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
{ 2 x + 4 y = 12
y = 0.25 x -3
Arrange equation variables of elimination :
{ 2 x + 4 y = 12
-0.25 x + y = - 3
Multiply ( -0.25 x +y = - 3 ) by 8 :
8y - 2 x = - 24
{ 2 x + 4y = 12
-2x + 8y = -24
----------------------
12 y = -12
y = - 12 / 12
y = - 1
For x :
2 x + 4y = 12
2 x + 4 ( - 1 ) = 12
2 x - 4 = 12
2 x = 12 + 4
2 x = 16
x = 16 / 2
x = 8
x = 8 and y = - 1 => ( 8 , - 1 )
Answer b
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Answer:
C. 30°
Step-by-step explanation:
Answer:
Sale price of the case of soda $
9.60
Step-by-step explanation:
Sale price =
$
12
−
$
2.40
=
$
9.60
