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3 years ago

Which angle measures are correct? Select three options,

Mathematics

1 answer:

masya89 [10]3 years ago

6 0

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The shape is parallelogram WXYZ. m∠Y = 125.

A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.

Therefore in parallelogram WXYZ:

m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)

m∠Z + 125 = 180

m∠Z = 180 - 125

m∠Z = 55°

m∠W = m∠Y (Opposite angles are equal)

m∠W = 125°

m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)

m∠X + 125 = 180

m∠X = 180 - 125

m∠X = 55°

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A circle has a diameter with endpoints (-8, 2) and (-2, 6).<br> What is the equation of the circle?

choli [55]

Answer:

Step-by-step explanation:

Alright, lets get started.

We have given two points that are end point of diameter.

So, the center point will be :

x co-ordinate : $\frac{-8-2}{2}=-5$

y co-ordinate : $\frac{2+6}{2}=4$

Hence the center is : (-5,4)

Now the distance between these two end points :

$d=\sqrt{(6-2)^2+(-2+8)^2}$

$d=\sqrt{16+36}$

$d=\sqrt{52}$

So radius will be half of this diameter.

$r=\frac{\sqrt{52} }{2}$

Plugging these values in standard equation of circle

$(x-x_{1} )^2+(y-y_{1} )^2=r^2$

$(x+5)^2+(y-4)^2=\frac{52}{4}$

$(x+5)^2+(y-4)^2=13$ .................................. This is the answer

Hope it will help :)

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3 years ago

Brick red is supposed to be seven hearts read to two cards blue today the machine mix 35 quarts of red and 5 quarts of blue what

posledela

7/12 of the mixture should be blue......but, in her mixture, 9/15 = 3/5 of the mixture is blue.....

And 7/12 is not equal to 3/5......so....the shade is not correct

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3 years ago

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P ∨ q = true ∨ false = true

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4 years ago

48/100 in simple form

Rus_ich [418]

48/100 in simplest form is 12/25

Explanation:
The first step to this problem is to find the GCF (greatest common factor) of 48 and 100, which is 4. Then, we divide 48 by 4 and 100 by 4, which gives us 12 and 25. Now, we get the answer (12/25.)

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4 years ago

If cos thetha =-0.96 and (sec thetha)(sin thetha)>0 find the value of tan thetha

kykrilka [37]

Cos(theta)=-0.96 <0
=>
theta is either in the 2nd or third quadrant.

cos(theta)=-0.96
=>
sec(theta)=1/cos(theta)=-1/0.96 <0

Given sec(theta)(sin(theta)>0
=> cos(theta)sin(theta)>0
=> cos(theta) and sin(theta) have the same sign,
=> sin(theta)<0
=>
theta is in the third quadrant. => tan(theta)>0

Given cos(theta)=-0.96
=>
|sin(theta)|=sqrt(1-(-0.96)^2)=sqrt(0.0784)=0.28
=> sin(theta)=-0.28

Finally,
tan(theta)=sin(theta)/cos(theta)=-0.28/-0.96
=7/24
=0.29167 (to the fifth decimal place)

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