(7 and 7/16) is the simplest form.
Answer:
A: 180° B: 360° C: 540°
Step-by-step explanation:
A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.
B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into <u>two triangles</u> we have to do: 180x2 which is 360°.
C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.
Answer: l = 60 ft and w = 30 ft
P = 2(l + w)
180 = 2(l + w)
Let x = width of his yard
Let 2x = length of his yard





l = 2x = 30(2) = 60 ft
Check:
180 = 2(l + w)
180 = 2(60 + 30)
180 = 2(90)
180 = 180
LS = RS
Answer:
Step-by-step explanation:
a. We know that KH is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:

Hence, the angle a is equal to 180°
b.We know that GJ is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:

Hence, the angle b is equal to 35°
Answer:
13/4
Step-by-step explanation:
Convert these numbers to a mixed fraction.
-5 3/4 => -23/4
-2 1/2 => -5/2
Make them have a common denominator
-5/2 => -10/4
-23/4 can stay the same.
To find the distance between the two numbers, subtract the lesser value from the greater value.
-23/4 is <u>less</u> than -10/4.
(-10 - (-23)) /4
= 13/4
Therefore the distance between -2 1/2 and -5 3/4 on a number line is 13/4.