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mixas84 [53]
2 years ago
7

The sum of the measures of the angles of any triangle is 180 degrees. In triangle​ ABC, angles A and B have the same​ measure, w

hile the measure of angle C is 81 degrees larger than each of A and B. What are the measures of the three​ angles?
Angle A is ____ degrees
Angle B is ____ degrees
Angle C is ____ degrees
Mathematics
1 answer:
aniked [119]2 years ago
7 0

Answer:

A=B

Hence A+81=C

Now let's rearrange:

3A=99

So A= 33

B=33

and C = 33+81= 114

Give brainlist

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Solve for x does anyone know how to do this?​
riadik2000 [5.3K]

Answer:

x = 9

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Sum the given angles and equate to 360

90 + 109 + 9x - 5 + 85 = 360, that is

9x + 279 = 360 ( subtract 279 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

6 0
2 years ago
Nancy is making lemonade for her birthday party. She made 6 batches. Each batch of lemonade uses 24 fluid ounces of lemon juice
Goryan [66]

Answer:

Step-by-step explanation:

1 Us pint = 16 Us fluid ounces

It means that 8 pints of water would be

8 × 16 = 128 fluid ounces

Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is

128 + 24 = 152 fluid ounces

Also,

1 fluid ounce = 0.125 Us cups

Therefore, the number of cups made is

152 × 0.125 = 19 cups

If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19

servings. The number of batches made is 6. Therefore, the number of servings made altogether is

6 × 19 = 114

If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is

114/2 = 57 servings

7 0
2 years ago
Manson bought 8 1/4 feet of wire. He cut off a piece of wire 3 5/12 feet long and used it for his science project. How much wire
nadezda [96]

Answer:

He has 4 10/12 wire left

Step-by-step explanation:

7 0
3 years ago
A combined total of $46,000 is invested in two bonds that pay 4% and
valkas [14]


Answer: 4%-16000 and 9.5%-30000

Why:

1) x+y=46000

x=46000-y

2) 4%x+9,5%y=3490;

4x + 9.5y=349000; so 4*(46000-y)+9.5y=349000;

5.5y=165000

y=30000

x=46000-30000=16000


5 0
3 years ago
Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation
Firdavs [7]

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

7 0
2 years ago
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