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4 years ago

Angles T and V are country that angle T has a measure of (2X +10) angle B has a measure of 48° what is the value of X

1 answer:

4 0

If T and V are complementary angles, their sum is 90°.

V + T = 90°
48° + (2X+10)° = 90° . . . . . . . substitute given information
2X + 58 = 90 . . . . . . . . . . . . .. collect terms
2X = 32 . . . . . . . . . . . . . . . . .. subtract 58
X = 16 . . . . . . . . . . . . . . . . . .. divide by 2

The value of X is 16.

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There is a 60% chance that your math teacher will give a pop quiz tonight, and due to the fact that you have a soccer game, ther

Verizon [17]

Answer:

D) 0.51, and do the homework

Step-by-step explanation:

First, we have the event "Probability of give a pop quiz" and event 2 "Probability of not doing homework".

The soccer game, and the pop quiz are not related, which means that the outcome of one or another event, will not affect the fact of the soccer game to be realized, so these 2 previous events are independent events, you can either have the quiz and not doing the homework, or even not have the quiz but still do the homework, the result of one will not affect the outcome of the other, hence:

P(A∩B) = P(A) * P(B)

Replacing the data we have:

P(A∩B) = 0.6 * 0.85

P(A∩B) = 0.51 or 51%

This result is lower than 80%, therefore, you'll do the homework

3 0

4 years ago

Find x + y + z. A)180 B)150 C)360 D)270

insens350 [35]

Answer: a i think

Step-by-step explanation: all tringles are supposed to add up to 180

4 0

3 years ago

Read 2 more answers

Which angle is congruent to B

Oksi-84 [34.3K]

I think it’s angle D because it’s an alternate interior angle with angle B

3 0

3 years ago

Determine the equation of the line that passes through the points of intersection of the graphs of the quadratic functions f(x)

timofeeve [1]

Answer: $x-2y-2=0$

Step-by-step explanation:

Given :

$f(x) = x^2 - 4 \\ g(x) = - 3x^2 + 2x + 8$

Point of intersection :

$f(x)=g(x)\\x^2-4=-3x^2+2x+8\\4x^2-2x-12=0\\2x^2-x-6=0\\2x^2-4x+3x-6=0\\2x(x-2)+3(x-2)=0\\(x-2)(2x+3)=0\\x=2\,,\,\frac{-3}{2}$

$x=2\,;f(2)=2^2-4=0\\x=\frac{-3}{2}\,; f\left ( \frac{3}{2} \right )=\left ( \frac{3}{2} \right )^2-4=\frac{-7}{4}=-1.75$

So, we have points $\left ( 2,0 \right )\,,\,\left ( -1.5,-1.75\ \right )$

Equation of line passing through two points $\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}\left ( x-x_1 \right )$

Let $\left ( x_1,y_1 \right )=\left ( 2,0 \right )\,,\,\left ( x_2,y_2 \right )=\left ( -1.5,-1.75\ \right )$

So, equation is as follows :

$y-0=\frac{-1.75-0}{-1.5-2}\left ( x-2 \right )\\y=\frac{-1.75}{-3.5}\left ( x-2 \right )\\y=\frac{1}{2}(x-2)\\2y=x-2\\x-2y-2=0$

4 0

4 years ago

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Volgvan

Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).

The height of the box is x inches due to this portion being folded up.

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).

6 0

3 years ago

Read 2 more answers