Answer:
m∠B = 110°
Step-by-step explanation:
We know that,
The sum of the measures of the angles in a pentagon is 540°.
So, we get,
130 + (x-5) + (x+30) + 75 + (x-35) = 540
i.e. 3x + (130+30+75) - (5+35) = 540
i.e. 3x + 235 - 40 = 540
i.e. 3x + 195 = 540
i.e. 3x = 540 - 195
i.e. 3x = 345
i.e. x= 115°
Now, as m∠B = (x-5)° = (115-5)° = 110°
Hence, the measure of angle B is 110°.
a composit figure is made up of two figures
Answer:
The picture is 4.25 inches from the side of the paper
Step-by-step explanation:
- Taylor wants to center a 3.5 inch picture on a piece of paper that is
12 inches wide
- Lets think about that he want to put the picture in the center of the
paper, then divide the length of the paper into two equal parts and the
picture into two equal part
∵ The width of the paper is 12 inches
∵ 12 ÷ 2 = 6 inches
∵ The width of the picture is 3.5 inches
∵ 3.5 ÷ 2 = 1.75
- Now lets subtract from 6 inches (half paper) 1.75 inches (half picture)
to find the distance between the side of the paper and the picture
∵ 6 - 1.75 = 4.25
∴ The distance from the side of the paper to the picture is 4.25 inches
* <em>The picture is 4.25 inches from the side of the paper</em>
* Look to attached figure for more understand
Answer:
D
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ BCD is an exterior angle of the triangle, thus
∠ BCD = 50° + 60 = 110° → D