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3 years ago

What’s the correct answer ?

Mathematics

1 answer:

Leona [35]3 years ago

7 0

The answer is a) 35

The steps:
180° - 95 ° = 85 °
180 ° - (85 ° + 60 °)=35 °

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If a = √3-√11 and b = 1 /a, then find a² - b²

Serga [27]

If $b=\frac1a$ , then by rationalizing the denominator we can rewrite

$b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8$

Now,

$a^2 - b^2 = (a-b) (a+b)$

and

$a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8$

$a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8$

$\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}$

5 0

2 years ago

Use the diagram shown to find x.

marusya05 [52]

X would equal 70°.

For every triangle, all interior angles add up to 180°. This means that we can add together 42 and 68 to get 110°. Because the sum of all interior angles in a triangle must be 180°, we subtract 110 from 180 to see how much more we need, which gets us 70°.

I hope this helps!

6 0

3 years ago

Read 2 more answers

3)June 2019-In the diagram below of AABC, D is a

Alexeev081 [22]

Answer:

BC = 23.8

Step-by-step explanation:

See the diagram attached.

Given AC ║ DE and BD = 5, DA = 12 and BE = 7.

We have to find BC.

Since, AC ║ DE, so, Δ ABC and Δ DBE are similar.

If two triangles are similar then the ratio of their corresponding sides remains the same.

Hence, $\frac{BD}{BA} = \frac{BE}{BC}$

⇒ $\frac{5}{12 + 5} = \frac{7}{BC}$

⇒ $BC = \frac{7 \times 17}{5} = 23.8$ (Answer)

7 0

3 years ago

Which of the following values of x will result in a true statement when

vodka [1.7K]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

-3(x-2)=9 Equation/Question

Step 2

-3(x-2)=9 Remove parenthesis

3x+6=9

Step 3

3x+6=9 Add -6

-3x=3

Step 4

−3x=3 Divide

answer

x=-1

Hope this helps

5 0

2 years ago

A farmer estimated that there was 25 gallons of water left in a tent if there’s an under estimate by 16% how much water was actu

PSYCHO15rus [73]

Answer:

mate i'm pretty sure its 21 gallons

Step-by-step explanation:

6 0

3 years ago