Answer:
(d) -11
Step-by-step explanation:
The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)
65° +(36 +x)° = 90°
x = 90 -101 . . . . . . . . divide by °, subtract 101
x = -11
Answer:
they need to sell 32 bikes
Step-by-step explanation:
75 x 32 = 2,400
Two angles in the same parallelogram must either be equal or else add up to 180 degrees. These two are obviously not equal, so they must add up to 180.
A + B = 180
A = 180 - B (we'll use this in just a second)
A = 3B + 40
180 - B = 3B + 40
Add 'B' to each side:
180 = 4B + 40
Subtract 40 from each side:
140 = 4B
Divide each side by 4 :
<u>35 = B</u>
A = 180 - B = <u>145</u>
A)
original rectangle P = 2(w+l)
so
18 = 2(w+l) (1)
new rectangle
doubling width w, so its 2w
tripling length l, so its 3l
46 = 2(2w + 3l) (2)
now you have
18 = 2(w+l) (1)
9 = w + l so w = 9 - l
46 = 2(2w + 3l) (2)
23 = 2w + 3l
substitute w = 9 - l into 23 = 2w + 3l
23 = 2w + 3l
23 = 2(9 - l) + 3l
23 = 18 - 2l + 3 l
23 - 18 = l
5 = l or l = 5
w = 9 - l = 9 - 5 = 4
answer
original rectangle, length = 5 in and width = 4 in
b)new rectangle
length = 3l = 3(5) = 15 in
width = 2w = 2(4) = 8 in
Answer: 500m
Explanation:
If the scale of the drawing is 1:500 then the real playground should be 500:1 which is 500m
