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Vesna [10]
2 years ago
6

Given: AB=BC, D is the midpoint of AB, and E is the midpoint BC. Prove: AD=BE

Mathematics
2 answers:
sergij07 [2.7K]2 years ago
5 0

Answer:

AD=BE

Step-by-step explanation:

Because AB and BC are equal, their lengths are also equal and also it is an Isosceles triangle. Therefore the midpoint of AB or the half of AB which is either AD or DE are equal. Vice versa for BC. So AD=BE

wel2 years ago
4 0

Answer:

Using mid point theorem, A line segment joining the mid points of the two sides of the triangle, is equal to half the length of the third side.

D and E are the mid points. Hence,

DE=

2

1

AC

DE=

2

1

(6.4)

DE=3.2cm

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what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2
Marta_Voda [28]
If the roots to such a polynomial are 2 and 1+\sqrt2, then we can write it as

(x-2)(x-(1+\sqrt2))

courtesy of the fundamental theorem of algebra. Now expanding yields

(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use 1-\sqrt2 as a root. In this case, that would make our polynomial

(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...
5 0
3 years ago
I need help with this page
Molodets [167]
For 1 the answer is Junior High B which is letter C
3 0
3 years ago
Solve. *25 points*<br><br> 1/2 divided by 2/3 =?
Colt1911 [192]

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

7 0
2 years ago
Find the measure of Angle B<br><br> A. 50°<br> B. 55°<br> C. 60°<br> D. 65°
kondaur [170]

Option B. 55° is the correct answer

Step-by-step explanation:

"The sum of interior angles of a triangle is always 180°"

Given

m∠A=(3x+1)°

m∠B=(2x-1)°

m∠C = 40°

We know that

m∠A+m∠B+m∠C=180°

Putting the values of angles

(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\

Subtracting 40 from both sides

5x+40-40=180-40\\5x=140

Dividing both sides by 5

\frac{5x}{5} = \frac{140}{5}\\x=28

We have to find Angle B,

So

m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°

Hence,

m∠B=55°

Option B. 55° is the correct answer

Keywords: Triangle, Interior angles

Learn more about triangles at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#learnwithBrainly

8 0
3 years ago
What does h-13=184 equal
34kurt

Answer:

h = 197

Step-by-step explanation:

add 14 to each side, and h = 197

5 0
3 years ago
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