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Lisa [10]
3 years ago
13

Find the value of x in each Figure. Please help, thank you!!

Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

#5  39 = x

Sides:

x - 15

2x

2x

Total of sides = 180

180 = (x-15) + 2x + 2x

180 = x - 15 + 4x  

180 = -15 + 5x     (add 15 to each side to remove -15)

195 = 5x     (divide by 5 on each side to get x)

39 = x

#7  24 = x

Sides:

2x - 4

3x + 5  

2x + 11

Total of sides = 180

180 = (2x - 4) + (3x + 5) + (2x + 11)

180 = 2x - 4 + 3x + 5 + 2x + 11

180 = 7x + 12      (subtract 12 to each side to remove 12)

168 = 7x      (divide by 7 on each side to get x)

24 = x

#8  37 = x

Sides:

x

x + 4

3x - 9

Total of sides = 180

180 = (x) + (x + 4) + (3x - 9)

180 = x + x + 4 + 3x - 9

180 = 5x - 5      (add 5 to each side to remove -5)  

185 = 5x      (divide by 5 on each side to get x)

37 = x

Step-by-step explanation:

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Given a required reserve ratio of 10 percent for all banks, total bank reserves of $400 billion could support maximum deposits o
serious [3.7K]

Answer:

The maximum deposit is $4,000 billion.

Step-by-step explanation:

Consider the provided information.

It is given that the required reserve ratio of 10 percent for all banks.

It is given that total bank reserves of $400 billion.

Let the maximum deposit is x.

Therefore, 10% of x = $400 billion

\frac{10}{100}\times x=\$400\text{ billion}

x=\frac{100}{10}\times \$400\text{ billion}

x=10\times \$400\text{ billion}

x=\$4000\text{ billion}

Hence, the maximum deposit is $4,000 billion.

8 0
3 years ago
For z = –3 – 5i, which graph shows z and the product of z · i?
earnstyle [38]

Answer:

A

Step-by-step explanation:

z = -3 - 5i

z (i) = i (-3 - 5 i)

z (i) = -3i - 5i^2

z (i) = -3i - 5 (-1)

z (i) = -3i + 5

z (i) = 5 - 3i

Therefore, letter A is the correct answer.

3 0
2 years ago
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +
7nadin3 [17]

In Step 6, the equation is ...

  -12 = x - 36

In step 7, the equation is ...

  -12 +36 = x -36 +36

Clearly, to get to step 7, 36 has been added to both sides of the equation.

Adding 36 to both sides of the equation is justified by ...

... C) Addition Property of Equality

_____

<em>More about the addition property of equality</em>

The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.

7 0
3 years ago
Find the missing Angles
oksian1 [2.3K]

1. a = 68

b = 112

c = 68

2. a = 127

3. a = 35

b = 40

c = 35

d = 70

4. a = 20

b = 70

c = 20

d = 70

e = 110

5. a = 90

b = 90

c = 42

d = 48

e = 132

6. a = 70

b = 55

c = 25

4 0
2 years ago
Tony gets paid $5 per hour to babysit his cousin. This
Kaylis [27]

<em>Answer:</em>

a

<em>Step-by-step explanation:</em>

lets substitute 5 into every equation. (using 5 every time won't work every time ofc)

ok so 5(x+6)=55 would simplify into <em>5x+30=55</em> which in this case would be <em>5(5)+30=55 </em>

and 25 plus 30 (obviously) = 55

so A is the right answer

8 0
2 years ago
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