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anygoal [31]
3 years ago
7

In the figure, triangles ABC and DEF are congruent.

Mathematics
1 answer:
Zinaida [17]3 years ago
8 0
It’s d hope it helps
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The value of x is . I cant find any answers on this
GenaCL600 [577]
The angle that is next to 9x should be 180 - 9x because it is a straight angle.

Since there are 180 degrees in an angle we can add up the values to 180 and solve for x.

180- 9x + 5x + 9 + x = 180
-3x = -9
x = 3

Hope this helped!
5 0
3 years ago
Read 2 more answers
Teri went shopping with $300. Her Christmas shopping list is: 5 barbies for $10.50 each,, earbuds for $45, 3 sweaters for $22 ea
Romashka [77]

5 times 10.50 = $52.5

An additional $45

3 times 22 = $66

An other additional $65

The total price her shopping list costs is 229.5

Now, $300 - $229.5 = $70.5

Teri will have $70.50 left after buying these items.

3 0
3 years ago
Your gym membership costs $33 per month after an initial membership fee . you paid a total of $228 after 6 months.
Lubov Fominskaja [6]
So, what I did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9 month total cost of $327. Hope from here you are able to set up your equation now you have all the information needed :)
4 0
3 years ago
Slope is –2 &amp; (5, 3) is on the line.<br> Y-Intercept:<br> Equation of the line (no spaces):
insens350 [35]

Answer:

y-int: (0, 13)

Equation: y = -2x + 13

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

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

Step 1: Define variables

<em>m</em> = -2

Random point (5, 3)

Step 2: Plug in known variables

y = -2x + b

Step 3: Find y-intercept <em>b</em>

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

3 0
3 years ago
A simple random sample of size nequals15 is drawn from a population that is normally distributed. The sample mean is found to be
Bond [772]

Answer with explanation:

To test the Significance of the population which is Normally Distributed we will use the following Formula Called Z test

   z=\frac{\Bar X - \mu}{\frac{\sigma}{n}}

\Bar X =31.1\\\\ \sigma=6.3\\\\ \mu=25\\\\n=15\\\\z=\frac{31.1-25}{\frac{6.3}{\sqrt{15}}}\\\\z=\frac{6.1\times\sqrt{15}}{6.3}\\\\z=\frac{6.1 \times 3.88}{6.3}\\\\z=3.756

→p(Probability) Value when ,z=3.756 is equal to= 0.99992=0.9999

⇒Significance Level (α)=0.01

We will do Hypothesis testing to check whether population mean is different from 25 at the alpha equals 0.01 level of significance.

→0.9999 > 0.01

→p value > α

With a z value of 3.75, it is only 3.75% chance that ,mean will be different from 25.

So,we conclude that results are not significant.So,at 0.01 level of significance population mean will not be different from 25.

3 0
3 years ago
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