Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
Step-by-step explanation:
According to picture 1, it is <u>A. </u><u>corresponding.</u>
Also according to picture 2, it is <u>E.</u><u> </u><u>same </u><u>side</u><u> </u><u>interior.</u>
And according to picture 3, it is <u>D.</u><u> </u><u>vertical</u>
Answer:
254.34
Step-by-step explanation:
pie (3.14...) Radius(9) 9^2=81
3.14 times 81 is 254.34
Answer:
3x + 7y = 21
Step-by-step explanation:
We have value of two points (0,3) and (7,0)
First, let's find the slope of this line. The formula for slope is:
Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)
Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0
(y₂ - y₁)/(x₂-x₁)
= (0-3)/(7-0)
=-3/7
Now we can write the equation in point-slope form:
y-y₁ = m(x-x₁)
y - 3 = -3/7(x-0)
y-3=-3x/7
y=-3x/7 + 3
Now let's convert this to standard form, by making the y-intercept by itself:
Ax + By = C
y=-3x/7 + 3
Multiply through by 7
7(y) = 7(-3x/7) + 7(3)
7y = -3x + 21
3x + 7y = 21
