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3 years ago

Help me with my homework, please

Mathematics

1 answer:

loris [4]3 years ago

3 0

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

$\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}$

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Select the correct answer.

andrew-mc [135]

Answer:

OPTION C

Step-by-step explanation:

We have the following rules:

$\sqrt[a]{x} = x^{\frac{1}{a}$ and

$x^a . x^b = x^{a + b}$

OPTION A: $x \sqrt[7]{x}$

= $x . x^{\frac{1}{7}$

= $x^{1 + \frac{1}{7}$

$= x^{\frac{8}{7}$ $\ne x^{\frac{9}{7}$

So, it can be eliminated.

OPTION B: $\bigg ( \frac{1}{\sqrt[7]{x}} \bigg )^9$

= $\bigg ( \frac{1}{x^{\frac{1}{7}}} \bigg )^9$

= $\bigg ( x^ {\frac{-1}{7}} \bigg )^9$

= $x^{\frac{-9}{7}}$

So, this option is also eliminated.

OPTION C: $x . \sqrt[7]{x}$

= $x . x^{\frac{1}{7}}$

= $x^{1 + \frac{1}{7}}$

= $x^{\frac{9}{7}}$

So, OPTION C is the answer.

5 0

3 years ago

What is the solution of the system of equations? y=2x+2 y=4x-2

Margarita [4]

{ y=2x+2
{ y=4x-2

2x+2=4x-2
x=2

y=2 ⋅ 2+2
y=6

(x,y)=(2,6)

——
Check solution:
{ 6=2 ⋅ 2+2
{ 6=4 ⋅ 2-2

{6=6
{6=6

8 0

3 years ago

Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her

Aleks [24]

4,000 in bank -500 and 15000 so she had -20000 +4000 so it equals -16000

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3 years ago

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konstantin123 [22]

400, because it is the hundreds place

Answer: 400

Hope that helps and enjoy Brainly :)

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3 years ago

What are the coordinates of the circumcenter of ABC

Georgia [21]

Answer:

4,3 8,2

Step-by-step explanation:

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3 years ago