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german
2 years ago
15

ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 1 : 10. If the longest side of ΔDEF meas

ures 40 units, what is the length of the longest side of ΔABC ? A. 2 units B. 4 units C. 16 units D. 30 units
Mathematics
2 answers:
polet [3.4K]2 years ago
6 0

Answer:

1.   Determine the perimeter of ΔDEF.  

Step-by-step explanation:

Gala2k [10]2 years ago
4 0
The problem ask to find the longest side of the triangle ABC if the longest side of triangle DEF measures 40 units and the best answer among the choices is letter B. 4 units. I hope you are satisfied with my answer and feel free to ask for more .
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HELLPPPP YALLLLLLLLK ASAPPPPP
Genrish500 [490]

4) Let the number be : N

Given : 10% of this number is 25

\sf{\implies 10\% \ of \ N = 25}

\sf{\implies \dfrac{10}{100} \times N = 25}

\sf{\implies \dfrac{N}{10} = 25}

\sf{\implies N = 250}

Now we need to find 60% of 250

\sf{\implies \dfrac{60}{100} \times 250}

\sf{\implies 6 \times 25}

\sf{\implies 150}

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

\sf{\implies \dfrac{75}{100} \times 80}

\sf{\implies 15 \times 4}

\sf{\implies 60}

Now let us find 40% of 30

\sf{\implies \dfrac{40}{100} \times 30}

\sf{\implies 12}

Now, (60 - 12) = 48

<u>Answer:</u> 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

<u>Answer:</u> The Boy arrives at 0825

6 0
2 years ago
Which graph shows y &lt; x² +1?<br> O<br> 4) Intro<br> •
Ket [755]

The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.

<h3>How to graph an inequality?</h3>

The steps to graph an inequality equation are:

  • Solve for the variable y in the given equation
  • Graph the boundary line for the inequality
  • Shade the region that satisfies the inequality.

<h3>Calculation:</h3>

The given inequality is y < x² + 1

Finding points to graph the boundary line by taking y = x² + 1:

When x = -2,

y = (-2)² + 1 = 4 + 1 = 5

⇒ (-2, 5)

When x = -1,

y = (-1)² + 1 = 2

⇒ (-1, 2)

When x = 0,

y = (0)² + 1 = 1

⇒ (0, 1)

When x = 1,

y = (1)² + 1 = 2

⇒ (1, 2)

When x = 2,

y = (2)² + 1 = 5

⇒ (2, 5)

Plotting these points in the graph forms an upward-facing parabola.

So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.

From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".

Learn more about graphing inequalities here:

brainly.com/question/371134

#SPJ1

5 0
2 years ago
Read 2 more answers
The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
Alexxx [7]

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

8 0
3 years ago
1. Solve for x: x/12 + 15 = 648
Vesnalui [34]

Answer:

1. x = 7596

2. x = -6.25

3. x = 8.5  

hope this helps:)

6 0
2 years ago
A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blu
Sonbull [250]

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

3 0
2 years ago
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