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ELEN [110]
3 years ago
9

If the measure of angle DCF = 34 and the measure of angle DEF = 90, find the measure of angle CDE.

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

118

Step-by-step explanation:

Triangle CDE contains angles CDE, DCR and DER

Angles DCR=17 and DER=45 because in a kite, the diagonal on the line of symmetry bisects the angles and 34-2=17 90/2=45

The angles in a triangle add up to 180 and 180-17-45=118, meaning angle DER=118

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insens350 [35]

Answer:

g(x)=4(3)^{x+1}+8

Step-by-step explanation:

Given:

The original function is given as:

f(x)=2(3)^{x+1}+4

The above function is stretched vertically by a factor of 2 to form the graph of g(x).

According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:

f(x)\to Cf(x)

Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.

Here, the the value of 'C' is 2. So, the equation of g(x) is given as:

g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8

Therefore, the equation of g(x) is g(x)=4(3)^{x+1}+8.

8 0
3 years ago
Can someone explain the formula for the area of a pentagon, and the formula for the length of an arc of a portion of a circle? P
RSB [31]
So a pentagon is constructed by five identical triangles, that's why you can find the area of one triangle and multiply it with 5:
A_pentagon=A_triangle*5
To find the area of a triangle you must use tangens.
You can watch this for more on that on youtube. 

For the length of an arc or a portion of a circle you can find it using: 
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So if you know radians, then 2π is a whole circle. And to calculate for the specific circle you have to use the radius. That's why you multiply with radius, which is the only difference between any two different circles. you then multiply with the  part of the circle that you want to find the lenght for, which is A/360 (because there are 360° in a circle)

I hope that helped. 


4 0
3 years ago
Choose the appropriate table for the differential equation dy/dx=x+1/x
kenny6666 [7]

Answer: 1.

x |0|0.5|2

dy/dx |2|5 |undefined

2.

x |0 |0.5| 2

dy/dx |undefined|5 | 2

3.

x | 0 |0.5|2

dy/dx|undefined |4 |2

Step-by-step explanation:

7 0
2 years ago
How literal equations and formulas are related
Margaret [11]

Answer:

A literal equation is an equation which consists primarily of letters. Formulas are an example of literal equations.

5 0
2 years ago
I answered wrong what’s the right answer?
olganol [36]
The answer is CBE :)))))
6 0
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