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allsm [11]
3 years ago
10

15. The vertices of A DEF are D(0,0), E(0,7), and F(6,3).

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Orthocenter of a triangle with one vertex at the origin D(0,0), E(0,7), F(6,3)

The orthocenter is the meet of the altitudes.  

DE is the line x=0.  That's the y axis.  The altitude is the perpendicular through F(6,3), so is the horizontal line y=3.  

DF is the line

6y=3x

y=(1/2)x

Perpendicular through E(0,7) is

y - 7 = (-2)(x - 0)

y = -2x + 7

That's the other altitude.  Intersecting with y=3

3 = -2x + 7

-4 = -2x

x = 2

y = 3

Answer: orthocenter is (2,3)

You might be interested in
CCSS Math 7
Andre45 [30]

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

4. a=30 because 90-70

since a=30, take 90 - 30 to get b, 70

d= 70, vertically opposite angles

e = 130 because a+b+c, vertically opposite angles

7 0
2 years ago
WILL GIVE BRAINLIST
just olya [345]

Answer:

The Answer Is E, $6.75

Step-by-step explanation:

8 0
3 years ago
Megan hiked 15.12 miles in 6.3 hours. If Megan hiked the same number of miles each hour, how many miles did she hike each hour?
kifflom [539]
15.12 miles/ 6.3 hours= 2.4 miles/hour.

The final answer is 2.4 miles per hour~
8 0
3 years ago
Can someone help me with this question "Given the triangle below, what is m (angle) < B, rounded to the nearest tenth?
JulsSmile [24]
The answer
the sum of the angles in a triangle is always 180°
m < B + m < A + m < C = 180°,  
let's find m < B, 
by applying sinus rule 
 14/sinB=10/sinC, so sinB= 10xsinB = 14 x sinC and therefore, 
sinB=( 14/10 )sinC =7/2 sin 36° =0.82, so arcsinB=55.08°
the answer is C 55.4°



8 0
3 years ago
Seth traveled 1 mile in 57.1 seconds. About hos fast does Seth travel in miles per hour?
mars1129 [50]

Seth traveled 1mi/57.1s

you need to convert mi/s to mi/h

we need to found how many seconds are in an hour (3,600)

so 3,600/57.1=63.047

63.047mi/h

63mi/h (rounding)

8 0
3 years ago
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