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2 years ago

If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle EJS?

Mathematics

1 answer:

Leya [2.2K]2 years ago

3 0

The angle ∠EJS is bisected by the diagonal JS to form an angle of 62°

Response:

<u>∠EJS is 62°</u>

<h3>What properties of a rhombus can be used to find ∠EJS = 62?</h3>

Properties of a rhombus:

The lengths of the sides of a rhombus are equal

The measure of the opposite angles of a rhombus are equal

The diagonals bisect the interior angles of a rhombus

Given that JOSE is a rhombus, and ∠ESO = 124°, we have;

∠EJO = ∠ESO = 124° opposite angles of a rhombus

∠EJS = ∠OJS definition of bisected angle ∠EJO

∠EJS + ∠OJS = ∠EJO by angle addition

∠EJS + ∠OJS = 2×∠EJS = ∠EJO = 124°

$\angle EJS = \dfrac{124^{\circ}}{2} = \mathbf{62^{\circ}}$

∠EJS = <u>62°</u>

Learn more about a rhombus here:

brainly.com/question/10689502

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JulijaS [17]

25 and 10, since 25+10=35, and 25-10=15

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3 years ago

If the second hand of a clock has a length of 10 cm, find the distance the tip of the second hand travels in 45 seconds. Give an

UkoKoshka [18]

The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>

L = 2πr∅/360.................. Equation 1

<h3> Where: </h3>

L = distance traveled by the tip of the second hand.
r = Length of the second hand
∅ = angle formed by the second hand of the clock
π = pie

From the question,

<h3>Given:</h3>

r = 10 cm = 0.1 m
∅ = (360×45/60) = 270°
π = 3.14

Substitute these values into equation 1

L = 0.1×2×270×3.14/360
L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

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3 years ago

What is the right answer?

OverLord2011 [107]

3/5 because she is sharing with 3 sisters. So there is 4 people

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3 years ago

Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o

slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>3x</u> = <u>42</u> Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

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3 years ago

Read 2 more answers

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kompoz [17]

1. m+n
2. n years old

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2 years ago

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If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle EJS?￼

If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle EJS?