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AnnyKZ [126]
3 years ago
15

Angle B and angle C are complementary. If angle B is five times the size of angle C what is the measurements of both angles.

Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Step-by-step explanation:

Let Angle C be x

So angle B will be 5x

Since they both are complementary, we can come up with this equation.

x+5x=90 degrees

6x=90 degrees

x=90/6,x=15

Measures of Angles

Angle C=x=15 degrees

Angle B=5x=5*15=75 degrees

PLEASE FOLLOW ME AND MARK AS BRAINILIEST

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DochEvi [55]

Answer:

Step-by-step explanation:

The initial price of the swimsuit that Karla purchased at Amazon was 75.5

she use the coupon code to receive a 25% discount. This means that the value if the discount would be

25/100 × 75.5 = 0.25× 75.5 = 18.86

Therefore, the discounted price of the swimsuit is 75.5 - 18.875 = 56.625

The website applied a 10% service fee for the discount price. This means that the value of the service fee would be

10/100 × 56.625 = 0.1 × 56.625 = 5.6625.

The amount that Karla pays for the swimsuit would be

56.625 + 5.6625 = 62.2875

The difference between the original price and the price that Karla paid would be 75.5 - 62.2875 = 13.2125

The percentage by which the amount that Karla paid was lesser than the original price would be

13.2125/ 75.5 × 100 = 17.5%

8 0
3 years ago
Identify the y intercept and asymptote of the graph of the exponential function. y=3^x
nalin [4]
Y intercept is (0,1)
horizontal asymptote

8 0
3 years ago
The difference of two number is 28. if one number is 11, find the other number
Leno4ka [110]

Answer:

39

Step-by-step explanation:

difference=28

other number=11

so:

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7 0
3 years ago
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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

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The equivalent equation is d=17+12.5
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