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3 years ago

What common angle do CDG AND FCE share?

Mathematics

2 answers:

user100 [1]3 years ago

4 0

Answer:

The correct option is 4.

Step-by-step explanation:

From the given figure it is noticed that the triangle CDG and triangle FCE have a common vertex C. So both triangle are sharing same angle at vertex C.

In triangle CDG and triangle FCE

$\angle GCD\cong \angle FCE$

If the length of two adjacent sides increases, then the inclined angle remains the same.

If the side CD increased to E and side CF increased to G, then

$\angle GCE\cong \angle ECG$

Therefore option 4 is correct.

Mashutka [201]3 years ago

3 0

Triangle CGD and triangle CEF both share the same angle at point C.
This means angle GCE equals to angle ECG

Answer: GCE is congruent to ECG

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Please help me, thank you!

dlinn [17]

Answer:

a. The first four terms are -4 , -4/3, -4/9 , -4/27

b. The series is converge

c. The series has sum to ∞ , the sum of the series is -6

Step-by-step explanation:

* Lets revise the geometric series

- Geometric series:

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric Progression:

- U1 = a , U2 = ar , U3 = ar2 , U4 = ar3 , U5 = ar4

- Un = ar^n-1, where a is the first term , r is the constant ratio

between each two consecutive terms and n is the position of the

number in the sequence

* In the problem

∵ The Un = -4(1/3)^n-1

∴ a = -4

∴ r = 1/3

a) To find the first four numbers use n = 1, 2 , 3 , 4

∴ U1 = a = -4

∴ U2 = -4(1/3)^(2 - 1) = -4(1/3) = -4/3

∴ U3 = -4(1/3)^(3 - 1) = -4(1/3)^2 = -4(1/9) = -4/9

∴ U4 = -4(1/3)^(4 - 1) = -4(1/3)^3 = -4(1/27) = -4/27

* The first four terms are -4 , -4/3, -4/9 , -4/27

b) If IrI < 1 then the geometric series is converge and if IrI > 1

then the geometric series is diverge

∵ r = 1/3

∴ The series is converge

c. The convergent series has sum to ∞

- The rule is: S∞ = a/(1 - r)

∴ S∞ = -4/(1 - 1/3) = -4/(2/3) = -4 × 3/2 = -6

* The sum of the series is -6

7 0

3 years ago

WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER

nadya68 [22]

Answer:

f(x) = -4x + 19

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

8 0

2 years ago

If one data point is 36, which point would make 48 the mean?

yarga [219]

60 explination, its pretty simple

4 0

2 years ago

Why is the notation startfraction dy over dx endfraction used to represent the derivative?

kkurt [141]

We know $\frac{dy}{dx}$ expression is used for represent the derivative.

Actually, derivative is the second name of " Rate of Change".

And if we read $\frac{dy}{dx}$ , it represents the "Rate of change of y with respect to x".

In simple words, a derivative is the rate of change or slope of a very small portion of a function.

dy represents very small change in y-coordinate and dx represents very small change in x-coordinate.

Because deriviate is the second name of " a very small rate of change".

We use $\frac{dx}{xy}$ to represent the derivative.

8 0

3 years ago

If 6 is subtracted from three times a number the difference is twice the number. what is the number

olganol [36]

18-6=12 12/2= 6, the answer is 12 or 18.

6 0

3 years ago