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Mathematics

1 answer:

Inessa [10]3 years ago

8 0

Answer:

largest angle measures 108°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

8x - 6 + 108 + 14 = 180, simplify left side

8x + 116 = 180 ( subtract 116 from both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Thus

∠ U = 8x - 6 = 8(8) - 6 = 64 - 6 = 58°

Then the largest angle measures 108° ( ∠ B )

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Please answer ASAP. The question is down below

Nadusha1986 [10]

Answer: 1) D 2) B

Step-by-step explanation:

1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0

n(n - 3)(n - 1) = 0

n=0 n-3=0 n-1=0

n=0 n=3 n=1

2) In order to be a rational expression, it must be in the form $\dfrac{a}{b}$ where both a and b are integers.

Since $\sqrtb$ $\sqrt b$ is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.

Therefore, options (i) and (iv) are not rational expressions.

Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.

3 0

4 years ago

AC=36cm, and BC=27cm. Verify that DE\\AB.

emmasim [6.3K]

Answer:

$\overline {DE} \parallel \overline{AB}$ because $\frac{EC}{DC} = \frac{AC}{BC}$ .

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, $\overline {DE} \parallel \overline{AB}$ if and only if $\frac{EC}{DC} = \frac{AC}{BC}$ . If we know that $EC = 15\,cm$ , $DC = 20\,cm$ , $BC = 36\,cm$ and $AC = 27\,cm$ , then we have the following result: