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kompoz [17]
3 years ago
14

True or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Answer:

The given statement is true.

Step-by-step explanation:

In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.

This statement is true.

The INCENTER is the center of the circle that is inscribed in the triangle. Like the centroid, the incenter is always inside the triangle.

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In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Masja [62]

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

3 0
3 years ago
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=62°, and GH = 96 feet. Find the length of IG to the nearest tenth of a foot.
alexandr402 [8]

Answer:

45.1feet

Step-by-step explanation:

Given the following

∠I=90°

∠G=62°, and

GH = 96 feet = Hypotenuse

Required

IG = Adjacent side

Using the SOH CAH TOA identity

Cos theta = Adj/hyp

Cos 62 =IG/96

IG = 96cos62

IG = 96(0.4695)

IG = 45.1feet

Hence the length of IG to the nearest tenth is 45.1feet

6 0
2 years ago
Read 2 more answers
The height, in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84. (
Schach [20]

Answer:

Step-by-step explanation:

Given that the height in  inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.

X is N(64, 2.8)

Or Z = \frac{x-64}{2.8}

a)  the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.

=P(59.8

b) P(X\geq 59)\\= P(X\geq -1.78)\\ \\=0.9625

c) For 4 women to be height 260 inches is equivalent to

4x will be normal with mean (64*4) and std dev (2.8*4)

4x is N(266, 11.2)

P(4x>260)= \\P(Z\geq -0.53571)\\=0.7054

d) Z is N(0,1)

E(Z19) = P(Z>19)\\= 0.000

since normal distribution is maximum only between 3 std deviations form the mean on either side.

3 0
3 years ago
Can someone please help!!!! Will mark brainliest!
Semenov [28]

Answer:

b

Step-by-step explanation:

7 0
2 years ago
Suppose Y varies directly with x, and y = 25 when x = 140. what is the value of x when y = 36?
Tema [17]

25y.......140x

36y..........x

Cross multiply

25x= 36*140

25x= 5040

x= 5040/25

x= 1008/5

x= 201.6

When y=36 the x will = 201.6


I hope that's help !


4 0
3 years ago
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