Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Sale price = original price - discount
discount = 44% of original price = 44% of $37 = 0.44 x 37 = $16.28
Sale price = $37 - $16.28 = $20.72
Answer:
56
Step-by-step explanation:
If the ratio of Zoe; Hannah is 3:7 and Zoe got 24 than we have to divide the 24 by 3 so we can multiply it by 7. This is because since the Zoe is the 3 and it isn't a 1 it isn't the starting point for either of the ratios we cannot multiply the 24 by 7.
24 ÷ 3 = 8
Now we multiply the 8 by 7 so that we know have many tips Hannah made
8 × 7 = 56
Hannah made 56 in tips
Answer:A. 326.53 is the
Step-by-step explanation: I don't know.
Use point slope formula y-y1=m(x-x1)
You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)
In point slope form, you have the following:
y-(-2)=-1(x-3).
To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:
y+2=-x+3
Subtract 2 from both sides to get
y=-x+1
In slope intercept form, the answer is
y=-x+1 and in point slope form, the answer is y+2=-x+3
Hope this helps!!!