PLEASE HELP FOR 15 Points!!!! THE GRAPH IS IN ONE OF MY QUESTIONS

Mathematics

1 answer:

zavuch27 [327]2 years ago

6 0

Answer:

m<1= 90°

m<2= 58°

3<= 32°

Step-by-step explanation:

The angles are congruent angles.

You might be interested in

Watermelons cost $0.35 per pound. Joseph’s watermelon costs between $4.20 and $5.25. Which compound inequality correctly represe

Ahat [919]

Working is attached :)

4 0

2 years ago

If this angle is 1/6 of a rotation about a circle, then<br> its measure is

Nezavi [6.7K]

Answer:

60 degrees.

Step-by-step explanation:

A full rotation is 360 degrees.

So 1/6 is 360 * 1/6 = 60 degrees.

4 0

2 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.