Supplementary angles are angles that add up to 180 degrees.
180 = 3x + 4 + 8x + 11
Combine like terms.
180 = 11x + 15
Subtract 15 from both sides.
165 = 11x
Divide both sides by 11
15 = x
m<ABC = 3x + 4 = 3(15) + 4 = 45 + 4 = 49 degrees.
Answer:
6c^2-cd-d^2
Step-by-step explanation:
How you get the answer is you use the process called FOIL. The F is front, so you multiply the 2c and the 3c to get 6c^2. The O is the outer, so you multiply the 2c and the d(because they are on the outer sides of the parenthesis) to get 2cd. The I is the inner, so you multiply the -d and the 3c(because they are on the inner sides of the parenthesis) to get -3cd. The L is the last, so you multiply d and -d to get -d^2. The 2cd and the -3cd are the same so you have to minus them to get -cd. So the answer is:
6c^2-cd-d^2.
Answer:
4.75 Qt = 152 Fl. Oz.
Step-by-step explanation:
1 Quart = 32 Fluid Ounce
4.75 Qt = 32 × 4.75 Fl. Oz.
4.75 Qt = 152 Fl. Oz.
Answer:
x=1 y=2
Step-by-step explanation:
Isolate x for 4x -y=2: X=2+y/4
Substitute x= 2+y/4
(2+y/4 )+3y=7
simplify 2+13y/4=7
Isolate y for 2+13y/4=7
y=2
Forx= 2+y/4
Substitute y = 2
x= 2+2/4
Simplify
X=1
The number of the cupcakes sold that day that were vanilla flavored is 172.
<h3>How do we calculate a number from a percentage?</h3>
The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:
Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)
Substituting the relevant values into equation (1), we have:
Number of vanilla flavored cupcakes sold = 400 * 43% = 172
Learn more about percentages here: brainly.com/question/14801224.
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