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3 years ago

The triangles below are similar find the value of x

Mathematics

2 answers:

avanturin [10]3 years ago

7 0

Its 12 because you do 10.5/21=x/24

masya89 [10]3 years ago

6 0

Answer:

$x=12\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of their corresponding sides is equal

In this problem

$\frac{x}{24}=\frac{10.5}{21}$

$x=24\frac{10.5}{21}$

$x=12\ units$

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Each small kite costs $4, while each large kite costs $7. If the total money collected selling kites is $150, and 30 kites are s

arsen [322]

It would be B. 20 small and 10 large . i just did it on my caculator for you ;)

4 0

4 years ago

Bhaskar went for hiking with scouts’ team and there the scouts were given a task to build tents with the help of bamboos, ropes

dimulka [17.4K]

The triangles on Bhaskar's tent are similar triangles.

The length of IJ is 4.5 m
The applicable theorem is the mid-point theorem
The appropriate formula for area is the Heron's formula
The ratio of ABC to DEF is 1 : 9

(a) The length of IJ

The given parameter are:

$\mathbf{EF = 9m}$

I and J are at the midpoint of DE and DF

The above highlight means that

$\mathbf{IJ= \frac 12 \times EF}$ --- midpoint theorem

Substitute 9 for EF

$\mathbf{IJ= \frac 12 \times 9m}$

$\mathbf{IJ= 4.5\ m}$

(b) The property used to find GH and IJ

In (a), the midpoint theorem is used to calculate IJ

GH and IJ are corresponding sides of similar triangles,

So the midpoint theorem can also be used to calculate the length of GH

(c) The area of the triangle

For the given triangles, the lengths of the sides are known.

When side lengths are known, the formula to use for finding the triangle's area is the Heron's formula.

The Heron's formula is:

$\mathbf{Area = \sqrt{s \times (s -a) \times (s - b) \times (s - c)}}$

Where:

$\mathbf{s = a + b + c}\\\mathbf{a,b,c \to sides\ of\ the\ triangle}$

(d): The ratio of the areas:

For the small triangle, we have:

$\mathbf{a= 3.8,\ b = 4,\ c = 3}$

So, we have:

$\mathbf{s = 3.8 + 4 + 3 = 10.8}$

So, the area is:

$\mathbf{Area = \sqrt{s \times (s -a) \times (s - b) \times (s - c)}}$

$\mathbf{A_{small} = \sqrt{10.8 \times (10.8 -3.8) \times (10.8 - 4) \times (10.8 - 3)}}$

$\mathbf{A_{small} = \sqrt{4009.824}}$

For the big triangle, we have:

$\mathbf{a= 11.4,\ b = 12,\ c = 9}$

So, we have:

$\mathbf{s = 11.4 + 12 + 9 = 32.4}$

So, the area is:

$\mathbf{Area = \sqrt{s \times (s -a) \times (s - b) \times (s - c)}}$

$\mathbf{A_{big} = \sqrt{32.4 \times (32.4 -11.4) \times (32.4 - 12) \times (32.4 - 9)}}$

$\mathbf{A_{big} = \sqrt{324795.744}}$

The ratio of the small triangle to the big triangle is:

$\mathbf{Ratio = A_{small} : A_{big}}$

$\mathbf{Ratio = \sqrt{4009.824}:\sqrt{324795.744}}$

Divide by 4009.824

$\mathbf{Ratio = \sqrt{1}:\sqrt{81}}$

Take square roots

$\mathbf{Ratio = 1 : 9}$

Hence, the ratio of ABC to DEF is 1 : 9

Read more about similar triangles at:

brainly.com/question/24874611

7 0

3 years ago

BRAINLIESTT

Soloha48 [4]

Answer:

D, 9:1

Step-by-step explanation:

There is 36 peach juice for 4 lemon-lime, simplified is 9:1. Hope this helps!

4 0

3 years ago

Read 2 more answers

A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?

fomenos

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

$a_n=3^n+4$

From this explicit formula,

First term of the sequence will be,

$a_1=(3^1)+4$

$a_1=7$

Second term of the sequence,

$a_2=(3^2)+4$

$a_2$ = 13

3rd term of the sequence,

$a_{3}=(3^3)+4$

= 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

$a_n=3a_{n-1}-8$

$a_2=3(a_1)-8$

$a_2=3(7)-8$

$a_2=21-8$ = 13

$a_3=3a_2-8$

$a_3=3(13)-8$

= 39 - 8

= 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

5 0

3 years ago

I need the answer please. Hello

Gennadij [26K]

Answer:

~ 15 %

Step-by-step explanation:

116.4 - 98.3 = 18.1

18.1 / 17.5 = 1.034 SD ABOVE the mean

this is a z-score of .8485 meaning 84.85 % have a score LESS than 116.4 so 15.15 % have a score higher

4 0

2 years ago