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ruslelena [56]
3 years ago
7

Find the value of x. * 7x-1 + 6x-1 = 180

Mathematics
2 answers:
Len [333]3 years ago
6 0
I believe the answer is x=14
GREYUIT [131]3 years ago
3 0

answer:

<em>x  = 14</em>

explanation:

7x - 1 + 6x - 1 = 180

( group like terms )

7x + 6x - 1 - 1 = 180

( add like terms: 7x + 6x = 13x )

13x - 1 - 1 = 180

( subtract whole numbers: -1 - 1 = -2 )

13x - 2 = 180

( add 2 to both sides )

13x - 2 + 2 = 180 + 2

( simplify )

13x = 182

( divide both sides by 13 )

13x / 13 = 182 / 13

( simplify )

<em>x  = 14</em>

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rewona [7]
X = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5

Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5

Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5

Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
3 0
3 years ago
if you deposit $860 in a new account that earns 6.5% simple interest. After 6 months, how much interest will you have learned?
pishuonlain [190]
860*0.0325 = 27 dollars and 95 cents 

8 0
3 years ago
Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state
grigory [225]
$1,365 is the answer, (the third choice)
3 0
3 years ago
3. An electric bill is an essential expense for young people who get their first
Dmitrij [34]

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64

6 0
3 years ago
Evaluate functions help<br><br> !easy please help fast!
yarga [219]

Answer:

70

Step-by-step explanation:

6 0
3 years ago
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