The measures of the angles of the isosceles triangle are 55, 55 and 70.
Explanation:
An isosceles triangle has two congruent base angles and a vertex angle.
Let
b
=the measure of one of the base angles.
Let
v
=
the measure of the the vertex angle.
The vertex angle is 40 degrees less than the sum of the base angles.
v
=
b
+
b
−
40
=
2
b
−
40
The sum of the measures of the angles of a triangle is 180.
b
+
b
+
v
=
180
Substitute
2
b
−
40
for
v
.
b
+
b
+
2
b
−
40
=
180
4
b
−
40
=
180
+40+40
Combine like terms.
Add 40 to both sides.
4b=220
Divide by 4
4
b/4
=
220
/4
b
=
55
v
=
2
b
−
40
v
=
2
(
55
)
−
40
=
70
23: √6.91, √49, 15/2, 7 1/8
( i will do the rest in the comments as i finish them)
Answer:
Step-by-step explanation:
Answer:
25.63694268 = r
Step-by-step explanation:
The circumference is
C = 2*pi*r
161 = 2*(3.14) *r
161 = 6.28 r
Divide each side by 6.28
161/6.28 = r
25.63694268 = r
Answer:
11.4
Step-by-step explanation:
l²+w²=d²
81+49=130
√ 130
11.40175425099138
11.4
