Plz help me with this question!

Answer:

option 1

as the sides were already given, A and D are the only way that the triangle can have SAS.

The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.

The  SAS theorem states that if two triangles have a congruent angles and the sides that define the angle  are proportional, the two triangles are similar.

Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24

Then AB/ DE = 7/14 = 1/2

 and AC / DF = 12/24 = 1/2

∴ AB / DE = AC/ DF

Therefore the sides AB and AC are proportional to DE and DF

And for the application of SAS the angle defined by these pairs must be congruent.

AB and AC defines ∠A and DE and DF defines ∠D

Thus, ∠A must  be congruent to  ∠D so that SAS can be to applied to make the given triangles similar.

Therefore, option 1. ∠A ≅ ∠D  is correct option

Also, learn more about SAS similarity theorem from the link below:

https://brainly.com/question/22472034

#SPJ2

Answer:

28

Step-by-step explanation:

200/7

=28.5714285714

Therefore, at most 20 tents can be put up.

PLS GIVE BRAINLIEST

Answer:he account pays 5% simple interest per year. ... 6) Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.

Step-by-step explanation:

低于当地人民：或立场上有一些事情了！儿女情长的好了吗我想做出

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

Answer:

Ya gotta share

Step-by-step explanation:

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

Answer:

The GCF of 40 and 50 is

A 10

Answer: A

Because if u add 25 that goes into 50 not 40 u have to find the answer that goes to each number for the greater added therefore A 10    is the answer

Step-by-step explanation:

Answer:

d= -1/px + 10/9px^2

Step-by-step explanation:

Answer:16d

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

Answer:

∠KYR = 43 degrees

Step-by-step explanation:

1. We know that the entire angle equals to 90 degrees because it is a right angle.

First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90

3c + 64 + 5c + 82 = 90]

8c + 146 = 90

     - 146     -146

8c = -56

c = -7

Now we have to find the value of angle KYR so just plug in -7 for c

3(-7) + 64 = 43

Can get brainliest please?

Answer:

90 centimetres per day

Step-by-step explanation:

Given that:

One of the Bamboo species growth can be seen.

Growth in [tex]\frac{1}{3}[/tex] of a day = 30 cm

To find:

The growth per day in centimetres as a proper fraction, mixed number or whole number.

Solution:

If we are given that:

The growth of a bamboo tree is [tex]y[/tex] centimetres in [tex]x[/tex] number of days.

Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.

Formula can be written as:

Growth per day = [tex]\frac{y}{x}[/tex]

We are given that:

[tex]y = 30\ cm\\x = \frac{1}{3}\ days[/tex]

Putting the values, we get:

[tex]\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}[/tex]

Answer:

Step-by-step explanation:

area = length * width

area = (x - 6) (x - 10)

area = x (x - 10) - 6 (x - 10)

area = x^2 -10x -6x -10

area = x^2 -16x -10

Answer:1146.11111

500*200 = 100,000

100,000 / 90 = 1111.11111

1111.11111+35 = 1146.11111

q1, 96£ q2, 588€

Step-by-step explanation:

q1, 120€×80/100 the zeroes are cancelled then 12×8=96€

q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€

Answer:

It is linear because if all x values are different, it makes it linear.

Answer:

The correct answer to the question is;

1 < x < 4

Step-by-step explanation:

The give parameters are;

ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°

Therefore, the two base angles are 62.5° each by definition of isosceles triangle

Given that the angle subtended by  4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;

4·x - 4 < 12

4·x < 12 + 4

∴ 4·x < 16

x < 16/4

x < 4

Therefore, the range is 1 < x < 4

Answer:

yes because he has 12 friends and the recipe makes 2 1\2 dozen cupcakes.

Step-by-step explanation:

Answer:

hope this helps :)

Step-by-step explanation:

Answer:

If 60% of a number is 90.

Suppose that the number is N.

60% of that number can be written as:

(60%/|00%)*N = 0.6*N = 90

Now we can solve that for N

0.6*N = 90

N = 90/0.6 = 150.

for the second part, we have that:

% of a number is 180, what is the 150%?

We do not have the first percentage, so i could not really answer this, so lets do it in a general way.

A% of a number N, is equal to 180.

(A%/100%)*N = 180

(A/100)*N = 180

Then:

N = 180*(100/A).

Now we want to compute the 150% of this number, this will be:

(150%/100%)*N

0.15*N = 0.15*180*(100/A). = 0.15*18,000/A = 2,700/A

Where A will depend on the first percentage.

Answer:

Try to understand by substitute a number in a and n.

Step-by-step explanation:

For example,

a=2, n=1

a^n= 2^1= 2

[tex]\frac{1}{2}[/tex] = 0.5

2^(-1)=0.5

Step-by-step explanation:

[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]

~Math Induction

[tex] \: [/tex]

—Prove that n = 1

[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]

[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]

[tex] \: [/tex]

—Prove that n = k

[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]

[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]

[tex] \: [/tex]

—Prove that n = k + 1

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]

[tex] \: [/tex]

Proved that 1/a^n = a^-n

Answer:

The local newspaper has 250 readers in total

Step-by-step explanation:

Given that

Letter to the editor = 10

Also it is given that 10 is the 4% of total readers of the newspaper.

Let x be the number of readers of the newspaper

It can be written as:

[tex]10 = 4\%\ of\ x[/tex]

Converting the percentage into decimal

[tex]10 = 0.04x\\\frac{10}{0.04} = \frac{0.04x}{0.04}\\x = 250[/tex]

The newspaper has 250 readers.

Hence,

The local newspaper has 250 readers in total

Answer:

a. There is nothing wrong with Mary's reasoning b. 2 water lilies.

Step-by-step explanation:

a. This is because, she reasons that if she doubles the amount of water lilies she buys, it would take half the time it takes to produce 10,000 lilies. So, there is nothing wrong with Mary's reasoning.

b. Since it takes 1 water lily to produce 10000 lilies in 20 days, 1 water lily will produce x lilies in 10 days.

So, x = 10000 × 10/20 = 5000 lilies

So, 1 water lily produces 5000 lilies in 10 days.

So, x water lilies will produces 10000 lilies in 10 days.

So x = 10000 × 1/5000 = 2 water lilies

So, 2 water lilies will produce 10000 lilies in 10 days.

So, Mary needs 2 water lilies so she can meet her goal of having the pond surface covered in 10 days.

Answer:

answer of this question is r=0.94

Answer: oh god

Step-by-step explanation:

I say.... The first one! :D

Answer:

C + 1 = 1 + 1 + 1 + 1 + 1 +1

Step-by-step explanation:

Answer:

i think its d

Step-by-step explanation:

not copying i think

Answer:

C - y = 3x - 2

Step-by-step explanation:

I took the test. Hope this helps! :)