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4 years ago

∠TUV and ∠VUW are adjacent complementary angles. If m∠TUV = 80°, what is m∠VUW?

1 answer:

6 0

Since they are adjacent complementary angles, that means angle TUV and angle VUW add to equal 90°. Since angle TUV is 80°, you subtract 80 from 90, which gives you 10°. So, this means angle VUW is 10°.

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A piecewise function g(x) is represented by the graph. Which functions represent a piece of the function? Select three options.

horrorfan [7]

-2 and 2x*56 the other answer is g(x)

6 0

3 years ago

FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 17<br><br>11 , 10<br>2 ,23<br>19 ,2

AveGali [126]

Answer:

19, 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y , then

x + y = 21 → (1)

x - y = 17 → (2)

Add the 2 equations term by term to eliminate y , that is

2x = 38 ( divide both sides by 2 )

x = 19

substitute x = 19 into (1) for value of y

19 + y = 21 ( subtract 19 from both sides )

y = 2

The 2 numbers are 19 and 2

5 0

3 years ago

Anybody help me to solve this question.

Mumz [18]

Answer:

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP$

Step-by-step explanation:

Given that $(b-c)^2, (c-a)^2 , (a-b)^2$ are in AP

To prove: $\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}$ are in AP

From given as we know if p , q, r are in AP then 2q= p+r.

$2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab$

Now

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc$

Which is the result of AP

Hence proved

6 0

3 years ago

Absolute value of [4-9]

Firdavs [7]

Answer:

-5

Step-by-step explanation:

==> [4-9]

==>[-5]

==> -5

6 0

2 years ago

Which describes the slope of this line?

sergeinik [125]

I take the points that you gave. Let named A(0,-3) and B(2,1)

The slope coefficient is S= (yb-ya)/(xb-xa)

S= (1-(-3))/(2-0) => S= (1+3)/2 = 4/2= +2 => S= +2

The correct answer is positive slope
Good luck!!!

7 0

4 years ago