What’s the measure of angle X?
1 answer:
Answer:
x = 84°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
129° is an exterior angle of the triangle, thus
x + 45° = 129° ( subtract 45° from both sides )
x = 84°
The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is
let h be the height of the tree, then
=
= 5 ( multiply both sides by 7 )
h = 35
The height of the tree is 35 ft
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Answer:
yes
Step-by-step explanation:
As an example
(x₁, y₁ ) = (1,2) and (x₂, y₂ ) = (5,3), then
d = =
=
=
Now let (x₁, y₁ ) = (5,3) and (x₂, y₂ ) = (1,2), then
d = =
=
=
The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
0.1x + 0.25y = 19.9 and
x + y = 100
Let x = number of dimes
y = number of quarters
After solving the above system of equations by substitution method.
y = 66
x = 34
Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
Learn more about the linear equation here:
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