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Anuta_ua [19.1K]
3 years ago
15

2) Find the slope between the points (-2,4) and (7,3).

Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

Answer:

It would be M=-1/9

Step-by-step explanation:

You would use the slope formula:

m= y2−y1/ x2−x1

=3-4/7--2

=-1/9

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Angle FEDwith angleF=90degree, ED=36, and FE=22, calcularé the measures of the unknown angles and the unknown side length of the
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Answer:

\angle D=37.7^{\circ}

\angle E=52.3^{\circ}

FD\approx 28.5

Step-by-step explanation:

Please find the attachment.

We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.

We will use sine to solve for angle D as:

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(D)=\frac{22}{36}

D=\text{sin}^{-1}(\frac{22}{36})

D=37.66988696^{\circ}

D\approx 37.7^{\circ}

Therefore, measure of angle D is 37.7 degrees.

Now, we will find measure of angle E using angle sum property.

m\angle E+m\angle F+m\angle D=180^{\circ}

m\angle E+90^{\circ}+37.7^{\circ}=180^{\circ}

m\angle E+127.7^{\circ}=180^{\circ}

m\angle E+127.7^{\circ}-127.7^{\circ}=180^{\circ}-127.7^{\circ}

m\angle E=52.3^{\circ}

Therefore, measure of angle E is 52.3 degrees.

We will use Pythagoras theorem to solve for side FD as:

FD^2+EF^2=ED^2

FD^2+22^2=36^2

FD^2+484=1296

FD^2=1296-484

FD^2=812

FD=\sqrt{812}

FD=28.495613697\\\\FD\approx 28.5

Therefore, length of side FD is approximately 28.5 units.

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