3 years ago

Calculate the value of x

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Step-by-step explanation:

$6x - 24 + 2x + 12 = 180$

$4x - 12 = 180$

$4x = 180 + 12$

$4x = 192$

$x = \frac{192}{4} \\$

$x = 48$

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What condition renders this true, where S and T are sets?

daser333 [38]

Answer:

There are no sets S, T for which

$S \cup T^c=S^c\cap T$

holds

Step-by-step explanation:

Let the set A be

$A=S\cup T^c$

By de De Morgan's Law

$A^c=S^c\cap ((T)^c)^c$

But

$((T)^c)^c=T$

$A^c=S^c\cap T$

We conclude that

$S \cup T^c=S^c\cap T\Rightarrow A=A^c$

which is a contradiction because no set is equal to its complement.

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3 years ago

In parallelogram ABCD measure angle A=(2x) and measure angle B=(5x+5). what are the measures of the angles of the parallelogram

iragen [17]

Opposite angles are equal, so we know that C=2x and D=5x+5 as well.

The sum of the interior angles of any quadrilateral is 360, so we have

$2(2x+5x+5)=2(7x+5)=360 \iff 7x+5=180 \iff 7x=175 \iff x=25$

So, the measures of the angles are

$2x=50,\quad 5x+5=130$

7 0

3 years ago

Can anyone help me with this. It asks to solve and check your answer.

Katarina [22]

4m -21 = 3(5m - 1)
4m - 21 = 15m - 3
15m - 4m = -21 + 3
11m = -18
m = -18/11

To check:
LHS → 4 (-18/11) -21 = - 303/11
RHS → 3( 5(-18/11) - 1) = -303/11
LHS = RHS (The answer is right)

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3 years ago

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (80pts)

lubasha [3.4K]

Answer:

Vol of prism 1 is 650in^3 I believe and the SA of prism 2 is 260.

Step-by-step explanation:

4/10=.40

1625x.40=650

10/4=2.5

104x2.5=260

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3 years ago

Read 2 more answers

What is the normal square root of 20

eduard

Answer:

$\displaystyle 2\sqrt{5}$

Step-by-step explanation:

$\displaystyle 2\sqrt{5} = \sqrt{[5][4]} \\ \\ 4,472135955 ≈ 2\sqrt{5}$

I am joyous to assist you anytime.

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3 years ago