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IrinaVladis [17]

3 years ago

11

A triangle has angles that measure 54.6° and 17.8°. Which equation can be used to find the value of x, the measure of the third

angle in the triangle?

1 answer:

Crazy boy [7]3 years ago

6 0

Answer:

58.6 + 17.8 + x = 180

Step-by-step explanation:

hope this helps

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

5 0

3 years ago

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Triss [41]

Answer:<

Step-by-step explanation:

5 0

3 years ago

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Pencils cost 0.55 each. A pack of pencils cost $11. Which equation can be used to fined p the number of pencils in one pack

Lerok [7]

$(0.55 \times p) = 11$
$p = (11 \div 0.55)$

8 0

3 years ago

Three times the smallest of three consecutive integers is six less than the largest. Find rhe numbers.

docker41 [41]

Let the numbers be x , x+1 and x+2

Then:-

3x = x + 2 - 6

3x - x = -4

2x = -4

x = -2

So the 3 integers are -2, -1 and 0. answer

5 0

4 years ago

What is the balance after 7 years if you deposit $2800 in an account that pays 4% interest compounded yearly ?

SVEN [57.7K]

Answer:the balance after 7 years is $3216

Step-by-step explanation:

A) Initial amount deposited into the account is $2800 This means that the principal,

P = 2800

It was compounded yearly. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 2800(1 + 0.04/2)^ 1× 7

A = 2800(1 + 0.02)^7

A = 2800(1.02)^7

A = $3216

6 0

3 years ago