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3 years ago

Find the measure of angle X.11°12°17°61°

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

Answer:

option B : 12 degree

Step-by-step explanation:

The sum of angles in a triangle = 180 degree

Small box represents 90 degree

From the inner triangle

90 + angle y + 29 = 180 degree

90 + y + 29 = 180

119 + y = 180 (subtract 119 on both sides)

y= 61 degree

(y+x) is the top angle for bigger triangle

From the outer triangle , 90 + (y+x) + 17 = 180

We know y = 61

90 + (61+x) + 17 = 180

90 + 61 + x 17 = 180

168 +x = 180(subtract 168 on both sides)

x= 12 degrees

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3 years ago

Find the value of x

Naddika [18.5K]

Answer:

x= -12

Step-by-step explanation:

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3 years ago

Read 2 more answers

the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha

Aleonysh [2.5K]

Answer:

y = - $\frac{4}{5}$ x + $\frac{2}{5}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = $\frac{5}{4}$ x + $\frac{3}{4}$ ← in slope- intercept form

with slope m = $\frac{5}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{5}{4} }$ = - $\frac{4}{5}$ , thus

y = - $\frac{4}{5}$ x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - $\frac{12}{5}$ + c ⇒ c = - 2 + $\frac{12}{5}$ = $\frac{2}{5}$

y = - $\frac{4}{5}$ x + $\frac{2}{5}$ ← equation of perpendicular line

4 0

3 years ago

How are the graphs of f(x)=square foot 16^x and g(x)=3 square root 64^x related

FinnZ [79.3K]

Both functions can be expressed in the form of √2ˣ

f(x)=√(2ˣ)⁴ = √16ˣ

g(x)= √(2ˣ)⁶ = √64ˣ <-- these can be further broken down if required

Hope I helped :)

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3 years ago

If g(x)=x+1/x-2 and h(x) = 4 – x, what is the value of (gxh) (-3)

suter [353]

For this case we have the following functions:

$g (x) = \frac {x + 1} {x-2}\\h (x) = 4-x$

We must find (g * h) (x)

By definition we have to:

$(g * h) (x) = g (x) * h (x)$

So:

$(g * h) (x) = \frac {(x + 1) (4-x)} {x-2}$

Now, we evaluate the function at x = -3:

$(g * h) (- 3) = \frac {(- 3 + 1) (4 - (- 3))} {- 3-2}\\(g * h) (- 3) = \frac {(- 2) (4 + 3)} {- 5}\\(g * h) (- 3) = \frac {(- 2) (7)} {- 5}\\(g * h) (- 3) = \frac {-14} {- 5}\\(g * h) (- 3) = \frac {14} {5}$

Answer:

$(g * h) (- 3) = \frac {14} {5}$

3 0

3 years ago