1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Degger [83]
3 years ago
5

Find the measure of angle A. This is for my math class, and I’ve been stuck on this for a while. Please help!

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

20°

Step-by-step explanation:

The sum of angles in a ∆ = 180°

Therefore, (17x - 1) + (3x - 4) + 25 = 180

Use this expression to find the value of x, then find the measure of angle A.

17x - 1 + 3x - 4 + 25 = 180

17x + 3x - 1 - 4 + 25 = 180

20x + 20 = 180

Subtract 20 from both sides

20x + 20 - 20 = 180 - 20

20x = 160

Divide both sides by 20

\frac{20x} = \frac{160}{20}

x = 8

Find measure of angle A.

Angle A is given as 3x - 4

Plug in the value of x and solve

A = 3(8) - 4 = 24 - 4 = 20

You might be interested in
The U.S. annual energy consumption is roughly 1 x 1020 joules per a year. If there are 350,000,000 people in the U.S., express t
AnnZ [28]

Answer with Step-by-step explanation:

Given the total energy consumption for all of the population is

E=1\times 10^{20}Joules

Thus energy consumed by each person per year can be obtained by dividing the total energy consumed by the total population Thus we get

E_{per\cdot person}=\frac{1\times 10^{20}}{350\times 10^{6}}\\\\E_{per\cdot person}=28.57\times 10^{10}Joules/Year

Now the energy consumed in each second assuming that there are 365 days in each year equals

E_{second}=\frac{28.57\times 10^{10}}{365\times 24\times 3600}\\\\E_{second}=9059.49Joules

4 0
3 years ago
Solve for x plsssssss
BartSMP [9]

Answer:

x = 129º

Step-by-step explanation:

It will take some time to elaborate but start this way:

you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º

so 57+58 =  115

to discover the other angle you just have to 180-155 = 65

Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...

5 0
3 years ago
What is the equation of the line that passes through the point<br> (6,7) and has a slope of o?
QveST [7]

Answer:

y= 7

Step-by-step explanation:

Plug in values into y=mx+b

m= slope

b= y intercept

Since slope is 0, y will always be at 7.

y= 0(x) +7

y= 7

6 0
2 years ago
2.2.PS-8 Find the value of x when 6 - 4x = 6x - 8x + 8. The value of x is​
Bess [88]

Answer:

X = -1

Step-by-step explanation:

6 - 4x = 6x - 8x + 8

-6.                      -6

-4x = -2x + 2

+2x.   +2x

-2x = 2

divide both sides by -2

x = -1

6 0
2 years ago
According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i
Ierofanga [76]

Answer:

a) P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

b) P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)

P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107

P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

And replacing we got:

P(X\leq 2) = 0.107+0.268+0.302=0.678

c) For this case we want this probability:

P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302

P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268

P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107

And replacing we got:

P(X \geq 8) = 0.677

And replacing we got:

P(X\geq 8)=0.0000779

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Let X the random variable of interest, on this case we now that:  

X \sim Bin (n=10 ,p=0.2)

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:  

X \sim Binom(n=10, p=0.2)  

Part a

We want to find this probability:

P(X=2)

And using the probability mass function we got:

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

Part b

For this case we want this probability:

P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)

We can find the individual probabilities and we got:

P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107

P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

And replacing we got:

P(X\leq 2) = 0.107+0.268+0.302=0.678

Part c

For this case we want this probability:

P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302

P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268

P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107

And replacing we got:

P(X \geq 8) = 0.677

3 0
3 years ago
Other questions:
  • Another problem I’m struggling with
    13·2 answers
  • What does 3-3*6+2 equal
    15·1 answer
  • Abcd is a quadrilateral. three of the angles of abcd measure 100°, 87°, and 106°, respectively. find the measure of the missing
    12·1 answer
  • A square acre of land is 4840 square yards the length of one side of the square is between which of the following
    5·1 answer
  • What is 1/2 (2n+6) = 5n - 12 - n
    12·1 answer
  • What is the value of the expression below when <br> y=9 and z=3?<br> 10y−7z
    11·2 answers
  • There is a box of crackers that has 2/5 of the crackers remaining. If Mrs. Cooper eats 3/10 of the remaining crackers,what fract
    11·1 answer
  • ANSWER ASAP!!!!!! PLEASE
    6·1 answer
  • Complete the given table for the equation 2x+y = 8
    11·1 answer
  • Find the distance between each pair of points<br> -6 -5 2 0
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!