To write this expression as a positive exponent we use this rule of exponents: x^color(red)(a) = 1/x^color(red)(-a) 5^-3 = 1/5^(- -3) .
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer:
{xlx > 10}
Step-by-step explanation:
The lowest value of x is about -8, which is greater than negative 10
Answer:
As the largest side is
15
yards and smaller sides are
9
yards and
12
yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Square of largest side is
15
2
=
225
and squares of smaller two sides are
9
2
=
81
and
12
2
=
144
.
As
225
=
81
+
144
, the triangle is right angled.
Step-by-step explanation:
Answer: 2.5 is greater than x
Step-by-step explanation:
