In the decimal number .675, the 7 holds what place value

Mathematics

2 answers:

aliya0001 [1]4 years ago

8 0

7 is representing the hundredth's place.

Sergio039 [100]4 years ago

7 0

To see 7's rank we can count the number of digits after ".". 7 is the second digit and given that the first digit represents the decimals, 7 will represent the hundreths.

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A regular hexagon is shown below. Find the value of X

Varvara68 [4.7K]

Answer:

$x=9$

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to $(11x+21)^o$ .

Since an interior angle of a hexagon measures 120°, we have the equality

$(11x+21)=120$ .

Now it is just a matter of solving for $x:$

$11x=120-21\\\\11x=99\\\\x=\frac{99}{11} \\\\\boxed{x=9}$

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3 years ago

Given: C∉ BD ,△ABC D∈ ray BC ,AB=AC=BC Prove: BD>DA>AB

jonny [76]

Triangle ABC is equilateral, because AB=BC=AC=a. Then

m∠A=m∠B=m∠C=60°.

Let point D lie on the ray BC to the right from points B and C and let CD=x. Then BD=a+x, AB=a.

Consider triangle ACD. In this triangle, m∠ACD=180°-m∠ACB=180°-60°=120°.

By the cosine theorem,

$AD^2=AC^2+CD^2-2\cdot AC\cdot CD\cdot \cos \angle ACD,\\\\AD^2=a^2+x^2-2\cdot a\cdot x\cdot \cos 120^{\circ},\\\\AD^2=a^2+x^2+ax,\\\\AD=\sqrt{a^2+x^2+ax}.$