Use the Pythagorean Theorem to find the distance

Mathematics

1 answer:

docker41 [41]2 years ago

7 0

Answer:

About 10.05

Step-by-step explanation:

The change in x is 1, so the bottom line is a length of 1. The change in y is 10, so the right line is 10. Since a^2+b^2=c^2, 1^2+10^2=101, and the square root of 101 is about 10.05.

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Provide the reasons for the fol owing proof

Studentka2010 [4]

Answer:

Option d is correct.

Vertical angles are congruent;

SAS

Step-by-step explanation:

Given: $JK \cong KL$ , $NK \cong KM$

In ΔNKJ and ΔMLK

$JK \cong KL$ and [Side] {Given}

$NK \cong KM$

Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.

i.e $\angle NKJ$ and $\angle MKL$ are vertical angles.

Also, vertical angles are congruent.

$\angle NKJ \cong \angle MKL$ [Angle] [Vertical angles are congruent]

SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

then, by SAS postulates;

$\triangle NKJ \cong \triangle MLK$ Hence proved!