Answer:
141 square inches
Step-by-step explanation:
Area of a triangle: Base*Height*1/2
Area of a trapezoid: Height * (Base1 +Base2) / 2
Triangle Base = 6
Triangle Height = 8
6*8*1/2 = 24 square inches
Trapezoid Height = 9
Trapezoid Base1 = 16
Trapezoid Base2 = 10
9*(16+10) / 2 = 117 square inches
Total = Area of triangle + Area of trapezoid
Total = 24 + 117 = 141 square inches
X + x+1 + x+2 + x+3 + x+4 = 110
5x +10 = 110
5x = 100
x = 20
The numbers are
20 21 22 23 and 24
Answer:
12
Step-by-step explanation:
So, she practices 12 hrs per week, and already has practiced 3 hrs this week.
This means she has 9 hrs left to practice.
3/4 of an hour is one session, so to find out the number of sessions she needs, you have to do (9 hours)/(one session)
which is basically 9 / ( 3/4)
She needs 12 more sessions.
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Answer:
x = 80
Step-by-step explanation:
Thank you for the clear diagram. We don't always get them.
Argument
There are two kinds of angles associated with a triangle
- Interior angles
- Exterior angles
You have both kinds in this question. The interior angles are the ones that make up the triangle itself. The ones you are concerned about are x and 38°.
The other kind is formed by extending one of the sides. In this question, the value of the exterior angle is 118°.
Rule
The two interior angles NOT connected to the given exterior angle are equal (when added) to the exterior angle.
In plain English what that means is
x + 38 = 118
Solution
x + 38 = 118 Subtract 38 from both sides.
x + 38 - 38 = 118 - 38
x = 80
So x = 80
