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3 years ago

the measures of two angels are (5x+24) and (9x-17). what is the value of x if these angels are congruets

1 answer:

3 0

You set the expressions equal to each other since they are congruent, then solve.
5x + 24 = 9x - 17
First subtract 24 from both sides to get
5x = 9x - 41
The subtract 9x from both sides to get
-4x = -41
Then divide both sides by -4 to get
x = 41/4 or as a decimal x = 10.25

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lbvjy [14]

I think The answer is a.59

4 0

4 years ago

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

#SPJ4

7 0

1 year ago

Find each missing length, make sure you give both exact AND approximate. Brainliest + 50pts

goldenfox [79]

B²=15²-7²
B²=225-49
B²=176
B=13.26(exact)
B=13.3(approx)

B²=17²-7²
B²=289-49
B²=240
B=15.49(exact)
B=15.5

H²=20²+14²
H²=400+196
H²=596
H=24.41(approx)
H=24.4(exact)

B²=6²-3²
B²=36-9
B²=27
B=5.196(exact)
B=5.2(approx)

3 0

2 years ago

Please help me ASAP

Colt1911 [192]

First,let's find the slope-intercept form of equation which is y=mx+b, where y and x are coordinates, m is the slope and ,c is the y-intercept
y+6.75=0.25(x-1) y=0.25(2)-6.5
y+6.75-6.75=0.25x -0.25 -6.75 y=-6
y=0.25x-6.5
(2,-6) is the only correct answer I think is on the line with this equation.

7 0

3 years ago

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Anni [7]

1/2!!! hope this helps!

3 0

3 years ago

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