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Anarel [89]
2 years ago
5

Pleaseeeeee show the work

Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Answer:

I got x=10

Step-by-step explanation:

Step 1

Everything must add up to 180

180= 6x - 6 + 7x + 1 +55

Step 2

Combine everything

6x + 7x = 13x

-6 + 1 +55 =50

180 = 13x + 50

Step 4

Subtract. 180 -50

130 = 13x

Step 5

Divide 130/13

X=10

6(10) -6 = 54

7(10) + 1=71

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Answer:

20% of 120,000 is 24,000 so 120,000-24,000 is 96,000

Now if she pays 7.46 for every 1000 she will have to repay 716.16 over 20 years.

Step-by-step explanation:


5 0
3 years ago
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For the right triangles below, find the exact values of the side lengths b and d.
Ivanshal [37]

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

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7 0
2 years ago
Why is it valid to say that both a function and its inverse describe the same relationship
liberstina [14]
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Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse. 

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x. 

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4 0
3 years ago
A b c or d please hurry thanks!
otez555 [7]

Answer:

C)  a = 10√3, b = 5√3, c = 15 , d = 5

Step-by-step explanation:

Here we use the ratio of 30, 60, 90 degree triangle.

The ratio of sides, 1:√3:2

2x = 10

x = 5

d = 5

b = 5√3

c = 5√3√3

c = 5*3 = 15

c = 15

a = 2(5√3)

a = 10√3

Therefore, a = 10√3, b = 5√3, c = 15 and d = 5

Thank you.

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