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3 years ago

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Write and solve an equation given the following information. Angles 1 and 2 are complementary. the measure of angle 2 is 18 larg

er than the measure of angle 1.
A.) x + (x + 18) = 90, x = 36
B.) x + (x + 18) = 180, x = 81
C.) 2x + 72 = 90, x = 9
D.) x + (x - 18) = 90, x = 54

Will give brainlist!!

1 answer:

gayaneshka [121]3 years ago

8 0

The answer is A because complementary is 2 angle that add up to 90

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Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he

algol13

ANSWER
0.756

EXPLANATION

Let x represent number of correct answers.

We can find

$P(x = 0 \text{ or } x = 1)$

which leads us to

$P(x\ge 2) = 1 - P(x = 0\text{ or }x = 1)$

which uses the compliment of $P(x = 0\text{ or }x = 1)$ to find the probability of getting at least 2 questions correct.

Note that since $P(x=0)$ and $P(x=1)$ are mutually exclusive, we have

$P(x = 0\text{ or }x = 1) = P(x=0) + P(x=1)$

Then $P(x=0) = 3^{10}/4^{10} = (3/4)^{10}$ as we have $3^{10}$ to answer the questions incorrectly divided by the total $4^{10}$ to answer the questions.

Exactly 1 answer correct: $P(x=1) = {}_{10}C_1 \cdot(3/4)^9(1/4)^1$

Therefore

$\begin{aligned}
P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\
&=1 - \big[P(x=0) + P(x=1)\big] \\
&=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\
&\approx 0.756
\end{aligned}$

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3 years ago

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The volume (in cubic feet) of a room is represented by 12z3−27z12z3−27z. find expressions that could represent the remaining dim

ratelena [41]

The volume of a room = length * width * height
                                    =12z³-27z
And by the analysis:
     The volume = 12z³-27z
                          = ( 3z ) ( 4z²-9 )              ⇒ by taking (3z) common
                          = ( 3z )( 2z+3 )( 2z-3 )    ⇒ <span>the difference between two squares

So </span><span>the dimensions of the room will be 3z , 2z+3 , 2z-3
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I have attached tha problem
</span>

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3 years ago

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PLEASE HELP ME PLEASE PLEASE PLEASE!!! IMA FAIL THIS TEST HELP

notka56 [123]

The equation is y=2x+10

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3 years ago

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Write the equation of a line that passes through point (2,3) and (0,9).

11Alexandr11 [23.1K]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)

To find "m", you can use the slope formula and plug in the two points:

(2,3) = (x₁ , y₁)

(0,9) = (x₂ , y₂)

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{9-3}{0-2}$

$m=\frac{6}{-2}$

m = -3

y = -3x + b

To find "b", you can plug in one of the points into the equation (however they already gave you the y-intercept (0,9) or 9)

(2,3)

y = -3x + b

3 = -3(2) + b

3 = -6 + b

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3 years ago

Pleeeeeeeeeease

xxMikexx [17]

Answer:

The final equation is $y = \frac{4}{3}x - \frac{16}{3}$

Step-by-step explanation:

The slope of the line CB where, C(0,3) and B(12,-6) will be

$M = \frac{- 6 - 3}{12 - 0} = - \frac{3}{4}$

Now, if the line perpendicular to the line CB has slope N, then M × N = - 1

⇒ $N = \frac{4}{3}$ {Since $M = - \frac{3}{4}$ }

Now, equation of the straight lines which are perpendicular to CB will be in slope-intercept form

$y = \frac{4}{3}x + c$ {Where, c is the y-intercept}

If this straight line passes through the point (7,4), then

$4 = \frac{4}{3} \times 7 + c$

⇒ 12 = 28 + 3c

⇒ 3c = - 16

⇒ $c = - \frac{16}{3}$

Therefore, the final equation is $y = \frac{4}{3}x - \frac{16}{3}$ (Answer)

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4 years ago