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
The larger number is 10 - x.
2(10 - x) - (-20)
20 - 2x + 20
40 - 2x
If I understand the drawing correctly than yes, because
6 9/12 + 6 9/12 = 12 and 18/12 = 13 and 6/12 or 13 and 1/2.
13 1/2 + 4 8/12 = 13 6/12 + 4 8/12 = 17 and 14/12 = 18 2/12 or 18 and 1/6.
Answer:
the five differences are 24.88
Answer:
The measure of the angles are 40 degrees and 50 degrees
Step-by-step explanation:
Let
x ----> the measure of one angle in degrees
y ----> the measure of the complementary angle in degrees
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
----> equation A
we have that
----> equation B
Substitute equation B in equation A and solve for y

Find the value of x

therefore
The measure of the angles are 40 degrees and 50 degrees