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2 years ago

9

Three interior angles of a quardilateral have measures of 100 degress, 120 degress, and 80 degress. Find the foourth angle measu

re.

1 answer:

Delicious77 [7]2 years ago

8 0

Answer:

60 degrees

Step-by-step explanation:

100+120+80+x=360

300+x=360

x=60

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.

loris [4]

The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0

Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3

4 0

2 years ago

if two angles are complementary then the sum of their measure is 90. if the sum of the measures of two angles is 90 then both of

Tju [1.3M]

Yes, both angles are acute because all complementary angles are acute.

6 0

2 years ago

A retiree invests $5,000 in savings plan that pays 4% per year. What will the account balance be at the end of the first year ?

Ira Lisetskai [31]

$5000 + 4% = $5000.04

3 0

2 years ago

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Can someone help me

algol [13]

Answer:

A)310.18g/mol

B)84.9947g/mol

C)108.01 g/mol

d)159.7g /mole(Approx)

e)Coc12 g/mol

f) A1(OH)3 g/mol

g)83.9949 g/mol

h)197.9 g/mol

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Step-by-step explanation:

Hope u happy with my answer...

please mark me as brainlest

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2 years ago

Landon is a maintenance worker at an amusement park. He stands atop a raised platform of the park's most popular

Helga [31]

Answer:

the equation fits the situation, but the table doesn’t.

Step-by-step explanation:

For both functions, the lead roller coaster car starts at an initial height of 32 feet. This is the point (0,32), directly above Landon.

The car races past Landon’s field of vision (y = 0) after it moves a horizontal distance of 4 feet and then 8 feet with respect to the starting point. So, the correct function will have x-intercepts of 4 and 8.

Begin by checking the equation. Rewrite the equation in factored form:

f(x) = $x^{3}$ − 11 $x^{2}$ + 20x + 32

= (x + 1)( $x^{2}$ − 12x + 32)

= (x + 1)(x − 4)(x − 8)

The equation has x-intercepts of 4 and 8.

But the table only has one x-intercept, located at (4,0). The point (8,160) is well out of Landon’s line of sight.

So, the equation fits the situation, but the table doesn’t.

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2 years ago

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