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3 years ago

WILL GIVE BRAINLIEST

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Answer:

x = 30

Step-by-step explanation:

The figure will be a parallelogram when adjacent angles are supplementary:

(3x)° + (x+60)° = 180°

4x +60 = 180

4x = 120

x = 30

The value x = 30 makes the figure a parallelogram.

_____

It also makes the figure a rectangle.

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I’m so confused pls help...

Mazyrski [523]

Answer:

D) 24

<u>Steps:</u>

(2/10)=3/(x-9)

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》(x-9)=15

》x = 15+9

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3 years ago

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4 years ago

Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ

astraxan [27]

Answer:

The Point in the first quadrant is $(\sqrt[2]{2.0268} ,6.559)$ .

Step-by-step explanation:

Since

we know the general equation of the circle whose center is at (h,k) and radius is r that is

$(x-h)^2+(y-k)^2 =r^2$

we have given center is (0,3) and radius is r= 4

substituting in the general equation of the circle we get

$x^2 +(y-3)^2 = 16$

Now substituting the y= 2.5x + 3 in the above equation we get

$x^2 +(2.5x + 3-3)^2 = 4^2$

$x^2 +6.25x^2 = 16$

here subtracting 16 from both sides and also perform addition

we get

$7.25x^2 = 16$

dividing both sides by 7.25 we get

$x^2 =2.2068$

taking square root both sides we get

$x= \frac{+}{-}\sqrt[2]{2.0268}$

but we need positive value of x because both x and y are positive in the first quadrant

that is

$x= \sqrt[2]{2.0268}$

substituting this into the given equation of the line we get

y = 2.5( $\sqrt[2]{2.0268}$ )+3

y = 6.559

so the point in the first quadrant is ( $\sqrt[2]{2.0268}$ ,6.559)

that is required

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4 years ago

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Korolek [52]

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