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Anna007 [38]
3 years ago
6

Challenge #1

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer: See step by step

Step-by-step explanation: There are multiple ways with  dealing with this problems.  But since  Angle A is on the exterior let limit it to just 3.

Theorem #1: A transversal crossing two parallel lines make alternate exterior angles congruent.

You can also use the vertical angles theorem, Angles that share same vertex has same degree measure therefore, congruent

And theorem #3: A transvesal crossing two parallel lines make corresponding or same side angles congruent.

So you can put the black pont two places down from angle a on the left side, the last and lowest angle on the right side, or diagonally across angle a which is on the right side.

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Jerry had k pencils. darcy and leonard then gave jerry an additional x pencils each. which expression could represent the number
Rashid [163]

Answer:

k+(x×x)

Step-by-step explanation:

k is the number of pencils jerry has, and x is the number of pencils darcy and leonard gave him EACH. So you need to multiply 'x' x2 to get the total ammount of pencils they gave him, then add 'k' to know how much in total he has now.

hope it helped! (3

6 0
3 years ago
Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song. The Superstar music c
Mumz [18]

Answer:

1st choice Music Equation: \$(x+5)

Superstar Music Club Equation: \$3.50x

Solution: 2

Step-by-step explanation:

Given that:

1st choice music club:

Charges for one song = $1

Charges for sign - up = $5

Let the number of songs = x

Total cost = \$5+\$1\times x = \$(x+5)

Superstar music club:

No sign up fee and

Charges for one song = $3.50

Total cost = \$3.50x

Given that, cost of each music club becomes equal:

Putting them same:

x+5=3.5x\\\Rightarrow 2.5x = 5\\\Rightarrow \bold{x =2}

After 2 songs, the cost of both the clubs will become equal.

5 0
3 years ago
Maria correctly answered 16 of the 20 questions. What fraction of the questions did she answer correctly?
densk [106]
16/20
Simplified to 8/10
Again simplified to 4/5.
3 0
3 years ago
There are 45 new houses being built in a neighborhood. Last month, 2/3 of them were sold. This month 2/5, of the remaining house
solmaris [256]

Answer: 9 houses

Step-by-step explanation:

Step 1:

Since 2/3 of the houses were sold last month, 1/3 of them were left.

45 * 1/3 = 15 houses left last month

Step 2:

Since 2/5 of the remaining houses were sold this month, 3/5 of them were left

15 * 3/5 = 9 houses left to be sold

there's your answer hope this helps :)

5 0
2 years ago
the length of a new rectangle playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle plaing
Vika [28.1K]

The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The length of a new rectangle playing field is 6 yards longer than quadruple the width.

Let's suppose the length is l and width is w of a rectangle:

From the problem:

l = 6 + 4w

Perimeter P = 2(l + w)

532 = 2(l + w)

Plug l = 6+4w in the above equation:

532 = 2(6 + 4w + w)

266 = 6 + 5w

260 = 5w

w = 52 yards

l = 6 +4(52) = 214 yards

Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

Learn more about the area of rectangle here:

brainly.com/question/15019502

#SPJ1

5 0
2 years ago
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