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2 years ago

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

Mathematics

2 answers:

shtirl [24]2 years ago

6 0

BG ≅ AG

BG is the perpendicular to the side of the triangle while AG is the angle bisector , So BG cannot equal AG , So BG cannot be congruent to AG. Hence first is false.

DG ≅ FG

DG And FG both are the perpendicular to the sides from the incentre of the circle , Hence DG and FG are congruent , So second statement is true.

DG ≅ BG

Again DG and BG both are the perpendicular to the sides from the incentre of the circle , Hence DG and BG are congruent , So third statement is true.

GE bisects ∠DEF

As said in the question GE is the angle bisector , So yes GE bisects ∠DEF.

This Statement is true.

GA bisects ∠BAF

Again As said in the question GA is the angle bisector , So yes GA bisects ∠BAF.

Hence 2nd, 3rd , 4th , and 5th options are correct.

elena-s [515]2 years ago

4 0

Answer:

2,3,4,5 are the answers

Step-by-step explanation:

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ludmilkaskok [199]

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2 years ago

Calculate the standard deviation. Variance = 107.76. Mean = 34.2

Llana [10]

Answer:

The standard deviation is 10.38

Step-by-step explanation:

Given;

Variance, v = 107.76

mean, x = 34.2

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standard deviation = √variance

standard deviation = √107.76

standard deviation = 10.381

standard deviation = 10.38 (two decimal places)

Therefore, the standard deviation is 10.38

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2 years ago

∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?

sergiy2304 [10]

As the angles are complementary sin A = cos B and sin B = cos A

so sin A + sin B = 0.55 + 0.83 = 1.38

4 0

2 years ago

Read 2 more answers

The perimeter of a triangle equals 8 inches. Two of its sides are equal and each of them is 1.3 inches bigger than the third sid

mafiozo [28]

Let's call the lengths of our two types of sides <em /> $x$ and $y$ .

The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus, $x = y + 1.3$ .

Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:
$(y + 1.3) + (y + 1.3) + y = 3y + 2.6 = 8$

Now, let's solve for y.
$3y + 2.6 = 8$
$3y = 5.4$
$y = 1.8$

Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is $y + 1.3 = 1.8 + 1.3 = \boxed{3.1}$ inches and the length of our smaller side is simply $\boxed{1.8}$ inches.

To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔

5 0

2 years ago

Solve the following quadratic equations by extracting square roots.Answer the questions that follow.

Vikentia [17]

Answer:

1. x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16