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Yanka [14]
3 years ago
13

Find the range of possible values of n.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

B. 6 < n < 25

Step-by-step explanation:

We are given the triangles WXY and WZY with sides XY and ZY congruent and equal to 8.

As the sides WX = 11 > WZ = 9.

Then, the angles opposite to WX will  be greater than the angle opposite to WZ.

i.e. ∠WYX > ∠WYZ

i.e. (7n+5)° > 47°

i.e. 7n° > 42°

i.e. n > \frac{42}{7}°

i.e. n > 6°

Since in ΔWXY, the sum of all three angles is 180°.

This means that (7n+5)° < 180°

i.e. 7n < 175°

i.e. n <  \frac{175}{7}°

i.e. n < 25°

Hence, we get that the range of n is 6 < n < 25.

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Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Three years​ ago, the mean p
Likurg_2 [28]

Answer:

A. There is not sufficient evidence to conclude that the mean price of a​ single-family home has decreased

Step-by-step explanation:

To study : Whether the mean price of single family home has decreased or not -

Null Hypothesis [H0] = There is no change in mean price of single family home

Alternate Hypothesis [H1] = There is change (decrease) in mean price of single family home

If the null hypothesis is not rejected, it implies that 'there is no change in mean price of single family home' has been statistically accepted.

So, it states that - There is not sufficient evidence to conclude that the mean price of a​ single-family home has decreased

6 0
3 years ago
Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
F(x)=2^x evaluate f(5)
Helen [10]

Hey there!

To solve this, we will first replace x with 5 anytime we see it in the equation.

f(5) = 2^5

Now, we simplify 2^5.

The base is 2 and the exponent is 5 in this case.

The exponent is the number of times you multiply the base by itself. In oour case:

2 x 2 x 2 x 2 x 2 = 32

f(5) = 32

Hope this helps!

3 0
3 years ago
How do u evaluate an answer
Alex Ar [27]

Answer:

You basically answer the problem.

Evaluating is the same as answering

5 0
3 years ago
What’s the answer?!?
Stels [109]
The area of the triangle is 50in2, so she can create only 2 triangles.
3 0
3 years ago
Read 2 more answers
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