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dsp73
3 years ago
9

Answer n how to solve

Mathematics
2 answers:
DiKsa [7]3 years ago
5 0

Answer:

Both are congruent

Step-by-step explanation:

7. SSS congruence

KN=KM ........Side

KI=MI ........Side

LN is a common side

Thus by SSS congruence both triangles are congruent

8. ASA congruence

angles PRO=TRS ..........vertically opposite angles are equal

angles POR=RTS ..........given to be equal in the question

angle OPR=180-PRO-POR ...angle sum property of triangle

angle RST=180-RTS-TRS ......angle sum property of triangle

so OPR=RST as PRO=TRS and POR=RTS

line PO=TS .......given in question

so

OPR=RTS ...........angle

line PO=TS .........side

POR=RTS ...........angle

Thus by ASA congruence both triangles are congruent

Vladimir [108]3 years ago
3 0

Answer:

The interior of the triangle are congruent as they are equal in size at point at point l, k, m proof is the line of symmetry shows a 4 way rotation.

We know from how the line represents 2 triangles that equally make an equal sided square should we draw lines

For the g, h, i, j to show a 4 way rotation- should we draw 2 more triangles.

The second shape has congruent angles as the rotation is 2 and angles shown indicate the symmetrical value as midway point are the same also. So while all 3 sets of the second angles are congruent if we make a square shape 8/8 angles have the same degree as one another as there will be 4 triangles in shape 1 and shape 2.

Whilst the rotation is less, this is simply as the base is on the outside and sides are the same- creating a wider perimeter as it enlarges the shape. this may confuse but to prove again we can compare a rotation to equal curve triangles folded within a regular circle shape or just like the first example create 4 triangles and draw 2 lines of symmetry. just like folding a regular square. For full flip rotation within a shape we have found side length is not equal but angles must be 3 of the same for 2 way rotation within a larger shape and 3 equal angles with longer length for rotation within its first found square shape.

Step-by-step explanation:

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A bad punter on a football team kicks a football approximately straight upward with an initial velocity of 89 ft/sec.
Andrej [43]

Answer:

See below

Step-by-step explanation:

Vertical velocity will be affected by gravity in this scenario

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<u />

On the way up and the way down, the ball may reach height of 102.2125 ft :

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6 0
2 years ago
What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

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1 year ago
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charle [14.2K]
<span>In geometry, planes are two-dimensional spaces which extend infinitely. If they do not intersect at all, they are considered parallel. However, if they do intersect, that intersection come in the form of an infinitely-extending collection of 1-dimensional points, which collectively form a line. As such, the answer is "line".</span>
4 0
3 years ago
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allochka39001 [22]

each hiker gets 1 1/2

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5 0
3 years ago
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Rasek [7]

Answer:

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Step-by-step explanation:

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