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Yuliya22 [10]
3 years ago
6

Geometry Help

Mathematics
2 answers:
avanturin [10]3 years ago
5 0
You got it! 
TRUE
TRUE
FALSE
horrorfan [7]3 years ago
5 0
1. The vertex angle of an isosceles triangle is always acute: FALSE, since it can be acute or obtuse

2. The base angles of isosceles triangles are always complementary: FALSE, it's true ONLY in an isosceles RIGHT ANGLE triangle, where the angle at the base each equal 45°

3.All of the sides of an isosceles triangle are always congruent: FALSE, all sides are all congruent in an EQUILATERAL triangle

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What are the x-intercepts of the graph of the quadratic function
Svetllana [295]
  • Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

5 0
3 years ago
What is the explicit formula for this arithmetic sequence?<br>3,9,15,21,27​
denis-greek [22]

Answer:

Step-by-step explanation:

Formula is to add 6. As you can see: 3+6=9; 9+6=15; 15+6=21 and 21+6=27.

I hope this was helpful.

8 0
3 years ago
Read 2 more answers
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

Z = \frac{X - \mu}{s}

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
Anyone know how to do this with a explanation ?
storchak [24]

Answer:

30 degrees

Step-by-step explanation:

Since we know that all triangles equal 180 degrees, we can add the 2 given angles and subtract that from 180 to find the remaining angle.

90+60=150

180-150=30 degrees

8 0
3 years ago
-5y - 6bStep 1 of 2: Identify the first term of the algebraic expression. Indicate whether theterm is a variable term or a const
ira [324]

Answer:

a. Variable term

b. Variable term

Explanation:

a) We were given the algebraic expression:

-5y-6b

The first term of the algebraic expression is:

-5y

The first term is a variable term

The variable is "y" and its coefficient is "-5"

b) We were given the algebraic expression:

-5y-6b

The second term of the algebraic expression is:

-6b

The second term is a variable term

The variable is "b" and the coefficient is "-6"

6 0
1 year ago
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