Triangle DEF is a scale drawing of triangle ABC.
What is the scale factor?

Answer:

[tex]18[/tex].

Step-by-step explanation:

Start by considering the two "[tex]\verb!P![/tex]"'s as being different from one another. That way, all five letters in this word would be distinct. With this assumption, the number of arrangements would be [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] times that of the actual value.

Start by fixing the first and the last letter since they come with special requirements.

There are [tex]2[/tex] choices for the first letter (the vowel: [tex]\verb!A![/tex] and [tex]\verb!E![/tex].)

Under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex]3[/tex] choices for the last letter ([tex]\verb!L![/tex] and the two

After choosing the first and the last letters, there would be [tex](5 - 1 - 1) = 3[/tex] choices for the second letter, [tex](3 - 1) = 2[/tex] choices for the third, and [tex](2 - 1) = 1[/tex] for the fourth.

Thus, under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex](2 \times 3) \times (3 \times 2 \times 1) = 36[/tex] ways to choose the new word. Since this assumption doubles the number of arrangements, dividing the [tex]36[/tex] by [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] would give the actual number of arrangements:

[tex]\begin{aligned}\frac{36}{\genfrac{(}{)}{0}{}{2}{1}} = \frac{36}{2} = 18\end{aligned}[/tex].

[tex]\begin{aligned}& 1 && \verb!APPEL!\\& 2 && \verb!APLEP!\\& 3 && \verb!APEPL!\\& 4 && \verb!APELP!\\& 5 && \verb!ALPEP!\\& 6 && \verb!ALEPP!\\& 7 && \verb!AEPPL!\\& 8 && \verb!AEPLP!\\& 9 && \verb!AELPP!\\& 10 && \verb!EAPPL!\\& 11 && \verb!EAPLP!\\& 12 && \verb!EALPP!\\& 13 && \verb!EPAPL!\\& 14 && \verb!EPALP!\\& 15 && \verb!EPPAL!\\& 16 && \verb!EPLAP!\\& 17 && \verb!ELAPP!\\& 18 && \verb!ELPAP!\end{aligned}[/tex].

answer:

32 dimes and 14 quarters

step by step:

32 x 10 = 320

14 x 25 = 350

320 + 350 = 670

670¢ =  6.70$

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2

Answer:

x=-1

y=-3

Step-by-step explanation:

3x-2y=3(1)

5.(1) <=> 15x-10y=15 (2)

15x-4y=-3 (3)

(2)-(3) <=> -6y=18

Given,

1 inch = 2 feet

3 inches = ? feet

3 inches = (2 × 3) feet

3 inches = 6 feet

=》3 inches in the scale drawing is 2 feet in real life.

_______

Hope it helps ⚜

Gustavo used 8 round tables and 6 rectangular tables.

Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:

Therefore, Gustavo used 8 round tables and 6 rectangular tables.

Learn more in https://brainly.com/question/25443927

Answer:

[tex]f'(4)=16[/tex]

Step-by-step explanation:

First, we need to find the derivative:

[tex]f'(x)=(2)(2)x^(^2^-^1^)-0[/tex]

[tex]f'(x)=4x[/tex]

Now, we need to plug in 4 for x:

[tex]f'(4)=(4)(4)=16[/tex]

Answer:

6.5

Step-by-step explanation:

bc I just no plus or it's 5

9514 1404 393

Answer:

  6. see attached

  7. (a, b) = (-2, 3)

  8. equation has issues

Step-by-step explanation:

6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...

  A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms

The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)

__

7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.

element 11: 5 = b +2   ⇒   b = 3

element 21: a = 2 +2a   ⇒   a = -2   (add -a-2 to both sides to get this)

__

8.  There are issues with this equation. It is incomplete and inconsistent.

element 11: p = p+4   ⇒   no solution

element 21: r = 0 +(2r  s)   ⇔   missing math symbol; problem is incomplete

element 12: q = 6 + (p +q)   ⇒   p = -6; q = anything

element 22: s = 2s +2   ⇒   s = -2   (add -s-2 to both sides)

_____

Additional comment

When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.

If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.

Answer:

A= 5

B= 0

C= 50

D= -5

Step-by-step explanation:

Just did it on EDGE

Answer:

0

Step-by-step explanation:

There is no gradient there.

Answer:

No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Step-by-step explanation:

The number of decimal places in the product is the sum of the numbers of decimal places in the factors.

1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.

2. 1 + 1 = 2 decimal places in the product

3. 2 + 2 = 4 decimal places in the product

4. 1 + 1 = 2 decimal places in the product

_____

Additional comment

If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.

Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.

Answer:

4.725

2.473.6

3.370.414

5.312.08

Step-by-step explanation:

Answer:

Volume is 21

Explanation

Base length is 4.5

Widgth is 3.5

and height is 4 (I can't tell if its 2 because picture is blurry)

V=lwh/3=4.5·3.5·4= 21

Answer:

6, 8, and 10 cm

Step-by-step explanation:

3+4+5=12

24/12=2

2*3=6

2*4=8

2*5=10

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

Answer:

A part of a wall that Melinda paints in 1 minute is: x = 1/80

Answer:

if the units is in m/s

Step-by-step explanation:

first work out using this triangle.

distance= speed x by time

so if we're trying to find out the speed we reaarange the triangle to :

   distance

---------------------

speed x   time

so speed = distance divided by time

distance = 45cm

divided by time = 90 seconds

But the units are cm and should be metres per second

change 45cm to m

that is 45cm = 45/ 100 = 0.45

0.45/ 90= 0.005cm

answer = 0.005 metres per second( m/s)

plz say thanks + rate !

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

Answer:

Step-by-step explanation:

The square root of 93 is approximately 9.64.

Answer:

Step-by-step explanation:

We need to estimate √93.

Use formula below:

or

In the given case the formula works as:

or

Answers:

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

Explanation:

The diagram is below.

Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.

The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.

This means we have this pairing:

Because the triangles are congruent, we know that:

So if we could find out angle B, then we automatically will find out angle E as well.

Use the idea that for any triangle, the angles always add to 180

A+B+C = 180

34+B+124 = 180

B+158 = 180

B = 180-158

B = 22

Angle B is 22 degrees, and so is angle E.

----------------------

Everything in the previous section handled how to find angle E.

In this section, we'll find how long side DE is.

Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs

The pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.

Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.

we have 9x - 7 ≤ 28 + 4x

⇔9x - 4x ≤ 28 +7

⇔5x ≤ 35

⇔x ≤ 7

ok done. Thank to me :>

Answer:3

4

+

4

(

y

3

)

.

3

4

+

4

(

y

3

)

=

4

y

3

+

3

4

y

=

11

22

=

=

1

2

Step-by-step explanation: :)

Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

Answer:

Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.

Step-by-step explanation:

Hope This Helps!!!

Answer:

the slope is

2/3x+2

Hope This Helps!!!

Answer:

3.07

Step-by-step explanation:

This is a multiple-step equation

1) Multiply together the costs of the ice cream

2) Multiply the cost of the movie

3) divide them into 5 ( five friends)

4) add those together then you have your answer

Answer:

d

Step-by-step explanation:

po ang tamang sagon po