Answer:
A. Point H is the center of the circle that passes through points D, E, and F.
C. Line segment H E is-congruent-to line segment H D
Step-by-step explanation:
The center of a circle is a point within it that has the same distance to all other points on its circumference.
Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.
It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.
The correct options in the given question are: A and C.
When Paolo tried to simplify 5 - 7 at Step 2, instead of keeping the sign of the answer, -2, he added it. He really should have written 3 - 2.
Answer:
The speed of jimmy = 1 mile /hour .
Step-by-step explanation:
Distance traveled by jimmy = 2/9 miles
Time taken = 2/9
Speed = distance / time = 1 mile/ hour
Answer:
1. x = 1, y = -3
2. x = 3, y = 4
Step-by-step explanation:
Here, we want to solve the sets of simultaneous equations;
a) -y = 5x-2
-3y = -5x + 14
substitute 1 into ii
3(5x-2) = -5x + 14
15x - 6 = -5x + 14
15x + 5x = 14 + 6
20x = 20
x = 20/20
x = 1
from;
-y = 5x - 2
y = -5x + 2
y = -5(1) + 2
y = -3
b) -2y = -6x + 10
2y = x + 5
Substitute ii into i
-(x + 5) = -6x + 10
-x - 5 = -6x + 10
-x + 6x = 10 + 5
5x = 15
x = 15/5
x = 3
2y = x + 5
2y = 3 + 5
2y = 8
y = 8/2
y = 4
your answer is 39.
First you would add 7 and 2 to get 9. From there you would get the equation 3x/9=13.
Then you would multiple by the reciprocal, or 9/1 to cancel out 3x/9.
Then u multiply 9×13 because what u do to one side you have to do to the other.
Your equation should now say 3x=117.
Finally divide by 3 to solve for x.
X=39.
