All categories

3 years ago

Find the measure of the angle indicated

Mathematics

2 answers:

enot [183]3 years ago

8 0

Answer:

The angle at U is 65 degrees

Step-by-step explanation:

1. We know that a straight line is always 180 degrees..

2. We know that the total interior angle of a triangle is always 180 degrees...

With that in mind, we calculate:

First, we find the missing angle at T, (which is found to be 65 degrees), ( solveing for angle at T)

working out:

180= 115+ T

180- 115= 115-115+T

65. = 0 + T

65= T

Now knowing two angles in our triangle, we are now able to calculate the unknown angle ( angle U) using the two angles.

using our knowledge about interior angles of a triangle, we calculate:

180= angle T + anlge U + angle V

180= 65 + U + 50

180= 65+ 50 + U

180= 115 + U

180-115= 115-115 +U

65= 0 + U

65= U

Therefore, angle at U is 65 degrees...

nikitadnepr [17]3 years ago

7 0

Answer:

? = 65°

Step-by-step explanation:

180 - 115 = 65° (115° and 65° are supplementary angles)

180 - 65 - 50 = 65° (all triangle interior angles total 180°)

You might be interested in

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

qaws [65]

Answer:

$z=0.674$

And if we solve for a we got

$a=25 +0.674*4=27.7$

So the value of height that separates the bottom 75% of data from the top 25% is 27.7 minutes.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time to complete a simple haircut of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,4)$

Where $\mu=25$ and $\sigma=4$

We are interested in the slowest quartile or the first quartile

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=25 +0.674*4=27.7$

So the value of height that separates the bottom 75% of data from the top 25% is 27.7 minutes.

7 0

4 years ago

Write an algebraic expression to represents the verbal expression: the difference between the product of 4 and a number and the

Naily [24]

Answer:

$4n-n^2$

Step-by-step explanation:

I use 'n' as the unknown value, but you can use any letter you want as the variable.

The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.

The square of the number would be n². Squaring a number is multiplying a number by itself.

The phrase 'difference between...' means subtraction.

Putting it together:

"The difference between the product of 4 and a number and the square of the number" would be:

$4n-n^2$

Hope this helps.

4 0

3 years ago

What is going f(x) = 2x2+28x-5 written is vertex form?

AVprozaik [17]

f(x) = 2(x^2 + 14x + ) - 5 2 is taken out of first 2 terms.

f(x) = 2(x^2 + 14x + (14/2)^2 ) - 5 - 2(14/2)^2

2 steps

Inside the brackets: Linear term's coefficient (14) divided by 2 and squared
Outside the brackets: (14/2)^2 multiplied by 2 and subtract so that there is no change in the value of the quadratic.

f(x) = 2*(x + 7)^2 - 103

The graph is of the original quadratic.

8 0

3 years ago

Solve the equation for z. 16z – c= -21z - f

Anna71 [15]

Answer:

z= -f/37 + c/37

6 0

3 years ago

In Los Angeles County, property taxes are typically due twice a year. They are due in November 1st, delinquent in December 10th

rusak2 [61]

Answer:

19.25224 mils

Step-by-step explanation:

Property 1 has a total assessed value of ...

$75,000 +125,000 +1,275 = $201,275

and a total tax of

2×$1,937.50 = $3,875

Property 2 has a total assessed value of ...

$187,500 +312,500 +3,187.50 = $503,187.50

and a total tax of

2×$4,843.74 = $9,687.48

The total assessed value of the two properties is ...

$201,275 +503,187.50 = $704,462.50

The total tax on the two properties is ...

$3,875.00 +9,687.48 = $13,562.48

So, the effective tax rate is ...

$13,562.48/$704,462.50 ≈ 0.01925224 = 19.25224 mils

_____

Additional comments

We have not included penalties in our computation of the effective tax rate, because those can be avoided by timely payment. They are not assessed based on property value, but are based on the time between tax being due and tax being paid. YMMV

We expect the same rate to apply to both parcels. Using this rate for the separate parcels gives values that may be off by a penny. We chose to present the tax rate value to 7 significant figures, because the amount of total tax has 7 significant figures.

6 0

3 years ago