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Yuri [45]
3 years ago
8

Which rule explains why these triangles are congruent?

Mathematics
2 answers:
romanna [79]3 years ago
5 0
Sas ..................
vlabodo [156]3 years ago
4 0

Answer: SAS

Step-by-step explanation: by using the reflective property the line in the center it’s the missing “S”

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Determine the open intervals on which the graph of f(x) = x - 4cos x is concave upward or concave downward
bazaltina [42]

The graph of the function f(x) is

  • concave upward, when f''(x)>0;
  • concave downward, when f''(x)

Find f''(x):

1.

f'(x)=(x-4\cos x)'=1+4\sin x;

2.

f''(x)=4\cos x.

Now:

1. when 4\cos x>0, the graph of the function is concave upward and this is for

x\in \left(-\dfrac{\pi}{2}+2\pi k,\dfrac{\pi}{2}+2\pi k\right), \text{ where } k\in Z.

2.  when 4\cos x the graph of the function is concave downward and this is for

x\in \left(\dfrac{\pi}{2}+2\pi k,\dfrac{3\pi}{2}+2\pi k\right), \text{ where } k\in Z.

6 0
3 years ago
9.
Mashcka [7]
To solve this we are going to use the formula for compounded interest: A=P(1+ \frac{r}{n})^{nt}
where 
A is the final amount after t years 
P is the initial amount 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
t is the time in years 

We know for our problem that P=1380, r= \frac{5}{100} =0.05, and t=3. Since the interest is compounded daily, it is compounded 365 times in year; therefore, n=365. Lets replace those values in our formula to find A:
A=P(1+ \frac{r}{n})^{nt}
A=1380(1+ \frac{0.05}{365})^{(365)(3)}
A=1603.31

We can conclude the amount in Diane's after 3 years will be <span>$1,603.31</span>
4 0
3 years ago
Solve the equation below for the value of x.<br><br> −314x + 25 = 214x − 1312
gogolik [260]

Answer:

x=1337/528

Step-by-step explanation:

-314x-214x=-1312-25

-528x=-1337

x=1337/528

8 0
3 years ago
Read 2 more answers
Please help me!!!<br> solve for f : 5/6 f =5<br> 1. 5<br> 2. 4.2<br> 3. 7.3<br> 4. 6
Alik [6]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
In Ryan Corporation, the first shift produced 5 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produc
Andru [333]

Answer:

13750

Step-by-step explanation:

Let 'x' be the number of bulbs produced in second shift

Number of bulbs produced in 1st shift= 5.5x

Total number of bulbs= 5.5x+x

16250=5.5x+x

x=2500

Number of bulbs produced in shift 1= 5.5×2500

                                                            = 13750

7 0
3 years ago
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