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3 years ago

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DESPERATE, PLEASE HELP!! Triangle ABC and Triangle PQR are similar. Triangle ABC is dilated by a scale factor of 1.25 and rotate

d 45 degrees counterclockwise about point B to form triangle PQR. The side lengths of triangle ABC are line AB, 5 units; line BC 4.2 units; and line AC 4 units. Match each side of triangle PQR to its length. CHOICES 5.25 units, 5 units, 6.25 units match which side PQ, QR, and PR

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

PQ = 1.25 * AB = 1.25 * 5 = 6.25

QR = 5,25 and PQ = 5 units

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

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r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

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To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

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Question 15 of 20

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Step-by-step explanation:

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2 years ago

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Start by writing the system down, I will use $y$ to represent $f(x)$

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Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

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To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

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2 years ago