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2 years ago

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Mathematics

2 answers:

Basile [38]2 years ago

7 0

Answer:

23.2

Step-by-step explanation:

15.7 - (-7.5) = 15.7 + 7.5 (because if there's 2 negative sign it makes the number positive)

15.7 + 7.5 = 23.2

Licemer1 [7]2 years ago

7 0

Answer:

23.2

Step-by-step explanation:

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If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?

Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B + 90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0

2 years ago

FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC

andrey2020 [161]

Answer:

The value of x is $31^{\circ}$ .

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4= $28^{\circ}$

Hence, ∠1=∠4= $28^{\circ}$

And On FG the sum of angles will be $180^{\circ}$

∠3+∠2+∠1= $180^{\circ}$

$90^{\circ}$ +∠2+ $28^{\circ}$ = $180^{\circ}$

Hence, ∠2= $62^{\circ}$

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

$62^{\circ}+3x=x+4x$

On simplification we get:

$2x=62^{\circ}$

$x=31^{\circ}$

Hence, the value of x is $31^{\circ}$ .

3 0

2 years ago

X is negative and<br> x + y is positive.<br> X =<br> Explanation:

-Dominant- [34]

Answer:

Y must be greater than X

X must be less than Y

4 0

2 years ago

What is 1+1? lol i know it’s 2

bogdanovich [222]

Lol I'll just comment to get 5 points

7 0

2 years ago

Find the length of the hypotenuse of a right triangle with legs of 4 and 3. A).5 B).6 C).7 D).8

iogann1982 [59]

4×4=16

3×3=9

16+9=25

$\sqrt{25}$

ans =5

4 0

3 years ago