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3 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics

1 answer:

Genrish500 [490]3 years ago

7 0

Answer:

x = 33

Step-by-step explanation:

Two angles are complementary as the sum of two angles is 90

x + 24 + x = 90 {Combine like terms}

2x + 24 = 90 {Subtract 24 from both sides}

2x = 90 - 24

2x = 66

x = 66/2

x = 33

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James opened a savings account with $425. After 2 years, the total interest he earned was $10.20. What was the annual interest r

SashulF [63]

Answer:

She has saved $1000 land wants to open an account at the bank so where she earns a simple interest rate of 10/%. If she does ... t years,. • Pis the principal amount (the amount borrowed or invested) ... If he waits 2 years? or 3 years to pay back ... annually. How much money will Jack have after 1 year? 2 years? 5 years? 10

Step-by-step explanation:

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3 years ago

Question 6 of 12 ✓ 49 A. 8 O O B. 14 C. 7 SUBMIT

amm1812

Answer:

C. 7

Step-by-step explanation:

7 · 7 = 49

I hope this helps!

3 0

3 years ago

I need help please somebody answer ASAP please I’d highly appreciate it

ss7ja [257]

Answer:

2.(b) w= 3

3. x= -3 or x= 3

Step-by-step explanation:

2.(b) Method 1:

$\frac{2w - 1}{5} + w + 2 = 2w \\ \frac{2w - 1}{5} = 2w - w - 2 \\$

Simplify:

$\frac{2w - 1}{5} = w - 2$

×5 on both sides:

$2w - 1 = 5(w - 2)$

Expand:

$2w - 1 = 5w - 10$

Bring constants to 1 side, w terms to the other:

$5w - 2w = 10 - 1$

Simplify:

$3w = 9$

Divide both sides by 3:

$w = 9 \div 3 \\ w = 3$

Method 2:

$\frac{2w - 1}{5} + w + 2 = 2w$

Multiply by 5 throughout:

$2w - 1 + 5(w + 2) = 5(2w)$

Expand:

$2w - 1 + 5w + 10 = 4w$

Simplify:

$7w - 9 = 4w$

+9 on both sides:

$7w = 4w + 9$

-4w on both sides:

$7w - 4w = 9$

Simplify:

$3w = 9$

Divide by 3 on both sides:

$w = 3$

3. $\frac{6x - 12}{3} + 4 = \frac{18}{x}$

Multiply by 3x on both sides:

$\frac{3x(6x - 12)}{3} + 3x(4) = \frac{3x(18)}{x} \\ x(6x - 12) + 12x = 3(18)$

Expand:

$x(6x) - x(12) + 12x = 54 \\ 6x^{2} - 12x + 12x = 54 \\$

Simplify:

$6 {x}^{2} = 54$

Divide by 6 on both sides:

${x}^{2} = 9$

-9 on both sides:

${x}^{2} - 9 = 0$

Factorise:

*Since a²-b²= (a +b)(a -b),

${x}^{2} - {3}^{2} = 0 \\ (x + 3)(x - 3) = 0$

Thus,

x +3= 0 or x -3= 0

x= -3 or x= 3

8 0

3 years ago

Read 2 more answers

Tanks the question below

zhannawk [14.2K]

Answer:

Option A

Step-by-step explanation:

Your choice is correct, this is A

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3 years ago

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A three-digit number has tens digit two greater than the units digit and the hundreds digit one greater than the tens digit. The

Paha777 [63]

Answer:

875

Step-by-step explanation:

As given, there is a three digit number

So, let assume three digit number be `xyz`.

Now, as given tens digit is 2 greater than the unit digit.

∴ $y= 2+z$

Next, the hundred digit one greater than the tens digit.

∴ $x= 1+y$

The sum of the tens and the hundreds digits is three times the units digit.

∴ $x+y= 3z$

Now, substituting the value in the equation.

$x+y= 3z$

⇒ $(1+y)+y= 3\times (y-2)$

solving it to get value of y

⇒ $2y+1= 3y-6$

⇒ $-y= -7$

∴ $y=7$

Next, finding value of z

y= $2+z$

substituting the value of y and subtracting both side by 2

∴ z= $7-2= 5$

Last, finding the value of x

$x=1+y$

substituting the value of y

∴ x= 8

xyz= 875

5 0

3 years ago