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Mrac [35]
3 years ago
9

Show all work. what is the measure in degrees of angle A?

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

∠ A = 62°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

116° is an exterior angle of the triangle, then

3x - 13 + 2x + 4 = 116

5x - 9 = 116 ( add 9 to both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Then

∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°

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A square garden plot measures 44 yards on each side. What is the length of the diagonal of this plot?
gogolik [260]

Answer:

  44√2 yards ≈ 62.23 yards

Step-by-step explanation:

You can uses the Pythagorean theorem to find the length of the diagonal. It is the hypotenuse of a right triangle with side lengths of 44 yards. Then the diagonal measure is ...

  d = √(44² +44²) = √(44² × 2) = 44√2

The length of the diagonal of the plot is 44√2 yards, about 62.23 yards.

8 0
4 years ago
The curved sides of large storage tanks at a refinery need to be painted. What is the approximate area of each tank that will be
Gnesinka [82]
Correct Answer is D. 2,287 ft
3 0
2 years ago
The point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1
zhenek [66]

Answer:

Step-by-step explanation:

Equation of line is y = mx + b

m is the slope = -2

b is the y intercept = -1

:- y = -2x - 1

5 0
3 years ago
A blue whale calf weighed 2725 kilograms at birth. A blue whale calf gains 90 kilograms of weight each day for the first 240 day
Ivanshal [37]

Answer:the weight after 225 days is

22885 kilograms

Step-by-step explanation:

The initial weight of the blue whale calf at birth is 2725 kilograms. blue whale calf gains 90 kilograms of weight each day for the first 240 days after its birth. The weight increases in arithmetic progression. This means that the first term of the sequence, a is 2725, the common difference, d is 90.

The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

n is the number of terms of the sequence.

a is the first term

d is the common difference

We want to determine its weight, T225 after 225 days after it’s birth. It means that n = 225

Therefore

T225 = 2725 + (225 - 1)90

T225 = 2725 + 224×90 = 2725 + 20160

T225 = 22885

8 0
3 years ago
Suppose you have 15 muffins. How many muffins ate left after you give a friend 1/3 of them
Verdich [7]

Answer:

10 muffins

Step-by-step explanation:

If you give away 1/3 of your muffins

1/3 * 15 = 5

You will give away 5 muffins

15 -5 =10

You will have 10 muffins left


3 0
3 years ago
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