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3 years ago

15

The measure of the supplement of an angle is three times the measure of the

1 answer:

gtnhenbr [62]3 years ago

5 0

<h2>Answer:</h2>

<h3><em>x=45degrees</em></h3>

<h2>Step-by-step explanation:</h2>

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

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One number exceeds another by 1. the sum of the numbers is 21. what are the numbers

Cerrena [4.2K]

Try this solution:
1. if 1st number is 'x', the 2d number is 'y', then it is possible to make up the system of two equation according to the condition:
$\left \{ {{x-y=1} \atop {x+y=21}} \right. \ =\ \textgreater \ \ \left \{ {{x=11} \atop {y=10}} \right.$
2. one number is 11, another number is 10.

3 0

3 years ago

8^−2xa^7 simplified math assignment

Delvig [45]

Uh I don’t understand

5 0

3 years ago

Solve this inequality: 3b – 7 < 32

butalik [34]

It's a lot like solving equations.

3b-7 < 32
Add 7 to each side.
3b < 39
Divide by 3 on each side.
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Hope this helps :)

6 0

3 years ago

Read 2 more answers

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

= 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0

3 years ago

If h(-8), find 1/3*h(x) = x^2-5x+7

Lynna [10]

The value is 333

<h3>How to determine the function</h3>

From the information given, we have:

x = - 8
1/3*h(x) = x^2-5x+7

Now, let's substitute the value of 'x' in the function:

1/3*h(x) = x^2-5x+7

1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7

Make 'h ( -8)' the subject of formula

h ( -8) = $\frac{( -8)^2 - 5(-8) + 7}{1/ 3}$

h ( -8) = $\frac{64 + 40+ 7 }{1/ 3}$

Take the sum of the numerator

h ( -8) = $\frac{111}{1/3}$

Take the inverse of the denominator and multiply

h ( -8) = 111 × 3/ 1

h ( -8) = 333

We can see that through the substitute of the value of x as - 8, we get 333

Thus, the value is 333

Learn more about algebraic expressions here:

brainly.com/question/723406

#SPJ1

7 0

2 years ago