Mathematics High School

## Answers

**Answer 1**

**Answer:**

B & C &D&E

**Step-by-step explanation:**

**Answer 2**

The only triangle **similar **to ΔABC in the given **options **is ΔDEF. The **correct **option is (A).

How to find the similarity between two triangles?

The **similarity **can be found in many **ways **such as by SAS, ASA, AAA and SSS **rules. **Two similar **triangles **have same **shape **but not the same **size**.

The given **triangle **ΔABC is shown in the **diagram **as below,

The given options are **examined **one by one as follows,

(a) In this option the **ratio** between the **corresponding **sides of ΔABC and ΔDEF can be found as,

AB/DE = 4/44 = 1/11

BC/EF = 3/33 = 1/11

AC/DF = 5/55 = 1/11

Since, all the corresponding ratios are **equal**. ΔABC and ΔDEF are **similar**.

(a) In this option the ratio between the corresponding sides of ΔABC and ΔDEF can be found as,

AB/DE = 4/44 = 1/11

BC/EF = 3/33 = 1/11

AC/DF = 5/55 = 1/11

Since, all the corresponding ratios are equal. ΔABC and ΔDEF are similar.

(b) In this option the ratio between the corresponding sides of ΔABC and ΔJKL can be found as,

AB/JK = 4/21

BC/KL = 3/20

AC/JL = 5/29

Since, all the corresponding ratios are not equal. ΔABC and ΔJKL are not similar.

(c) In this option the ratio between the corresponding sides of ΔABC and ΔGHI can be found as,

AB/GH = 4/24 = 1/6

BC/HI = 3/7

AC/GI = 5/25 = 1/5

Since, all the corresponding ratios are not equal. ΔABC and ΔGHI are not similar.

(D) In this option the ratio between the corresponding sides of ΔABC and Δmno can be found as,

AB/MN = 4/10 = 2/5

BC/NO = 3/7.4

AC/MO = 5/12.5 = 2/5

Since, all the **corresponding ratios** are not equal. ΔABC and ΔMNOare not **similar**.

Hence, the **triangle similar **to ΔABC is ΔDEF.

To know more about** similarity of triangles** click on,

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## Related Questions

Maggie is picking apples for her chickens she had 12 basket she put 30 in each basket how many apples does maggie have in all

### Answers

360 Explanation: you have to times 12 by 30 because there are 30 apple in one basket and u need 12 baskets so after you times it it gives you 360.

solve pls brainliest

### Answers

**Answer:**

0.9375

**Step-by-step explanation:**

First, you memorize that 1/8 is 0.125.

Second, know that that 1/16 is half of 1/8 so half of 0.125 is 0.0625.

Third, multiply 0.0625 by 15.

Hey there!

• In order to convert a fraction into a decimal you have to DIVIDE the NUMERATOR (the number on the TOP) by the DENOMINATOR (the number on the BOTTOM)

Here’s the formula:

a/b

= a ÷ b

= c

Whereas, “a” is your numerator, “b” is your denominator, & “c” is your decimal.

NOW LET’S ANSWER THE QUESTION.

15/16

= 15 ÷ 16

= 0.9375

Therefore, your answer is: 0.9375

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

A typical tip in a restaurant is 15 percent of the total bill. If the total bill is $90, what would the typical tip be?

### Answers

**Answer:**

$103.5

**Step-by-step explanation:**

HELP ME PLS bro i suck at math;-;

### Answers

[tex]\huge\underline\color{pink}{Answer ☘}[/tex]

[tex]angle \: sum \: property \: of \: a \: triangle \\ states \: that \: the \: sum \: of \\ all \: the \: three \: angles \: of \: a \: triangle \: is \\ equal \: to \: 180°[/tex]

**therefore****~**

**[tex]63 + (x + 17) + (4x - 5) = 180****°**** \\ 63 + x + 17 + 4x - 5 = 180****°**** \\ 5x + 75 = 180 \\ 5x = 180****°**** - 75 \\ 5x = 105****°**** \\ x = \frac{105}{5} = 21****°****[/tex]**

**therefore ****the ****measure ****of ****all ****the ****angles ****are****.****.**

**∠****1**** ****=**** ****6****3****°**

**∠****2**** ****=**** ****(**** ****x ****+**** ****1****7**** ****)**** ****=**** ****(**** ****2****1**** ****+**** ****1****7**** ****)**** ****=**** ****3****8****°**

**∠****3**** ****=**** ****(**** ****4****x**** ****-**** ****5**** ****)**** ****=**** ****(**** ****8****4**** ****-**** ****5**** ****)**** ****=**** ****7****9****°**

**[tex]thus \: the \: measure \: of \: the \: largest \****\**** ****angle\****:**** ****is \: 79****°****[/tex]**

**hope ****helpful****~**

f(x) = 10x + 45, find f(1)

### Answers

Awnser : 55

Explanation : 10(1) + 45 -> 10 + 45 = 55

**Answer:**

[tex]f(1) = 55[/tex]

**Step-by-step explanation:**

We are supposed to* replace 'x' with 1 *and then

*.*

**evaluate**=====================================================

[tex]f(x) = 10x + 45\\\rule{150}{0.5}\\f(1) = 10(1) + 45\\\\f(1) = 10 + 45\\\\\boxed{f(1) = 55}[/tex]

=====================================================

**Hope this helps! **

Consider the right triangle in the figure below and determine the value of

a, b, c, and d.

### Answers

The unknown values are as follows:

**a = 48.7°**

**b = 51.43**

**c = 12.16**

**d = 122.39**

Properties of a right angle triangle:One angle is equals to 90 degreesThe sides and angle can be calculated using trigonometric ratios

Therefore,

**sin 72.3° = opposite / hypotenuse**

sin72.3° = 49 / b

b = 49 / sin 72.3

b = 49 / 0.95266148125

b = 51.4348495916

**b = 51. 43**

**a = (180 - 90 - 23.6) - (180 - 72.3 - 90)**

a = 66.4 - 17.7

**a = 48.7°**

**tan 23.6 = opposite /adjacent**

tan 23.6 = 49 / c

c = 49 / tan 23.6

c = 112.158945248

**c = 12.16**

**sin 23.6 = opposite /hypotenuse**

sin 23.6 = 49 / d

d = 49 / sin 23.6

d = 49 / 0.40034903255

**d = 122.39**

learn more on right angle triangle: https://brainly.com/question/9445713?referrer=searchResults

Nicole is planting a rectangular garden in her backyard. She wants the length of the garden to be 5 yards. The area of the garden must be at most 30 square yards. (Nicole doesn't want to buy any more soil.) Write an inequality that describes the possible widths (in yards) of the garden.

### Answers

The **inequality** that best describes the width of the **garden** is

**Width** **≤ 6 yards**

**Area ≤ Length* Width**

Given data

Length = 5 yards

Width = ??

Area = 30 square yards

From the formula of the area of **rectangle** we have

**Area = Length * Width**

Let the width be x

**Substitute**

30 = 5 * x

30 = 5x

**Divide both sides by 5**

x = 30/5

x = 6 yards

Hence the with should be less than or equal to 6 **yards**

Learn more about **area** of **rectangle** here:

https://brainly.com/question/2607596

What is 60% of 45? help ASAP

### Answers

60 percent * 45 =

(60:100)* 45 =

(60* 45):100 =

2700:100 = 27

Liz estimated 228 + 7 to be between 30 and 40. Which basic

facts did she use to help her estimate? Mark all that apply.

A 20 + 5

B 21 - 7

© 28 + 7

D 30 + 5

### Answers

The **basic facts **she used to help her **estimate **are (c) 28 + 7 and (d) 30 + 5

What are estimates?

**Estimates **are **approximated calculations **that are used in place of an **actual calculation**

The **expression **is given as:

28 + 7

When the **numbers **are** approximated** to the** nearest 5**, we have:

30 + 5

Hence, the **basic facts **she used to help her **estimate **are (c) 28 + 7 and (d) 30 + 5

Read more about **estimations **at:

https://brainly.com/question/7068223

Can you please help me do this ?

### Answers

**Answer:**

5 hours

**Step-by-step explanation:**

Let's start by writing two ratios...

660:12

275:x

We can simplify the first ratio by dividing both numbers by 12...

55:1

275:x

Since 55 multiplied by 5 is 275 we multiply 1 by 5 to get...

x=**5 hours**

Draw graphs to solve the simultaneous equations.

y = x^2-9

Y + 3x = 1

### Answers

**Answer:**

**Step-by-step explanation:**

Clink on that link. and it will show you.

given that f(x)=12(3x+4)what is the value of (3)

### Answers

**Answer:**

f(3)= 156

**Step-by-step explanation:**

f(x)=12(3x+4)

f(x)=12(3(3)+4) =12(9+4) = 12(13) = 156

f(3)= 156

Let f(x) = x^2. Find f^−1(x).

### Answers

**Answer:**

Step 1

Substitute f of x with y.

f of x equals x squared. y equals x squared.

Step 2

Switch the x and y variables.

y equals x squared. x equals y squared.

Step 3

Solve for y.

x equals y squared. Square root x equals square root y squared. Don’t forget, when taking the square root of a number or variable, both positive and negative values must be taken into consideration. Plus and minus square root x equals y.

Step 4

Replace y with f inverse x.

Plus and minus square root x equals y. Plus and minus square root x equals f inverse x.

Step 5

Graph the inverse.

A graph of y equals plus and minus square root x. It is a left opening parabola with vertex at point 0 comma 0. If a vertical line were dragged across the graph, that line would cross the graph of y equals plus and minus square root x in more than one place. **Therefore, the equation is not a function.**

simplify the following expressions. 81 / (13-4)

### Answers

**Answer:**

9

**Step-by-step explanation:**

Following PEMDAS, we simplify the denominator which would be 9 (13-4).

We are then left with 81/9 which is 9.

Please answer the question given below:

### Answers

**Option A is false**

**Step-by-step explanation:**

Imagine that if a number decreases, their points get reduced and if they are said to be greater, their points increases. Using this theme in mind, let's find :-

As **q** > **p**,

**q** has +1 point.

**p**** **has 0 point.

**r**** **has unknown points.

**s**** **has unknown points.

Next, as **q**** **< **r****,**** **so**,**

**q**** **has 0 point.

**p**** **has 0 points.

**r**** **has +1 points.

**s**** **has unknown points

**Next****,**** ****s**** **> **q**** **, so,

**q**** **has 0 point.

**p**** **has 0 point.

**r**** **has +1 points

**s**** **has +1 points

**As**** ****per**** ****final**** ****results****,**** ****q**** ****has**** ****no**** ****points****,**** ****p**** ****has**** ****no**** ****points****,**** ****r**** ****has**** ****1**** ****point**** ****and**** ****s**** ****has**** ****one**** ****point****.**

** **** **** **** **** **** **** ****Based**** ****on**** ****question**** ****options****,**** ****the**** ****only**** ****option**** ****that**** ****isn't**** ****correct**** ****is**** ****OPTION**** ****A****.**

help, please the question and thank you

### Answers

**Answer:**

The first choice

**Step-by-step explanation:**

It is word for word what is in the question

(4 + - 2)2 - 6(2 - 10)

### Answers

(4-2)2 - 6(2-10)

(2)2 - 6(-8)

4 - -48

52

**Answer:**

[tex]\boxed{\boxed{\tt52}}[/tex]

**Step-by-step explanation:**

[tex]\tt (4 + (- 2))2 - 6(2 - 10)[/tex]

Let's follow the PEMDAS order of operations:

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

[tex]\boxed{\tt (4 + (- 2))2 - 6(2 - 10)}[/tex]

1) Calculate within the parentheses:

[tex]\tt 4+\left(-2\right)[/tex][tex]\tt 4-2[/tex][tex]\tt =2[/tex]

Calculate within the parentheses:-

[tex]\tt 2\times \:2-6\left(2-10\right)[/tex][tex]\tt 2-10[/tex][tex]\tt =-8[/tex][tex]\tt 2\times \:2-6\left(-8\right)[/tex]

2) Multiplication/Division:

[tex]\tt 2\times \:2[/tex][tex]\tt =4[/tex][tex]\tt 4-6\left(-8\right)[/tex]

Multiplication/Division:

[tex]\tt 6\left(-8\right)[/tex][tex]\tt -48[/tex]

3) Addition/Subtraction

[tex]\tt 4-\left(-48\right)[/tex][tex]\tt 4+48[/tex][tex]\tt 52[/tex]

_________________________

Mr. Jones has taken a survey of

college students and found that 1 out

of 3 students are liberal arts majors. If

a college has 7000 students, what is

the best estimate of the number of

students who are liberal arts majors?

ASAP yall

### Answers

About 2,333 students are liberal art majors :)

(1/2-6)-(1/6x-8) plz i need help for this test

### Answers

**Answer:**

The answer in simplified form is 2.5 - x/6.

**Step-by-step Solution:**

(1/2 - 6) - (1/6x - 8)

*Simplification:*

=> (1/2 - 12/2) - (1/6x - 16/2)

*Further Simplification:*

=> (-11/2) - x/6 + 16/2

*Further Simplification:*

=> **5/2 - x/6**

Hence, the answer in simplified form is 2.5 - x/6.

Hoped this helped.

How I can answer this question, NO LINKS, if you answer correctly I'll give u brainliest!

### Answers

**Answer:**

c

**Step-by-step explanation:**

► Play

Laila ran in a 10 kilometer race. About how many miles did run

### Answers

Answer:

Approximately 6.214 miles

Explanation:

I rounded it up to the thousandths.

1 mile is about 1.6 kilometer.

Hope this helps!!

Please give me brainliest if it is correct :)

I need to solve and find x. 4x+15<40

### Answers

**Answer:**

[tex]x<6.25[/tex] or [tex]x< 6 \frac{1}{4}[/tex]

**Step-by-step explanation:**

4x + 15 < 40

Subtract 15 from both sides

4x + 15 - 15 < 40 - 15

4x < 25

Divide both sides by 4

4x/4 < 25/4

x < 6.25

or

x < 6 1/4

Which triangle is similar to the given triangle?

### Answers

**Answer:**

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

**Step-by-step explanation:**

Lucas wants to tie a piece of string onto balloons for a party. He has string that is 22 1/2 inches long, and he'll cut it into three equal pieces. How long will each piece be? (this is due tmrw)

### Answers

**Answer:**

Each piece will be** 7 1/2** **inches** long.

**Step-by-step explanation:**

If the original length of the string is 22 1/2 inches long, simply divide the total length by 3 to get the length of each resulting equal piece.

*22.5 inches / 3 pieces = ***7.5 inches/piece**

**Answer:**

7.5 inches

**Step-by-step explanation:**

[tex]length \: of \: string = 22 \frac{1}{2} \: in \\ \\ = \frac{45}{2} \: in \\ \\ since \: he \: wants \: to \: cut \: thestring \: in \: three \: \\equal \: pieces \\ \\ \therefore \: length \: of \: each \: piece = \frac{45}{2} \div 3 \\ \\ = \frac{45}{2} \times \frac{1}{3} \\ \\ = \frac{15}{2} \\ \\ = 7.5 \: in[/tex]

56/15 as a decimal rounded to the nearest tenth

18/19 as a decimal rounded to the nearest hundreth

### Answers

**Answer:**

3.7 and 0.95

**Step-by-step explanation:**

take 56/15 as a decimal to get 3.7333

take the tenth place ( the seven ) and keep it the same since three is less than 5.

do the same with 18/19 except round the four up since 7 is larger than 5

pls help… grade 6/ primary 6 work. thanks!

### Answers

**Answer:**

320

**Step-by-step explanation:**

go backwards, 75 + 45 = 120

120 * 5/3 = 200

200+40 = 240

240 *4/3 = 320

21. Consider the geometric sequence-8, 16, -32, ... Which of the following statements

are true?

a. The common ratio is 2.

b. The 5th term of the sequence is -128.

C.

The 7th term is 4 times the 5th term.

d. The 8th term is 1024.

e. The 10th term is greater than the 9th term.

### Answers

**Answer:**

I know B is correct. I don't know about the others

6x-14=4x-4

pls help i need this quickly

### Answers

**Answer:**

x=5

**Step-by-step explanation:**

6x-14=4x-4

6x-4x =2x

2x-14=-4

-4+14= 10

2x=10

x=5

**Answer:**

[tex]\boxed{\sf{x=5}}[/tex]

**Step-by-step explanation:**

In order to solve this equation, you only need to isolate the term x.

Add 14 from both sides.

[tex]\sf{6x-14+14=4x-4+14}[/tex]

Solve.

6x=4x+10

Subtract by 4x from both sides.

[tex]\sf{6x-4x=4x+10-4x}[/tex]

Solve.

2x=10

Divide by 2 from both sides.

2x/2=10/2

Solve.

10/2=5

**x=5**

Therefore, the correct answer is x=5.

Divide.

Enter your answer, as a mixed number in simplest form, in the box.

### Answers

**Answer:**

**1 1/20**

**Step-by-step explanation:**

**Answer:**

1 1/20

**Step-by-step explanation:**

Convert any mixed number to fractions:

21/8 ÷ 5/2

Applying the fractions formula for division

=21×2

--------

8×5

Simplifying 42/40 the answer is =1 1/20

Please please help I need it I’ll give brainly

### Answers

**Answer:**

The answer is V = 57.17π cm³