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
s344n2d4d5 [400]
3 years ago
9

2 The triangle and the rectangle shown below have equal perimeters. Find the measures of the side lengths of the triangle. (Figu

res not drawn to scale) 4(x-1) *+8 3x-1 5x +​
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

180

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.When side lengths are given, add them together.

Solve for a missing side using the Pythagorean theorem.

If we know side-angle-side information, solve for the missing side using the Law of Cosines.

You might be interested in
gary deposits 3700 in an account that pays 2.15% simple interest he keeps the money in the account for 3 years but doesn’t make
zzz [600]

Answer:

238.65

Step-by-step explanation:

To find the simple interest we use the formula:

A = P(1 + rt)

Let's break down all the variables that we have.

P = 3,700

r = 2.15% or 0.0215

t = 3

So let's put all our variables into the formula.

A = P(1 + rt)

A = 3,700(1 + (0.0215)(3))

A = 3,700(1 + 0.0645)

A = 3,700(1.0645)

A = 3938.65

Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.

Interest = 3938.65 - 3700

Interest = 238.65

4 0
3 years ago
PLEASE HELPPP !!! I WILL GIVE BRIGHTEst !!!​
djyliett [7]

Answer :

here

13) 4

14) 3

15) 10

16) 8

17) 8

18) 2

19) 9

20) 9

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Find x and y. <br><br> please help !
IrinaK [193]

Using linear pairs,

115+5x=180\\\\5x=65\\\\x=\boxed{13}

By the exterior angle theorem,

2y=45+5(13)\\\\2y=45+65\\\\2y=110\\\\y=\boxed{55}

3 0
2 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Lilian says that 25% of a number will always be less than 75% of any other number. Complete one inequality to support Lillian's
rjkz [21]
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.
6 0
3 years ago
Other questions:
  • Ip a solid sphere with a diameter of 0.19 m is released from rest; it then rolls without slipping down a ramp, dropping through
    15·1 answer
  • I live - Villal
    12·1 answer
  • Which statement about the slope of the line is true?
    13·1 answer
  • A) Function<br> B) Not a function
    11·1 answer
  • Let X and Y be random variables with the following joint moment generating function: M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}
    5·1 answer
  • What is the sign of a• (-b/b) when a=0 and b &lt; 0
    6·1 answer
  • What is the image of the point (-2, 4) after a rotation of 180° counterclockwise
    6·1 answer
  • A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
    13·1 answer
  • Factor completely 54x4 + 2x​
    5·1 answer
  • Please solve Y ASAP please I’ll mark you as brainlister
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!