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3 years ago

Please help me with acellus

Mathematics

2 answers:

lions [1.4K]3 years ago

8 0

I know its something‍♂️

erica [24]3 years ago

7 0

OK, so your first step would be to write your equation like this

7x+3=3x+35 because they are corresponding angles therefore they equal each other

Subtract 3 from both sides, this leaves you with 7x=3x+32

Next subtract 3x from both sides so you have 4x=32.

Your last step is to divide 4x and 32 by 4, so you will end up with x=8

Hope this helps!!

You might be interested in

Find the measures of the angle, its complement, and its suplement if three times the measure of a suplement of an angle is eight

Butoxors [25]

The angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

<h3>Supplementary and complementary angles</h3>

The sum of complementary angles s 90 degrees while that of supplementary angles is 180 degrees.

Let the complement of an angle be 90 -x and its supplement be 180 -x

If three times the measure of a supplement of an angle is eight times the measure of a complement of the angle, then;

3(180-x) = 8(90-x)

Expand

540-3x = 730 - 8x

540-720 = -8x + 3x

180 = 5x

x = 180/5

x = 36 degrees

Complement = 90 - 36 = 54degrees

Supplement = 180 - 36 = 144 degrees

Hence the angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

Learn more on complement and supplement here; brainly.com/question/13517672

#SPJ1

6 0

2 years ago

Please help tap the picture there are two problem I'm stuck on

ANEK [815]

Answer:

1. g(x)=2x+1-3 --> g(x)=2x-2, which is also y=2x-2, so you can graph it.

Step-by-step explanation:

Question 1: If f(x) = 2x+1, then you can see that all you have to do is substitute the equation for f(x) into the g(x) equation because g(x)= f(x)-3. So, if you substitute it, the equation will be g(x) = (2x+1) -3, then you just solve the rest of the equation. Put it into slope intercept form, y=mx+b, and then graph the equation.

Sorry, I don't really understand number 2 myself, so hopefully I could help with he first one.

5 0

4 years ago

the table shows how many miles uyen has run this week. the total distance this week is 1.5 times the distance that she ran last

NNADVOKAT [17]

Given that the table shows the total miles Uyen has run this week.

The image of the table is attached below.

The total distance from the table is $6.5+2.9+4.2+5.5+3.1=22.2$

The total distance this week is 1.5 times the distance that she ran last week.

We need to determine the number of miles that Uyen run last week.

The number of miles Uyen run last week:

Let x denote the number of miles that Uyen run last week.

Let us write the equation from the given data.

Thus, we have;

$22.2=1.5 x$

Dividing both sides by 1.5, we have;

$14.8=x$

Hence, the value of x is 14.8 miles.

Thus, Uyen ran 14.8 miles last week.

7 0

4 years ago

Please help me thank you

notsponge [240]

Answer: a=60, b= 50, c= 180-148=32, d=64, e=d=64, g=180-125=55 and since f=g then f=55, h= 76, I=h=76, j= 180-76= 104

Sorry I cannot explain why they are true because I only learn them in my language so I can’t explain them clearly in English but there is the answer

4 0

4 years ago

The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont

devlian [24]

Answer:

a) 0.39347

b) 0.22313

c) 0.95021

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

$\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)$

and its cumulative distribution function (CDF) is

$\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}$

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

$\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347$

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so A∩B = B and

$\bf P(A | B) = P(B)P(B) = (P(B))^2$

We have

$\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237$

hence,

$\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313$

• If the signal has six red bulbs, what is the probability that atleast one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

$\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}$

We also have:

Probability that at least one of them needs replacement at the first inspection = 1 - probability that none of them needs replacement at the first inspection.

This means that,

Probability that at least one of them needs replacement at the first inspection =

$\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021$

4 0

3 years ago