 0
3 years ago
What angles are vertical
Irina-Kira [14]
The answer would be <14 and <16
5 0
3 years ago
Read 2 more answers
The five-number summary of scores on a test, in increasing order from the minimum to the maximum, is: 35 60 65 70 90. Based on t
Sav [38]

Answer:

A

35 60 65 70 90

Q1 = 60, Q3 = 70, Q3 - Q1 = 10

Low suspected outliers : 10 x 1.5 = 15

range, 60 -15 = 45

           70 + 15 = 85

Hence, there are low suspected outliers i.e 35 and 90

8 0
2 years ago
a toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 6cm more than the shorter leg a
Karolina [17]
X= shorter leg
x+6= longer leg
(x+6)+6= hypotenuse

Use the Pythagorean theorem to find the length of each side.

a= one leg
b= other leg
c= hypotenuse.

SHORTER LEG:
a^2 + b^2= c^2
substitute each length above

x^2 + (x+6)^2= [(x+6)+6]^2
square each set of parentheses; add inside right side parentheses before squaring

x^2 + (x+6)(x+6)= (x+12)(x+12)
squaring is multiplying each parentheses by itself one time; use the FOIL method: multiply first, multiply outside, multiply inside, multiply last

x^2 + x^2 + 6x + 6x + 36= x^2 + 12x + 12x + 144
combine like terms

2x^2 + 12x + 36= x^2 + 24x + 144
subtract x^2 from both sides

x^2 + 12x + 36= 24x + 144
subtract 24x from both sides

x^2 - 12x + 36= 144
subtract 144 from both sides

x^2 - 12x - 108= 0
factor

(x + 6)(x - 18)= 0
set each parentheses equal to 0

x + 6= 0
x= -6

x - 18= 0
x= 18 cm shorter leg

***Since a side cannot be a negative number, x= 18. Substitute x=18 to find the other sides.

LONGER LEG:
= x+6
= 18 + 6
= 24 cm longer leg

HYPOTENUSE:
= (x+6)+6
= 18 + 6 + 6
= 30 cm hypotenuse


CHECK:
18^2 + 24^2= 30^2
324 + 576= 900
900= 900


ANSWER:
x= 18 cm shorter leg
x+6= 24 cm longer leg
(x+6)+6= 30 cm hypotenuse

Hope this helps! :)
8 0
2 years ago
5. Point U is the midpoint of ty. Find the value of x. Round to the nearest tenth if necessary.
sattari [20]

The value of x is 8.5.

Solution:

U is the mid-point of TV.

TU = 6

UV = 2x - 11

TU = UV

6 = 2x - 11

Add 11 on both sides.

6 + 11 = 2x - 11 + 11

17 = 2x

Divide by 2 on both sides.

$\frac{17}{2} =\frac{2x}{2}

8.5 = x

Switch the sides.

x = 8.5

Option B is the correct answer.

7 0
3 years ago
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