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
You have the correct answer on your paper so you should be good if not let me know what else you need:)
The equations (-75)(-49)=3,675 the answer
Answer:
$42.83
Step-by-step explanation:
1: Subtract the amount they have by the amount they need.
1328-43= $1,285.
2: Divide amount they need ($1,285) by the total staff members (30). Hence the equation is 1285 ÷ 30
3: Whatever answer you get from that equation is the answer
1285 ÷ 30 = $42.83
When you divide, you are setting the amount each staff member needs to donate by seeing how much money 30 people can give (equally) that adds up to 1285.
Hope this helps :)
-jp524
