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Yuri [45]
2 years ago
8

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F a

nd secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5. What is the length of line segment DG? 4 units 7 units 12 units 23 units
Mathematics
2 answers:
USPshnik [31]2 years ago
7 0

Answer:

Step-by-step explanation:

The formula we need here is

6(6+x)=5(5+x+3)

which simplifies to

6(6+x)=5(8+x)

which simplifies to

36 + 6x = 40 + 5x and

x = 4

So DG = 5 + 4 + 3 which is 12

pentagon [3]2 years ago
3 0

Answer:

The correct answer is C. 12

Step-by-step explanation:

I just took the test

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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la
nikdorinn [45]

Answer:

f(x) = 3(2)^x

Step-by-step explanation:

The Table is:

<u>x</u>    <u>f(x)</u>

-2   3/4

-1    3/2

0    3

1     6

2    12

The exponential funtion has the next form:

f(x) = a(b)^x

At x = 0, f(x) = a. Then, a = 3

Isolating b from the equation:

f(x)/a = b^x

ln(f(x)/a) = x*ln(b)

[ln(f(x)/a)]/x = ln(b)

At x = 1, f(x) = 6. Then:

[ln(6/3)]/1 = ln(b)

ln(2) = ln(b)

2 = b

Therefore, the function is f(x) = 3(2)^x

7 0
2 years ago
What is an array of 4 x 875
OLEGan [10]
4 rows and 875 columns, or 875 rows and 4 columns
5 0
2 years ago
Which of the following systems of nonlinear inequalities is graphed below?
aivan3 [116]

Answer:

the correct answer is C.

7 0
2 years ago
Read 2 more answers
50 points if you answer question and show work.
katrin [286]
<span>My answer was D. 13.9 yd.
It depends on which leg is 12 yds
If it's the short one, hyp = 24
If the other one, hyp = 13.9
hope this works

</span>
3 0
2 years ago
Read 2 more answers
A men's softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the e
sergiy2304 [10]

Answer:

There cannot be equal errors in both and yellow has fewer errors.

Step-by-step explanation:

we can do paired t test for these two colours

H_0: \bar = \bar y\\H_a: \bar <  \bar y\\

(one tailed test)

df = 9

The data can be tabulated as follows:

Yellow white

 

5 7

2 6

6 8

7 5

2 9

5 11

3 8

8 3

4 6

9 10

t-Test: Paired Two Sample for Means  

 

Yellow white

Mean 5.1 7.3

Variance 5.877777778 5.788888889

Observations 10 10

Pearson Correlation -0.139051655  

Hypothesized Mean Difference 0  

df 9  

t Stat -1.908439275  

P(T<=t) one-tail 0.044341411  

t Critical one-tail 1.833112923  

P(T<=t) two-tail 0.088682822  

t Critical two-tail 2.262157158  

Since p value one tailed = 0.0443 and it is <0.05 our significance level, we reject null hypothesis.

There cannot be equal errors in both and yellow has fewer errors.

5 0
2 years ago
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