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2 years ago

Find x so that m || n.

Mathematics

1 answer:

Nady [450]2 years ago

8 0

M and n are parallel
so 3x -14 = 2x +25
3x - 2x = 25 + 14
x = 39

the value of x = 39 will make both these angles equal.
3(39) -14 = 117 - 14= 103
2(39) + 25 = 78 + 25 = 103

Answer x = 39

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Given: AB || DE , AD bisects BE. Prove: ABC = DEC using the ASA postulate.

Ket [755]

Answer:

As per ASA postulate, the two triangles are congruent.

Step-by-step explanation:

We are given two triangles:

$\triangle ABC$ and $\triangle DEC$ .

AD bisects BE.

AB || DE.

Let us have a look at two properties.

1. When two lines are parallel and a line intersects both of them, then alternate angles are equal.

i.e. AB || ED and $\angle B$ and $\angle E$ are alternate angles $\Rightarrow$ $\angle B = \angle E$ .

2. When two lines are cutting each other, angles formed at the crossing of two, are known as Vertically opposite angles and they are are equal.

$\Rightarrow \angle ACB = \angle DCE$

Also, it is given that AD bisects BE.

i.e. EC = CB

1. $\angle B = \angle E$

2. EC = CB

3. $\angle ACB = \angle DCE$

So, we can in see that in $\triangle ABC$ and $\triangle DEC$ , two angles are equal and side between them is also equal to each other.

Hence, proved that $\triangle ABC$ $\cong$ $\triangle DEC$ .

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2 years ago

What is a product of 10 and the counting numbers 1 2 3 and so on? Answer for 25 points!

natima [27]

The product of all integers from 1 to 100 is 100!. The formula actually counts the number of factors 5 in n!, but since there are at least as many factors 2, this is equivalent to the number of factors 10, each of which gives one more trailing zero.May 15, 2020

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2 years ago

6. David leaves the house to go to school He walks 200 m west and 125 m

olga nikolaevna [1]

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

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3 years ago