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timama [110]
2 years ago
8

Given m||n, find the value of x and y.

Mathematics
1 answer:
Elina [12.6K]2 years ago
4 0

Answer:

x = 18 , y = 45

Step-by-step explanation:

The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.

Same- side interior angles sum to 180° , then

6x + 7 + 4x - 7 = 180 , that is

10x = 180  ( divide both sides by 10 )

x = 18

Then

6x + 7 = 6(18) + 7 = 108 + 7 = 115

6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so

3y - 20 = 115 ( add 20 to both sides )

3y = 135 ( divide both sides by 3 )

y = 45

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Answer:

72

Step-by-step explanation:

36 x 2 = 72

To check your answer:

72 / 2 = 36

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What is the value of x? <br> A) 80 degrees <br> B) 50 degrees<br> C) 90 degrees<br> D) 65 degrees
n200080 [17]

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3 years ago
Annabelle went to the grocery store and bought bottles of soda and bottles of juice.
lora16 [44]

Answer:

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5 0
3 years ago
A random sample of 450 vacationers in a huge luxury resort showed that 150 were business executives. We want to create a 95% con
Zolol [24]

Answer:

p(s) = 0,33

Step-by-step explanation:

n = 450

p₀ = 150/450       p₀ = 0,33      then    q₀  = 0,67

n*p₀ = 0,33*450  =  150

n*q₀  = 0,67*450 = 301

n*p₀  and n*q₀   more than 10, we can approximate  the binomial to a Normal Distribution Distribution

a) p - p₀  = z(c) * √ (p₀q₀)/n

z(c) =  ??

CI   95 %    then α = 5 %    α = 0,05      α/2 = 0,025

z(c) = 1,96

p  =  p₀  ±  z(c) * √ (p₀q₀)/n

p  = 0,33 ± 1,96 * 0,022

p =  (  0,33 - 0,04 ;  0,33 +  0,04

p = ( 0,29  ; 0,37 )

The value of the center of the confidence Interval is 0,33

p(s) = 0,33

7 0
3 years ago
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