1. Given ΔQRS (is congruent to) ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV. Provide a detailed response below, please. I was not provided with a picture, unfortunately.

Answers

Answer 1

Answer: Because ΔQRS is congruent to ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6

Work:
3v + 2 = 7v - 6
+6 +6
3v + 8=7v
-3v -3v
8 = 4v
4 4
2 = v

3(2) + 2 = GS
6+2 = GS
8 = GS

7(2) - 6 = TV
14-6=TV
8 = TV

Final Answer: 8=QS and 8=TV

Answer 2

Answer: So, we know the 2 triangles are congruent, that means that all complementary sides are congruent too. Draw out the triangle, make it look equal to each other, and put down the respective names down, IN ORDER, for both triangle. Then, you will see that QS and TV are complementary to each other, meaning they are congruent to each other. So, we can set their two equation equal to each other. Equation: 3v + 2 = 7v - 6. Now it's all algebra, solve for v, you should get 2. Now, we plug it back in for one of the equations (either one is fine because they are congruent to each other already), you should get 8 as your answer. I hope this helps!

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The target above can be describes as

ten brothers receive 100 gold coins between them . Each brother receives a constant number more than the next oldest . The seventh oldest brother receives 7 gold coins . How much does each brother receive ? Show all your calculations

Answers

let's set 'a' as the coins the first brother recieves (the youngest) and for every older brother, we will add 'x' (the constant number)
Since we know the sum has to be equal to 100, our equation is:
100=a+(a+x)+(a+2x)+(a+3x)+...+(a+8x)+(a+9x)

the 7th oldest brother is the 3rd youngest, therefore, if we look at our equation, he gets (a+2x) - we know now that 7=a+2x

We can now simplify the first equation by summing up our 'x' and 'a'
we get: 100=10a+45x

In order to resolve the equation (since we have 2 variables), we can use the subtraction method

100=10a+45x
-10(7=a+2x)

100=10a+45x
-(70=10a+20x)

30=25x
1.2 = x

and for 'a' -> 7 = a +2(1.2)
a=4.6

Therefore, the youngest gets 4.6 coins (a), the second 5.8 (a+x) ...

Final answer:

The question involves arithmetic sequences. The first brother gets 5.5 gold coins with subsequent brothers getting 1 more coin than the brother before them. This gradually increases to the tenth brother who gets 14.5 gold coins.

Explanation:

This problem involves the concept of arithmetic sequences where each term is a constant amount different from the previous term. Given the seventh oldest brother receives 7 gold coins, we can denote the amount of money the first brother gets as x. The increment in each sequential brother's amount is then 1.

Firstly, denote the amount of money the first brother gets as x. Since each subsequent brother gets 1 more gold coin, we can denote the amount the other brothers receive as follows: x, x+1, x+2, ..., x+6 (for the seventh brother), ..., x+9 (for the tenth brother).

As the problem states that the total gold the brothers receive is 100, you would set up the equation: 10x + 45 = 100, where 45 is the sum of the increments from 1 to 9. Solving this equation for x, we get x=5.5. This means the first brother received 5.5 gold coins and each subsequent brother received 1 more than his immediate predecessor.

Learn more about Arithmetic Sequences here:

brainly.com/question/32830972

#SPJ3

Find the values of x and y if

Answers

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, then

CA = NE , that is

4x + 3 = 11 ( subtract 3 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

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

AR = EW, that is

4y - 12 = 10 ( add 12 to both sides )

4y = 22 ( divide both sides by 4 )

y = 5.5

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

NW = x + y = 2 + 5.5 = 7.5

CR = NW = 7.5

A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams.Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

Answers

Answer:

Step-by-step explanation:

Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.

Carrie rolls 2 fair dice and adds the results from each.Work out the probability of getting a total more than 9.

Answers

Answer:

it is a 1 in 4 chance

Step-by-step explanation:

8 is the out come with more than 9 and 36 is the total number of out comes

Use a model or paper and pencil to add. Write your answer in simplest form.

9/12 + 6/12

Answers

We know that 9 cows + 6 cows add up to 15 cows,
   and 9 trees + 6 trees add up to 15 trees,
   and 9 cars + 6 cars add up to 15 cars,

so we're pretty sure that

   9 twelfths + 6 twelfths add up to 15 twelfths.

   9/12 + 6/12 = 15/12

It wants us to simplify the answer, so
we can divide top and bottom by 3 :

   15/12 = 5/4 = 1 and 1/4 .

9/12 + 6/12 = 15/12 = 1 3/12 = 1 1/4

fifteen percent of the 20 players on the soccer team are new this year how many players on the team are new this year

Answers

15% of 20 is 3. So 3 players are new this year.

:)

Answer:

Its 3

Step-by-step explanation:

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