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3 years ago

6

Please help and thank you for all who helps

1 answer:

slega [8]3 years ago

8 0

Answer: JK+KL=JL <--> 4x+6+7x+15=120 <--> x=9

JK=4x+6=4.9+6=42

KL=7x+15=7.9+15=78

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Find Lm=<br> Help me please thanks

Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

2 × π × r × (60° /360°) = π

r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

LO = ON = OM = MN = Radius = 3 cms

Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

LM² + MN² = (LO + ON)²

LM² + r² = (r+r)²

LM² + r² = 4r²

LM² = 3r²

LM² = 3(3²)

LM = √27 cms

LM = 3√3 cms

Hence, the length of LM is 3√3 cms.

Learn more about Triangle:

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4 0

2 years ago

Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai

Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Given : Confidence level : $(1-\alpha)=0.90$

⇒ significance level = $\alpha= 0.10$

z-value for 90% confidence interval (using z-table)= $z_{\alpha/2}=1.645$

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

$n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2$

Simplify , we get

$n=(0.25)(6765.0625)=1691.265625\approx1692$

Hence, the required sample size = 1692

8 0

3 years ago

Read 2 more answers

How many cupcake are in 1/3 dozen

Anettt [7]

4 cupcakes because if you do 12/ 1/.. you do kcf = to 12 x 1/3= 4

your welcome

7 0

3 years ago

Find the unknown number. Enter your answer in simplest form.<br> 9/10 - ? = 1/2 ?

lord [1]

Answer:

well its 2/5

Step-by-step explanation:

because its 4/10 but you wanted to simplify it so its 2/5

brainlist? its the crown btw

8 0

2 years ago

Read 2 more answers

Find the area of the trapezoid.

Lemur [1.5K]

Answer:

448

Step-by-step explanation:

A=((a+b)/2) h=(17+39)/2·16=448

8 0

3 years ago