All categories

3 years ago

Find the value of x given the diagram below

Mathematics

1 answer:

Pie3 years ago

3 0

The value of x is 44°.

Step-by-step explanation:

Step 1:

The sum of the angles in a triangle is equal to 180°.

The sum of the angles along a straight line is 180°.

The two given angles of the triangle are 14° and 30°.

Assume the third angle is a.

The sum of 14°, 30° and a is 180°.

$14+30+a=180.$

$a = 180-44 = 136.$

So the third angle of the triangle is 136°.

Step 2:

The sum of the angles along a straight line is 180°.

The sum of the angle of the triangle, 136° and x is 180°.

$136+x=180.$

$x = 180- 136 = 44.$

So x measures 44°.

You might be interested in

SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG

Illusion [34]

Answer:

The answer is less than one

Step-by-step explanation:

Because 1/2= less than 3

1 1/2= 3 and is less than 9

2 1/2= 5 not 15

8 0

2 years ago

Read 2 more answers

What is the determinant of H<br><br>asap

dalvyx [7]

Answer:

H = 15

Step-by-step explanation:

If you need an explnation, I can provide it if needed! Cheers!

3 0

2 years ago

To find the extreme values of a function f(x,y) on a curve xequalsx(t), yequalsy(t), treat f as a function of the single vari

pychu [463]

Answer:

Absolute maximum is 2

Absolute minimum at -2

Step-by-step explanation:

The given parametric functions are:

$x=2\cos t,y=2\sin t$

By the chain rule:

$f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)$

At fixed points, $f'(t)=0$

$\implies -\cot (t)=0$

This gives $t=\frac{\pi}{2} ,\frac{3\pi}{2}$ on $0\le t\le 2\pi$

This implies that the extreme points are $(2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2)$ and $(2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)$

By eliminating the parameter, we have $x^2+y^2=4$

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at $t=\frac{\pi}{2}$ and (0,-2) is an absolute minimum at $t=\frac{3\pi}{2}$

7 0

3 years ago

Which sequences of transformations will map circle<br><br> M onto circle N?

sergiy2304 [10]

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

$M = (5,5)$

$N = (5,-5)$

And the radius of circles are:

$r_M=2$

$r_N=3$

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

$(x,y) \to (x,-y)$

$M(5,5) \to M'(5,-5)$

<em>At this point, M' and N now have the same center but different radius.</em>

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

$k =\frac{r_N}{r_M}$

$k =\frac{3}{2}$

<em>At this point, M has been completely mapped to N.</em>

4 0

2 years ago

This table shows the results of a survey that asked a group of people what time of day their favorite TV show aired. What time c

irina1246 [14]

Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.

A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.

Read more on mode here: brainly.com/question/542771

#SPJ1

6 0

2 years ago