Hey. Let me help you on this one.
In order for us to solve this problem, we will be needing to find both length and width of the triangle on this coordinate plane. We will also need to know how to use the triangle area formula.
I will be attaching an image containing the shown difference between a rectangle, and a triangle, and on how to understand why the area of a triangle is like this.
First of all, let's find the length of the triangle. It's 11 units, and we can determine that by counting up all of the units, or simply finding the difference between x-point 13 and 2, which is going to be 11.
Same applies to the width of the triangle. We will need to either count up all the units individually, or find a difference between a higher y-point and lower y-point. That difference is going to 5 units, since

.
Now, let's use the formula for the triangle area and substitute the values.



Answer: Area of the triangle on the coordinate plane is 27.5 units squared.
9514 1404 393
Answer:
- same-side interior
- (3x +4) +(2x +11) = 180
- 77°
Step-by-step explanation:
Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.
__
Because the angles are supplementary, their sum is 180°. So, the equation ...
(3x +4)° +(2x +11)° = 180°
can be used to solve for x. Likewise, any of the possible simplifications of this can be use:
(3x +4) +(2x +11) = 180 . . . . . divide by degrees
5x +15 = 180 . . . . . . . . . . . collect terms
5x = 165 . . . . . . . . . . . . . subtract 15
x = 33 . . . . . . . . . . . . . . divide by 5
__
Once we know that x=33, then the measure of angle 5 is found from its expression:
m∠5 = (2x +11)° = (2·33 +11)°
m∠5 = 77°
Answer:
The missing side is 18 inches
Step-by-step explanation:
Since in the smaller rectangle the sides are 2.5in x 6in and one side for the larger rectangle is given, you can make an equation.

Then you can cross multiply.
2.5x=45
Divide by 2.5 on both sides.
x= 18