Answer:
Step-by-step explanation:
Before number line can be drawn, there is need to find the value of x in the inequality given. Thus,
Divide both sides by 2
The number line is indicated in the attached picture.
Answer:
12 years
Step-by-step explanation:
Represent the mother's age by m and the son's by 4. Currently m = 36 years old.
In x years the mother will be three times as old as her son:
mother: 36 + x years old
son: 4 + x years old
The pertinent equation to solve is:
36 + x = 3(4 + x)
Performing the multiplication, we get:
36 + x = 12 + 3x, or
24 = 2x. Then x = 12.
Check: In 12 years, will the mother's age be 3 times the son's age?
Does 36 + 12 = 3(4 + 12)?
Does 48 = 48? YES
The mother will be 3 times as old as her son in 12 years from now.
Answer:
x=1
Z=35.4965
assuming you want y to be the height, y=5.916
Step-by-step explanation:
x/height=height/35
35x=y^2
using Pythagorean theorem
y^2+x^2=6^2
y^2+35^2=z^2
substituting for y^2
35x+x^2=6^2
x^2+35x-36=0
(x+36)(x-1)=0
x=1
y^2+x^2=6^2
substitute
y^2+1=36
y^2=35
y=5.916
y^2+35^2=z^2
substitute
35+1225=z^2
z^2=1260
z=35.4965
Answer:
you can use a protector for finding the angles and a ruler finding the length of the lines
The value of angle Z is 30 degrees
<h3>How to determine the value of angle Z?</h3>
The given parameters are:
ABC is dilated to form XYZ
This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal
So, we have the following angle equations
A = X
B = Y
C = Z
Also, we have
A + B + C = 180
Substitute C = Z in A + B + C = 180
A + B + Z = 180
Substitute A = 45 and B = 105
So, we have:
45 + 105 + Z = 180
Evaluate the like terms
150 + Z = 180
Subtract 150 from both sides
Z = 30
Hence, the value of angle Z is 30 degrees
Read more about angles at:
brainly.com/question/25716982
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