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3 years ago

I'm a little bit confused about how to approach this can someone help?

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.

Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

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The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among

Lapatulllka [165]

Answer- b

Step-by-step explanation:

its b

4 0

3 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

3 years ago

Is s = –4 a solution to the inequality to<br><br> –2 ≥ s

slava [35]

Answer:

Yes, $s = -4$ is a solution to $- 2 \geqslant s$

This is because $- 2 > - 4$ .

6 0

3 years ago

Arithmetic of Functions problem.

lidiya [134]

Answer:

(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x²-5

(f o g)(4)=?

(f o g)(4) = f(g(4))

Calculating g(4):

x=4→g(4)=4²-5

g(4)=16-5

g(4)=11

Replacing g(4)=11

(f o g)(4) = f(g(4))

(f o g)(4) = f(11)

Calculating f(11)

x=11→f(11)=4(11)+1

f(11)=44+1

f(11)=45

Replacing f(11)=45:

(f o g)(4) = f(11)

(f o g)(4) = 45

4 0

3 years ago

Read 2 more answers

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total rece

olganol [36]

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type

Number

Value ($)

Total Value ($)

Student

Adult

506

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was

less than three times the number of student tickets sold.

Let

be the number of student tickets.

Then

−

is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type

Number

Value ($)

Total Value ($)

Student

Adult

−

(

−

)

506

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

(

−

)

1506

Step 5. Solve the equation.

−

1506

−

1506

1551

students

Substitute to find the number of adults.

−

number of adults

(

)

−

136

adults

Step 6. Check. There were

student tickets at

each and

136

adult tickets at

each. Is the total value

$1506

We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

⋅

282

136

⋅

1224

_____

1506

✓

Step 7. Answer the question. They sold

student tickets and

136

adult tickets.

5 0

3 years ago