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2 years ago

Triangle DEF is congruent to GHJ by the SSS theorem. Which rigid transformation is required to map DEF onto GHJ?

Mathematics

2 answers:

netineya [11]2 years ago

5 0

Answer: Translation.

Step-by-step explanation:

Given: Triangle DEF is congruent to triangle GHJ by the SSS theorem.

We know that the corresponding parts of congruent triangles are congruent.

Thus, Vertex D in ΔDEF is corresponds vertex G in ΔGHJ.

Vertex E in ΔDEF is corresponds vertex H in ΔGHJ.

Vertex F in ΔDEF is corresponds vertex J in ΔGHJ.

We can see that there is equal distance between the corresponding points.

The rigid motion which moves a shape in a particular distance in same direction is known as translation .

Hence, the rigid transformation is required to map DEF onto GHJ is translation.

RUDIKE [14]2 years ago

4 0

Hello!

The rigid transformation required to map triangle DEF onto triangle GHJ is achieved by using translations. Translations do not alter the shape of the triangle, but moves its location on the graph.

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TRIGONOMETRY , can you solve this plz:( even if you know one of them,plz help:)

daser333 [38]

Answer:

See below

Step-by-step explanation:

$\frac{1}{1-cos A} - \frac{1}{1+cos A} =2 cosec A cot A \\ \\ L. H. S.= \frac{1}{1-cos A} - \frac{1}{1+cos A} \\ \\ = \frac{1+cos A - (1 - cos A)}{(1-cos A)(1+cos A)}\\ \\ = \frac{1+cos A - 1 + cos A}{1-cos^{2} A}\\ \\ = \frac{2cos A }{sin^{2} A}\\ \\ =2 .\frac{1}{sin A}.\frac{cos A }{sin A}.\\ \\ = 2.cosec \: A.cot \: A \\ \\ = R.H.S$

5 0

2 years ago

(3/5)^2+4X3-2 what is the value of the expression

Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

$(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

$=12.36 - 2$

$=10.36$

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

$=(\frac{3}{5})^{2} + 4 \times 3 - 2\\$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

Next we do the addition/subtraction. Again, whichever comes first.

$=12.36 - 2$

$=10.36$

7 0

3 years ago

Math help please help me with this page

White raven [17]

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What does "intersecting" mean? Look it up if you're not sure.

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5 0

2 years ago

What number can be add to <img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%2024x" id="TexFormula1" title=" {

4vir4ik [10]

The required number will be 16

the expression will be like :

$9 {x}^{2} + 24x + 16$

$(3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2}$

$(3x + 4) {}^{2}$

hope it helps you cap !!

Anti - Venom

5 0

3 years ago

Solve the system using elimination: Help me please 12x - 8y = -12 6x + 4y = -30

LUCKY_DIMON [66]

12x - 8y = -12

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

= 24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

Now replace x with -3 in the first equation to solve for y:

12(-3) - 8y = -12

-36 - 8y = -12

Add 36 to each side:

-8y = 24

Divide both sides by -8 to solve for y:

y = 24 / -8

y = -3

X = -3 and y = -3

(-3,-3)

4 0

3 years ago