He answered .85, 85% or 17/20 correct on the test.
Answer:
12.22
Step-by-step explanation:
To find HI, you have to use tangent. tanx=
tan(42°)=
, then you multiply HI to both sides of equation and divide tan(42).
To get <em>HI</em>=
Which makes HI equal 12.2167
Answer:
Second option: (-2,-3) and (1,0)
Step-by-step explanation:
Given the system of equations
, you can rewrite them in this form:

Simplify:
Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

Substitute each value of "x" into any of the original equation to find the values of "y":

Then, the solutions are:
(-2,-3) and (1,0)
Answer:
m<FAB = 75°
m<BAC = 105°
Step-by-step explanation:
First, find the value of x.
(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)
Solve for x
13x - 3 = 3x + 2 + 55
13x - 3 = 3x + 57
Collect like terms
13x - 3x = 57 + 3
10x = 60
Divide both sides by 10
x = 6
✔️m<FAB = 13x - 3
Plug in the value of x
m<FAB = 13(6) - 3 = 78 - 3
m<FAB = 75°
✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)
m<BAC = 180 - 75 (substitution)
m<BAC = 105°