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3 years ago

HELP ME PLEASEEE Write an equation and solve for the missing value. Show your work

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer:

1. x = 23

2. y = 14

3. n = 17.5

4. x = 12

5. n = 11

Step-by-step explanation:

Complementary angles are equal to 90°

Vertical angles are congruent, which means they are equal to each other.

Supplementary angles are equal to 180°

2x - 3 + 47 = 90

Step 1: Combine like terms (-3 + 47)

2x - 3 + 47 = 90

2x + 44 = 90

Step 2: Subtract 44 from both sides

2x + 44 - 44 = 90 - 44

2x = 46

Step 3: Divide by 2 on both sides

2x/2 = 46/2

Step 4: Simplify

x = 23

5y + 12 = 82

Step 1: Subtract 12 from both sides

5y + 12 - 12 = 82 - 12

5y = 70

Step 2: Divide by 5 on both sides

5y/5 = 70/5

Step 3: Simplify

y = 14

4n - 5 + 115 = 180

Step 1: Combine like terms (-5 + 115)

4n -5 + 115 = 180

4n + 110 = 180

Step 2: Subtract 110 from both sides

4n + 110 - 110 = 180 - 110

4n = 70

Step 3: Divide by 4 on both sides

4n/n = 70/4

Step 4: Simplify

n = 17.5

Since m∠XYZ = 110°

3x + 2 + 72 = 110

Step 1: Combine like terms (2 + 72)

3x + 2 + 72 = 110

3x + 74 = 110

Step 2: Subtract 74 from both sides

3x + 74 - 74 = 110 - 74

3x = 36

Step 3: Divide by 3 on both sides

3x/3 = 36/3

Step 4: Simplify

x = 12

5n + 35 = 90

Step 1: Subtract 35 from both sides

5n + 35 - 35 = 90 - 35

5n = 55

Step 2: Divide by 5 on both sides

5n/5 = 55/5

Step 3: Simplify

n = 11

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How are percents greater than 100% used in real world contexts

docker41 [41]

Answer:

Think of investments. If you were to invest $100 into a company and receive $200 dollars, then you would have made $100 in profit, which is 100% of your initial amount. So, if you were to invest $100 and receive $250 dollars in profit, then you would have made an extra $150, which is even more than your initial amount of $100. In this case, you would have made a 150% increase on your money.

(I deserve to be the brainliest )

3 0

3 years ago

Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are

user100 [1]

The given sequence is
a₁, a₂, ..., $a_{n}$

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
$a_{n}=a_{1}+(n-1)d$
where
d = the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
$S_{n}= \frac{n}{2} (a_{1}+a_{n})$

Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is
$a_{n}=1+2(n-1)$

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100

8 0

3 years ago

if Paula wants the tops of the latter to reach exactly 8 feet up the building, what is x, the distance between the building and

cluponka [151]

Answer:

6 ft

Step-by-step explanation:

Since the distance between the bottom of the ladder and the wall forms a right angle that is across from the ladder, you can use the Pythagorean Theorem to solve for the value of 'x':

a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the diagonal or hypotenuse.

Using 8 for 'a' and 10 for 'c':

8² + x² = 10²

64 + x² = 100

Subtract 64 from both sides:

64 - 64 + x² = 100 - 64 or x² = 36

Take the square root of both sides:

√x² = √36

x = 6 ft

5 0

4 years ago

At a grocery store,39 out of 60 customers use a shopping cart. What percent of the customers use a shopping cart?

Savatey [412]

Answer:

39 is 65% of 60

65% use a shopping cart.

5 0

3 years ago

Please help, I need this quickly. Fairly easy, help pleasee

ahrayia [7]

-4x-3y-9=0
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_|_ m2 = -1/m1= 3/4

2x+4y-3=0
|| m1= -2/4= -1/2
_|_ m2= 2

12x-y-17=0
|| m1= -12/-1=12
_|_ m2 = -1/12

x-y=0
|| m1= -1/-1=1
_|_ m2= -1

8x - 3y - 2=0
|| m1= -8/-3= 8/3
_|_ m2 = -3/8

-2x + y - 5=0
|| m1= -(-2)/1=2
_|_ m2= -1/2

3 0

4 years ago