Answer:
angle BAC = 116
Step-by-step explanation:
since the triangle is isosceles and AB and AC are congruent, that means angle ABC and angle ACB are the same by the isosceles triangle theorem. so you know angle ABC and angle ACB are 32 and all angles in a triangle equal to 180. so you find angle BAC subtracting both of the 32 angles from 180 and you should get 116
Simply then you get your answer
Answer:
<em>150 miles</em>
Step-by-step explanation:
Given the scale on the map using the conversion factor
1 inch = 50 miles
We are to find the equivalent miles between the cities in miles if the distace is 3inches
3inches = x
Divide both expressions
1/3 = 50/x
Cross multiply
x = 3 * 50
x = 150
<em>Hence the actual distance between these two cities in miles is 150 miles </em>
First, we will find the value of k
We can do this by sybstituting y=24, x=6 in;
y=kx and then solve for k
24= k(6)
divide both-side of the equation by 6
24/6 = k
4 = k
k=4
Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y
y= (4)(5)
y = 20
Answer:
The vertex is (6,-5)
the axis of symmetry is x = 6