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inysia [295]
3 years ago
10

I'm not sure how to do this someone please help thanks so much in advance :)

Mathematics
1 answer:
Dominik [7]3 years ago
4 0
Use 45-45-90 triangle to find the hypotenuse of the dotted triangle which is one of the sides of the shaded one. Use 30-60-90 triangle to find the hypotenuse of the large triangle including the dotted and shaded one. You now have 2 sides down. To find bottom length, find base length of big triangle still using 30-60-90 triangle and find base length of small dotted triangle using 45-45-90 subtract small from big. add together sides and u have it
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I just need to check if the answer I got is right cause I’m not sure. (7th grade)
zubka84 [21]

Answer:

48 ft.

Step-by-step explanation:

Since triangles ABC and DEC are similar (you can prove this quite easily), then we know the ratio of the sides are equal. This is a property of similar triangles. So we take the ratio of the sides CE and DE and the ratios of the sidesBC and AB.

We get:

\frac{x}{40} = \frac{60}{50} \Rightarrow x = \frac{6}{5}\times 40 = 48.

So x is 48 ft.

3 0
3 years ago
Question 13 of 20 :
Mekhanik [1.2K]

Answer: C. 3, 11, 23, 31

Step-by-step explanation:

None of these can be divided by anything except themselves and 1.

7 0
3 years ago
5x³ +9x² -13x -2 describe the end behavior of each function​
Elodia [21]

Answer: OWA OWA

Step-by-step explanation:

8 0
4 years ago
What is the 31st term of the arithmetic sequence for 1.77, 1.92,2.07
natita [175]

Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.

Using that we have to find 31st term.

To find that we can use nth term formula of arithmetic sequence which is given by:

t_n=a_1+(n-1)d

where n is the number of term so n=31

t_n indicates nth term

a_1 is the first term so a_1=1.77

r is the common difference which is given by difference of consecutive terms

then r=1.92-1.77=0.15

Now plug these values into above formula


t_n=a_1+(n-1)d

t_{31}=1.77+(31-1)*0.15

t_{31}=1.77+(30)*0.15

t_{31}=1.77+4.5

t_{31}=6.27


Hence final answer is 6.27.

8 0
4 years ago
Lance bought 12 quarts of lemonade so that everyone who came to his party could have exactly 1/3 quart. How many people did Lanc
igor_vitrenko [27]

Lance invited 36 people to his party.

<u>Step-by-step explanation:</u>

It is given that,

  • Lance bought 12 quarts of lemonade.
  • Everyone who came to his party could have exactly 1/3 quart.

We know that,

The total quarts of lemonade available for the party = 12

Each person in the party consumes = 1/3 quart.

We need to find out how many people did Lance invited to his party.

<u>To find the number of people :</u>

Let us consider 'x' be the number of people invited to the party.

Total lemonade = number of people × lemonade for each person.

⇒ 12 = x × 1/3

⇒ 12×3 = x

⇒ x = 36 people

Therefore, Lance invited 36 people to his party.

6 0
3 years ago
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