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2 years ago

If these two shapes are similar, find X

Mathematics

1 answer:

ELEN [110]2 years ago

4 0

Answer:

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

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Using the diagram on the right, find the length of GT and TA.

Art [367]

Answer:

$GT=10\ units$ and $TA=6\ units$

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{GR}{GE}=\frac{GT}{GA}$

we have

$GR=5\ units$

$GE=5+3=8\ units$

$GT=16-x\ units$

$GA=16\ units$

substitute

$\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units$

therefore

$GT=16-x=16-6=10\ units$

$TA=x=6\ units$

5 0

3 years ago

The entrance fee to the national park is $15. The campsite fee is $25 per night.

lisabon 2012 [21]

Answer:

Step-by-step explanation:

a.) y = 25x + 15

b.) y is the total cost x is the amount of nights stayed 15 is the entrance fee and 25 is the cost per night

i.) x is the amount of nights stayed y is the total cost

ii.) slope (or m) is 25 y-intercept is 15

c.) plug in 3 for x

y = 25(3) + 15

y = 75 + 15

y = 90

its $90 for 3 nights

hope this helps <3

8 0

3 years ago

Choose all the numbers that are common multiples of 4 and 5.

densk [106]

Answer:

Step-by-step explanation:

it would be 20 too but there is no opition for this i hope i helped

3 0

3 years ago

Read 2 more answers

Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face

Nataliya [291]

Answer:

a) $P($

b) $n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).$

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space $n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).$

Generally the sets that correspond with the result of at most one tail is therefore given as follows

$P($

Therefore

The result is at most one tail when

$P($

7 0

3 years ago

Can some solve me this one question

iogann1982 [59]

What is the question?

7 0

3 years ago