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Darya [45]
3 years ago
13

Define Complementary and Supplementary Angles.

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

Complementary angles: the angles whose sum is 90° are called complementary angles.

Supplementary angles: the angles whose sum is 180° are called supplementary angles.

Step-by-step explanation:

hope it might help....

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3 years ago
Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar.
sergey [27]

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as J

The number of orders served by Kareem can be designated as K

The number of orders served by Lamar can be designated as L

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

J+K+L=64

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, J, being equal to Lamar's orders L minus 8.

J = L-8

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, K, being 2 times Lamar's orders L.

K = 2L

With these 2 equalities, we can substitute J and K in our original equation,

J+K+L=64

with their values expressed as a subtraction or multiplication of L.

J will be substituted with L-8, and K will be substituted with 2L.

J+K+L=64

With substitutions:

(L-8) + 2L + L = 64

We can simplify this by combining the L-terms:

L + 2L + L -8 = 64\\4L - 8 = 64

Next, we'll add 8 to both sides.

4L = 72

Divide both sides by 4:

L = 18

Thus, Lamar served 18 orders.

Using our expressions, we can find how many orders the others served.

Jessica:

J = L-8\\J = 18 -8\\J = 10

Jessica served 10 orders.

Kareem:

K = 2L\\K = 2*18\\K = 36

Kareem served 36 orders.

4 0
3 years ago
lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies. She then had 3/7 of the co
guapka [62]

Answer:

At the beginning, there were 2,678.26 grams of sugar in the container.

Step-by-step explanation:

Since Lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies, and she then had 3/7 of the container of sugar left, to determine how much sugar was in the container at first, the following calculation must be performed:

880 + 1 / 10X = 3 / 7X

880 + 0.1X = 0.4285X

880 = 0.4285X - 0.1X

880 = 0.3285X

880 / 0.3285 = X

2,678.26 = X

Therefore, at the beginning there were 2,678.26 grams of sugar in the container.

3 0
2 years ago
The most important component of a physical structure is a solid foundation on which the rest of the structure sits. a strong fou
eduard

The foundational concept of algebra is to use the alphabetical letters to find the unknown number.

Algebra is the concept that uses the alphabetical letters such as x, y, z, etc. to calculate the unknow numbers. here the letters are also called as variables. The values that are known in the expression as termed as constants.

The general operations performed on the algebra is

  • Addition = x + y
  • Subtraction = x - y
  • Multiplication = x * y
  • Division = x / y

Here the alphabets x and y are called variables.

Order of operations:

The order of operation in algebra is given as follows

  • Perform all the operations inside the brackets
  • Perform the operations on roots and exponents
  • Perform all the division and multiplication operations moving from left to right
  • Perform all the addition and subtraction operations from left to right.

To know mire about Algebra here

brainly.com/question/953809

#SPJ4

7 0
1 year ago
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