All categories

3 years ago

BRAINLIEST FOR FIRST ANSWER! PLS GIVE FULL EXPLANATION :)

Mathematics

1 answer:

S_A_V [24]3 years ago

6 0

Answer:

∠MEJ=25°

Step-by-step explanation:

step 1

Find the value of x

we know that

arc LJ+arc KM+arc KL+arc MJ=360° ----> complete circle

substitute the values

(4x+50)°+6x°+(x+10)°+4x°=360°

solve for x

(15x+60)°=360°

x=300°/15=20°

step 2

Find the measure of angle MEJ

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

∠MEJ=(1/2)[arc MJ-arc KL]

arc MJ=4(20°)=80°

arc KL=20°+10°=30°

substitute the values

∠MEJ=(1/2)[80°-30°]=25°

You might be interested in

Island A is 160 miles from island B. A ship captain travels 220 miles from island A and then finds that he is off course and 200

Angelina_Jolie [31]

Answer:

=135.53°

Step-by-step explanation:

The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.

Let C be the position of the ship, then

AB is c=160

AC is b=220

BC is a=200

We use the cosine rule as follows:

c²=a²+b²-2ab Cos C

160²=200²+220²-2×200×220 Cos C

25600=88400-88000Cos C

88000 Cos C=88400-25600

88000Cos C=62800

Divide both sides by 88000.

Cos C=62800/88000

=0.7136

C=44.47°

He should turn (180°-44.47°)=135.53°

3 0

3 years ago

Find the degree of the following angles<br><br> please and thank you

bagirrra123 [75]

1) 90
2) 30
3) 150
4) 20
Hope this helped

6 0

3 years ago

Read 2 more answers

In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin

Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

$r {}^{2} = {x}^{2} + {y}^{2}$

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

$\tan(x) = \frac{y}{x}$

Remeber since we are trying to find the angle measure, use inverse tan function

$\tan {}^{ - 1} ( \frac{y}{x} ) =$

Answers For 2,5

${2}^{2} + {5}^{2} = \sqrt{29} = 5.4$

So r=sqr root of 29

$\tan {}^{ - 1} ( \frac{5}{2} ) = 68$

So the answer is (sqr root of 29,68).

For -3,3

${ -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2}$

$\tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45$

Use the identity

$\tan(x) = \tan(x + \pi)$

So that means

$\tan(x) = 135$

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

${5}^{2} + {3.5}^{2} = \sqrt{37.25}$

$\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35$

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

${0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4$

So r=5.4

$\tan {}^{ - 1} (0) = undefined$

So our points are (5.4, undefined)

4 0

3 years ago

Somebody please help me ASAP!

muminat

Answer:

-3 the reaction force will be 3, the net force will have to add up to 0.

Step-by-step explanation:

8 0

3 years ago

Louise wants to visit El Paso San Diego Columbus Los Angeles Jacksonville San Antonio Austin and Chicago. If she decides to visi

MakcuM [25]

There are eight cities on the list.

The number of groups of 2 is (8·7)/2 = 28
The number of groups of 3 is (8·7·6)/(3!) = 56
The number of groups of 4 is (8·7·6·5)/(4!) = 70
The number of groups of 5 is (8·7·6·5·4)/(5!) = 56
The number of groups of 6 is (8·7·6·5·4·3)/(6!) = 28
The number of groups of 7 is (8·7·6·5·4·3·2)/(7!) = 8

So there are (28+56+70+56+28+8) = 246 ways to visit "some" of them.

There's only one way to visit "all" of them, and
there's only one way to visit "none" of them.

So, all together, Louise has 248 travel options.
If she decides to visit Chicago, I will show her a good time.

8 0

4 years ago