All categories

3 years ago

Line HF is tangent to circle D at point E. SEgment DE is the radius of circle D, what is true about DEF?

Mathematics

2 answers:

Sati [7]3 years ago

5 0

D.angle def is an obtuse angle

ivolga24 [154]3 years ago

3 0

When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.

In other words angle DEF = 90 degrees

Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees

Therefore angle DEF = angle DEH = 90 degrees

Therefore, angle DEF is congruent to angle DEH (Option A)

You might be interested in

Finding the Range

rusak2 [61]

Answer:

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

6 0

2 years ago

Lori ran 5 1/2 km on Monday, 6 1/4 km on Tuesday, 4 1/2 km on Wednesday, and 2 3/4 km on Thursday. What is the average number of

pishuonlain [190]

The average is 4 3/4 km.

you would have to add the distance she ran for each day and then divide by the number of days she ran to find the average.

5 1/2 + 6 1/4 + 4 1/2 + 2 3/4 =19

19 (the total distance ran) divided by 4 (the number of days) = 4 3/4

8 0

3 years ago

work out the equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4

Sauron [17]

The equation of the line which passes through the point (-1, 2) and is parallel to the line y = x + 4 is y = x + 3

<h3>Solution:</h3>

Gtiven that line passes through the point (-1, 2) and parallel to line y = x + 4

We have to find the equation of line

The equation of line in slope intercept form is given as:

y = mx + c ---------- eqn 1

where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

Given equation of line is y = x + 4

On comparing the given equation of line y = x + 4 with general slope intercept form y = mx + c,

we get slope of line "m" = 1

We know that slopes of parallel lines are equal

So the slope of line parallel to line having equation y = x + 4 is also 1

Now we have to find the equation of line having slope "m" = 1 and passes through point (-1, 2)

Substitute m = 1 and (x, y) = (-1, 2) in eqn 1

2 = 1(-1) + c

2 = -1 + c

c = 3

Thus the required equation of line is:

Substitute c = 3 and m = 1 in eqn 1

y = 1x + 3

y = x + 3

Thus the required equation of line is found out

4 0

3 years ago

Need help with 9 only

stepladder [879]

9514 1404 393

Answer:

0, 4, 8

Step-by-step explanation:

As you have noticed, the difference between the end values of x is 20-4 = 16, and the differences in each interval are 4.

The difference between the end values of y is 12 -(-4) = 16, so the differences in each interval will also be 4.

The missing table values are 0, 4, 8. The completed table is ...

$\begin{array}{cccccc}x&4&8&12&16&20\\y&-4&0&4&8&12\end{array}\right]$

8 0

3 years ago

What is an easy formula for finding the total surface area of a triangular prism?

Marta_Voda [28]

First, substitute the given values into the formula. Then, multiply the sum of the triangle sides by the height of the prism (H) and add the values together for the answer, making sure to include the appropriate unit of measurement. The answer is the surface area of the above triangular prism is 486 square inches.

7 0

3 years ago