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2 years ago

the ratio of the measures of the three angles in a triangle is 10:3:7 find the measure of the largest angle

Mathematics

1 answer:

UNO [17]2 years ago

6 0

Answer:

The largest angle is 90 degrees

Step-by-step explanation:

The three angles of a triangle add to 180

The ratio is 10 : 3: 7

Multiply each by x

10x, 3x 7x

Add them together and set equal to 180

10x+3x+7x = 180

Combine like terms

20x = 180

Divide by 20

20x/20x =180/20

x = 9

The largest angle is 10x

10*9 = 90

The largest angle is 90 degrees

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7. The following clues are given about a bucket of bubble gum.

scZoUnD [109]

There were 472 pieces of bubble gum in the bucket

Step-by-step explanation:

The following clues are given about a bucket of bubble gum

1. There are between 400 - 500 pieces of gum in the bucket

2. The bubble gum was purchased in 4 equally-sized bags

3. The product of all the digits is 56

Let us explain how to solve the problem

∵ The number of the pieces of gum is between 400 and 500

∴ The number of pieces is 3-digit number and its hundred digit is 4

∵ The product of all digits is 56

∵ One of the digit is 4

∵ 56 ÷ 4 = 14

∴ The product of the ten digit and the one digit is 14

∵ 14 = 2 × 7

∴ The ten digit and the one digit are 2 and 7 or 7 and 2

- If the ten digit is 2 and the one digit is 7

∴ The number of pieces is 427

∵ The bubble gum was purchased in 4 equally-sized bags

- That means there were 4 pieces of bubble gum in each bag

∴ The number of pieces must divisible by 4

- The number is divisible by 4 if it is an even number and the number

formed from the ten digit and one digit is divisible by 4

∵ 427 is an odd number

∴ 427 not divisible by 4

- If the ten digit is 7 and the one digit is 2

∴ The number of pieces is 472

∵ 472 is an even number

∵ 72 divisible by 4

∴ 472 is divisible by 4

∴ There are 472 pieces of gum in the bucket

There were 472 pieces of bubble gum in the bucket

Learn more:

You can learn more about digits in brainly.com/question/547255

#LearnwithBrainly

7 0

3 years ago

Jamar's teacher told him that one of the reasons he gave on the proof below was incorrect. Which reason did he make the mistake

Kamila [148]

Answer:

Reason given in step 2. is incorrect. It should read; "Distributive Property."

Step-by-step explanation:

The reason given to go from :

2 (3x +4) = 56 to 6x + 8 = 56

is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.

8 0

3 years ago

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

VladimirAG [237]

Answer:

Step-by-step explanation:

It is 18 because 14 x 2 equal 28 so that would mean you need one stick to make 2 pizzas. Then you divide 36 by 2 and get 18

4 0

3 years ago

If a+b=9 and ab=18,find the value of a and b.

Blizzard [7]

Answer:

Given:

a + b = 9

=> a = 9 - b

Given:

a x b = 18

=> (9 - b) x b = 18

=> 9b - b^2 = 18

=> b^2 - 9b + 18 = 0

=> (b - 3)(b - 6) = 0

=> b = 3 => a = 6

=> b = 6 => a = 3

Hope this helps

3 0

3 years ago

Please help with this algebra question

zhenek [66]

We have
-2x-3y <12
For this case what you should do is to graph the following straight line:
-2x-3y = 12
Then, the solution will be the shaded region that satisfies the following inequality:
-2x-3y <12
In the shaded region you will find all the solution points.
Answer:
See attached image

7 0

3 years ago