Supplementary means they equal 180 when added. Therefore:
X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31
Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149
The larger angle is 149 degrees.
I hope this Helps!
Answer:
Measure of arc AE = 58°
Step-by-step explanation:
As shown: ABCD is a quadrilateral, ∠C = 119°
So, ∠C + ∠A = 180°
∴ ∠A = 180° - ∠C = 180° - 119° = 61°
ΔAGB is a right triangle at G
So, ∠A + ∠B = 90°
∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°
Arc AE opposite to the angle ∠ABG
So, measure of arc AE = 2∠ABG = 2 * 29° = 58°
Answer:
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
Step-by-step explanation:
Let the number of rainbow sticker be x and number of balloon stickers be y.
Cost a single rainbow sticker= 6 cents
Cost a single balloon sticker= 4 cents
Cost a single x rainbow sticker= 6 cents × x
Cost a single y balloon sticker= 4 cents × y
Total number of stickers bought = 14
x + y =14 ..[1]
Total money spend on stickers = 68 cents
6x cents+4y cents=68 cents
...[2]
Putting value of from [1] into [2];
x = 14 - y




x = 14 -y =14 - 8 = 6
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
Answer:
Ratio
Step-by-step explanation: