Answer:
x = 4
Step-by-step explanation:
3x + 2y = 26
y = x + 3
Plug in the equation for y
3x + 2(x + 3) = 26
Multiply the 2 with what is in the parantheses
3x + 2x + 6 = 26
Combine like terms and solve for x
5x + 6 = 26
5x = 20
x = 4
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and 
(Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],
Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
Answer:
D) bx - a
Step-by-step explanation:
If a/b is a zero, then (x -a/b) is a factor of the polynomial. That is, the value x=a/b will make a factor of the polynomial be zero.
The above factor can be written without fractions by multiplying it by b:
(bx -a) . . . . matches choice D
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You can also choose the answer on the basis of which expression becomes zero when x=a/b.
From my understanding your asking what 20% of $48 is.
in that case it would be $9.60
Answer:
Step-by-step explanation:
4 g.
c=42
a=b=d
a+b+42=180
a+a=180-42
2a=138
a=138/2=69
a=69
b=69
c=42
d=69
5a.
a=30
angle O=180-(a+30)=180-(30+30)=180-60=120°
d=80
angle O=180-(d+80))=180-(80+80)=180-160=20°
central angle O of middle triangle=180-(120+20)=180-140=40°
b=c
b+c+40=180
b+b=180-40
2b=140
b=140/2=70
b=70°
c=70°
