If ABC ~ DEF what is the scale factor of abc to def

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

It might be 1/3 but I'm not 100% sure

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A parallelogram is 23 cm long and 8 cm. The slanted ends measure 9.5 cm. What is the area of the parallelogram

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3 years ago

find the equation of the line which passes through the point (-5,5) and is parallel to the given line. express your answer in sl

Softa [21]

The given equation of a line is:

$7y-14=-3(5-x)$

It is required to find the equation of a line that is parallel to this line and passes through the point (-5,5).

Recall that the equation of a line in point-slope form is given as:

$y-y_1=m(x-x_1)$

Where m is the slope of the line, and the line passes through the point (x₁,y₁).

Rewrite the given equation in the point-slope form:

$\begin{gathered} 7y-14=-3(5-x) \\ Distribute\text{ -1 into the parentheses in the right-hand side:} \\ \Rightarrow7y-14=3(-5+x) \\ \text{Rewrite the expression in the parentheses using the co}mmutative\text{ property of addition:} \\ \Rightarrow7y-14=3(x-5) \\ \text{Divide both sides of the equation by 7:} \\ \Rightarrow y-2=\frac{3}{7}(x-5) \end{gathered}$

Compare this equation with the standard point-slope form written above, it can be seen that the slope of the line is 3/7.

Recall that the slopes of parallel lines are the same or equal<em>.</em>

It follows that the slope of the required parallel line is also 3/7.

Substitute m=3/7 and the point (x₁,y₁)=(-5,5) into the point-slope form of the equation of a line:

$y-5=\frac{3}{7}(x-(-5))$

Rewrite the equation in the slope-intercept form and simplify as required:

$\begin{gathered} \Rightarrow y-5=\frac{3}{7}(x+5) \\ \Rightarrow y-5=\frac{3}{7}x+\frac{15}{7} \\ \Rightarrow y=\frac{3}{7}x+\frac{15}{7}+5 \\ \Rightarrow y=\frac{3}{7}x+\frac{50}{7} \end{gathered}$

The required equation of the line is y=3/7 x + 50/7.

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1 year ago

What are the solutions of the equation c2-10c=0

MA_775_DIABLO [31]

In this question, you are given an equation with one variable which is c. Then, it will be possible to find out the c value. Assuming the equation is c^2 - 10c = 0 then the calculation should be:

c^2 - 10c = 0
(c) (c - 10) = 0
c=0, c=10

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Answer:

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