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3 years ago

Find the measures of the interior angles please

Mathematics

1 answer:

sweet [91]3 years ago

8 0

Solution:

X°+68°+(x-24)°=180°

Or,2x°-24°=180°

Or,x=180°

now by puttin' the value of x we get,

<A=180°

<B=68°

<C=156°

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Rude took a test and earned a 92%. Camilo earned an 88% on the same test. If Rudy answered 46 questions correctly, how many more

g100num [7]

Rudy answered 2 more questions correctly
...........
46x2=92
44x2=88
...........
92-88=4

7 0

3 years ago

Find the x- and y- intercepts of parabola y=5x^2-16x+10

____ [38]

Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

5 0

2 years ago

A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit

natita [175]

The balance after 8 years is $22,942.67

<h3>What is the balance after 8 years?</h3>

We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:

B = $7500*(1 + 15%/100%)^t

B = $7500*(1.15)^t

The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:

B = $7500*(1.15)^8 = $22,942.67

So the correct option is the last one.

If you want to learn more about exponentials:

brainly.com/question/2456547

#SPJ1

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2 years ago

Solve 4x - c=k for x

kumpel [21]