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3 years ago

What’s the measure of X in this short answers are fine

Mathematics

1 answer:

miv72 [106K]3 years ago

3 0

Answer:

28 = x

Step-by-step explanation:

62 = angle BAC since they are vertical angles

angle ABC is a right angle since KL is perpendicular to FG

Adding the angles in triangle ABC

BAC + ABC + BCA = 180

62 + 90 + BCA = 180

152 + BCA = 180

BCA = 180-152

BCA = 28

BCA = x since they are vertical angles

28 = x

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Can someone answer this for me?

erik [133]

Answer:

sin = opposite / hypotenuse

cos = adjacent/hypotenuse

sin U = 4/5

cos U = 3/5

sin T = 3/5

cos T= 4/5

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3 years ago

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

slega [8]

Answers:

Line A is parallel to line D.

Line A is perpendicular to line C.

Line C is perpendicular to line D.

=====================================================

Explanation:

Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)

$(x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2) = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\$

The slope of line A is 7

-------------

Now let's find the slope of line B.

$(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\$

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Now onto line C.

$(x_1,y_1) = (7,1) \text{ and } (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\$

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Lastly we have line D.

$(x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2) = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\$

------------------------------

Here's a summary of the slopes we found

$\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}$

Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.

Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.

Lines C and D are perpendicular for the same reasoning as the previous paragraph.

Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.

You can use a graphing tool like Desmos or GeoGebra to verify these answers.

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1 year ago

Solve for x<br> type your answer as x = (#)<br> ASAP

Nataliya [291]

Answer:

One step Equations:

1. x=4

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(I'm not sure if these are right but the answers above are for sure correct)

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3 years ago

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Julli [10]

Answer:

→ The table is:

→ x → -1 → 0 → 1

→ y → -3 → 0 → 3

The graph of the line is figure d

Step-by-step explanation:

∵ y = 3x

∵ x = -1, 0, 1

→ Substitute the values of x in the equation to find the values of y

∴ y = 3(-1) = -3

∴ y = 3(0) = 0

∴ y = 3(1) = 3

→ The table is:

→ x → -1 → 0 → 1

→ y → -3 → 0 → 3

∵ The form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

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→ Compare the equation with the form

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sveticcg [70]

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2 years ago