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AleksandrR [38]
3 years ago
15

Which rigid transformation would map ΔAQR to ΔAKP?

Mathematics
2 answers:
Virty [35]3 years ago
8 0
Rotation around point a

weqwewe [10]3 years ago
7 0

Answer:

A. Rotation around point a

Step-by-step explanation:

I hope this helps.

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The equation of line WX is 2x + y = -5. What is the equation of a line perpendicular to line WX in slope-intercept form that con
sveticcg [70]

Answer:

The third choice is the one you want

Step-by-step explanation:

If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign.  Solving for y takes care of finding the slope of WX:

2x + y = -5 so

y = -2x - 5

The slope is -2.  That means that the reciprocal slope is 1/2.  Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y.  Start by filling in the m, the x value and the y value:

y - (-2) = \frac{1}{2}(x-(-1))

Getting rid of the double negatives gives us:

y+2=\frac{1}{2}(x+1)

Distributing then gives us:

y+2=\frac{1}{2}x+\frac{1}{2}

And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):

y=\frac{1}{2}x+\frac{1}{2}-\frac{4}{2}

And the final equation in slope-intercept form is:

y=\frac{1}{2}x-\frac{3}{2}

8 0
2 years ago
Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n
USPshnik [31]

Answer:

\dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used

Step-by-step explanation:

Daniel uses the proportions of \dfrac{2}{3} cups of orange juice and \dfrac{1}{4} cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}

So for one cup of carrot juice \dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used.

4 0
2 years ago
Solve. 10x^2 = 6 + 9x10x 2 =6+9x10, x, start superscript, 2, end superscript, equals, 6, plus, 9, x Choose 1 answer: Choose 1 an
yulyashka [42]

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0         .... (1)

then the quadratic formula is

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

The given equation is

10x^2=6+9x

It can rewritten as

10x^2-9x-6=0            .... (2)

On comparing (1) and (2) we get

a=10,b=-9,c=-6

Using quadratic formula we get

x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(10)(-6)}}{2(10)}

x=\dfrac{9\pm \sqrt{81+240}}{20}

x=\dfrac{9\pm \sqrt{321}}{20}

Therefore, the correct option is B.

6 0
3 years ago
Read 2 more answers
If x = y + z and x + y =6 and x = 10, then z = _____?
7nadin3 [17]
X+y=6
x=10

10+y=6
y=-4

10=-4+z
-4+z=10
z=10+4
z=14

So the correct answer is 14
4 0
3 years ago
Read 2 more answers
Plz help will be marked BRAINLIEST!!<br><br><br> Yed
Natasha2012 [34]

X=−13

Distribute

Subtract

simplify

divide both sides

then simplify again to arrive at your answer.

8 0
2 years ago
Read 2 more answers
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