3 years ago

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Mathematics

1 answer:

PolarNik [594]3 years ago

3 0

Answer:

Step-by-step explanation:

Side angle side therom says that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

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Calculate the length of AB. Round to the nearest tenth.

marissa [1.9K]

Answer:

AB = 10.06 cm

Step-by-step explanation:

Consider the given figure,

We have to find the length of side AB.

Lets rename the figure first, ABCD forms a rectangle. So , CB = DA = 12 cm

Also, EA = ED +DA ⇒ 15 = ED + 12 ⇒ ED = 15 - 12 ⇒ ED = 3 cm

Pythagoras theorem states that in a right triangle the sum of square of base and perpendicular is equal to square of hypotenuse.

Using, Pythagoras Theorem on Δ EDC,

$(EC)^2=(ED)^2+(DC)^2$

ED = 3 cm , EC = 10.5, Substitute, we get,

$\Rightarrow (10.5)^2=(3)^2+(DC)^2$

Solve for DC, we get,

$\Rightarrow 110.25=9+(DC)^2$

$\Rightarrow 110.25-9=(DC)^2$

$\Rightarrow (DC)^2=101.25$

$\Rightarrow DC=\sqrt{101.25}$

$\Rightarrow DC=10.06$

Since, ABCD is a rectangle. Thus, DC = AB

Hence, AB = 10.06 cm

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3 years ago

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How do you know if a value is a solution to<br> an equation?

Alex787 [66]

Answer:

You know that a value is a soloution to a problem when you add the value into the problem to check if it solves the problem. :)

Step-by-step explanation:

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3 years ago

Which are the roots of the quadratic function f(q) = q2 – 125?

qwelly [4]

The solutions to q² - 125 = 0 are q = ±√125.
q = -5√5
q = 5√5

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4 years ago

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LuckyWell [14K]

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Step-by-step explanation:

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I believe that would be 19!

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