» 40 students were asked their favourite
shoe colour.
What percentage chose white?

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM

Complete question :

A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?

Answer:

24 home sites

Step-by-step explanation:

Given :

Total size of land = 6 - acre

Size of each home site = 1/4 acre

Number of home sites obtainable from the 6-acre land :

Total size of land ÷ size of each home site ;

6 ÷ 1/4

6 * 4/1

= 24

Hence, 24 home sites are on the plot of land.

Answer:

the area is 42 square units

Step-by-step explanation:

lets break it down

12 x 1 = 12

12 x 5 = 60

60 / 2 = 30

12 + 30 = 42

Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage =  (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

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Answer:

30

Step-by-step explanation:

Well 42

        -

       12

       30

Answer:

perimeter of rectangle = 2 (length + breadth)

= 2(9x + 6y + 13x + 2y)

= 2(22x +8y)

= 44x + 16y

Step-by-step explanation:

9x+6y

9-9x+6-9y both side subtract 9

x+(-3)y

x-3y the answer

13x+2y

13-13x+2-13y

x+(-11)y

x-11y .

follow me

Answer:

£139

Step-by-step explanation:

£12.50 * 11 = 137.50

137.50 + 1.50 = £139

Answer:

137.5 + 1.50 = £139

Step-by-step explanation:

Please Give brainliest

Answer: According to the trendline it would be about 6 lbs

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: I did the test </3

Answer:

step 5

Step-by-step explanation:

Answer:

1/324

Step-by-step explanation:

Answer: 2 2/3

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

Answer:

2.70cm

Step-by-step explanation:

Given data

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume= 204 cm

Height= 8.9 cm

Required

The radius r

let us apply the expression for the volume of a cylinder

V=πr^2h

204=πr^2*8.9

204=3.14r^2*8.9

r^2= 204/27.946

r^2=7.30

r= √7.30

r=2.70cm

Hence the radius is 2.70cm

Answer: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

134-(-80)=134+80=214

Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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Step-by-step explanation:

3 Area of lateral = 3 ( bh ) = 12.2 XIO +7.04X12.2 +7.04x 12.2 = 122+85.888+85.888 = 293.776

293.776 approximate to 288

Answer:

hi

Step-by-step explanation:

i think,

13:14=54

13k+14k=54

27k=54

k=54/27

k=2

13×2=26 and 14×2=28

to verify the correctness of the answer-26+28=56

have a nice day

hope it helps

The ratio of the divide is mathematically given as

26:28

Question Parameters:

divide 54 books between A and B in the ratio 13:14​

Generally,  ratios are mathematically given as

X=13/27*54

X=26

Y=14/27*54

Y=28

In conclusion, the ratio of the divide would be

26:28

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Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)

Where:

[tex]p_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Progression rate.

[tex]n[/tex] - Index of the n-th element of the sequence.

[tex]p(n)[/tex] - n-th element of the series.

If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:

[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]

[tex]r = 4[/tex]

The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].

Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 1197[/tex]

And the next three terms of the sequence are:

n = 5

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 17[/tex]

n = 6

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 21[/tex]

n = 7

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 25[/tex]

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Answer:

the answer is 35

Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

The required value of AB is 33 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Assume BC is the hypotenuse,

Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.

AB² + AC² = BC²

AB² + (12)² = (35)²

AB² + 144 = 1225

AB² = 1225 -144

AB² = 1081

AB = 32.8785

Rounded to two decimal places,

AB = 33 units

Therefore, the required value of AB is 33 units.

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Answer:

rap music

Step-by-step explanation:

^

Answer:

i’m not sure if these are right or not but

Step-by-step explanation:

the first one is no

i think the second one is no

i think the third one is yes

i think the fourth one is yes

i am not sure and i’m REALLY sorry if its wrong

Answer:

C

Step-by-step explanation:

Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).

Answer: [tex]\$16\dfrac{9}{10}[/tex]

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]

money spent on gift B

[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]

Money spent on gift C

[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]

Answer:  its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

Answer:

-8.875

Step-by-step explanation:

8 7/8 > -71/8 > -8.875