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3 years ago

Question 2 (1 point) What is the value of x if AABC is equilateral?

Mathematics

1 answer:

Marina86 [1]3 years ago

3 0

Answer:

x= 2

Step-by-step explanation:

Given that,

AB = 7.5x

BC = 6x+3

AC = 10x-5

ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,

AC = BC = AB

10x-5 = 6x+3

Taking like terms together

10x-6x = 5+3

4x = 8

x = 2

Hence, the value of x is equal to 2.

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3 years ago

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

SVETLANKA909090 [29]

Answer:

The probability mass function is given by

P(X = 0) = 0.003, P(X = 1) = 0.164, P(X = 2) = 0.833

Step-by-step explanation:

Given to us are two mechanical components.

The probability of the first component meeting the given specifications are 0.98.

The probability that the second component meets the given specifications = 0.85.

In the information given the components are said to be independent.

The probability mass function will be calculated in the following way

i.) P(X=0) which is the probability that neither of the components meet the specifications.

ii) P(X=1) which is the probability when either of the components will meet the specifications and the other will not.

iii) P(X=2) which is the probability that both components meet the specification.

Therefore P(X = 0) = ( 1 - 0.98) × ( 1 - 0.85) = 0.02 × 0.15 = 0.003

and, P(X = 1) = (0.98 × ( 1 - 0.85)) + (( 1 - 0.98) × 0.85)

= (0.98 × 0.15) + (0.02 × 0.85)

= 0.147 + 0.017

= 0.164

and finally, P(X=2) = (0.98 × 0.85)

= 0.833

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3 years ago

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of

svet-max [94.6K]

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ? || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

$Ratio = \frac{Minutes}{Mile}$

When minutes = 16; mile = 4

So, we have:

$Ratio = \frac{16}{4}$

$Ratio = 4$

Next, we multiply the ratio by 7.5

$Minutes = Ratio * 7.5$

$Minutes =4 * 7.5$

$Minutes = 30$

<em>Hence, option B answers the question.</em>

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3 years ago

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uysha [10]

Answer:

Step-by-step explanation:

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3 years ago

2x + 5y= 18 4x + 20y= -36 Solve and Explain first to get right gets brainliest

Jet001 [13]

because 4x+20y=-36,so ( 4x+20y)/2=2x+10y=-18

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then y=-7.2

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3 years ago