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Sergio039 [100]
3 years ago
8

In the following figure find a deg,2adeg and bdeg

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
From the figure. a and b are equal because the lines are parallel. The jargon is alternate interior angles are equal.

The two remote interior angles are equal to the exterior angle. That interprets to
b + 2a = 84o But b = a
a + 2a = 84o
3a = 84
a = 84/3
a = 28 <<<< answer
b = 28 <<<< answer
2a = 56 <<<< answer.


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10.56 is greater or 10.65
kiruha [24]
Of coz 10.65 is greather because the number after the point was clearly showed it is big number
6 0
3 years ago
If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

For maximum volume

\frac{dV}{dA} =0

\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

Volume of the box

= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

= 7969 cubic centimeter

3 0
3 years ago
Several students were asked how many blocks they walk from home to school each day. The results are shown in the line plot. How
serious [3.7K]

Answer:

25 students.

Step-by-step explanation:

A line plot is a simple graph that shows relationship among the values in a data using a number line.

From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.

It can be deduced from the line plot that;

Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.

So that;

1 + 2 + 8 + 5 + 5 + 4 = 25

Therefore, the number of students who took part in the survey is 25.

4 0
3 years ago
Which of the following functions is equivalent to the function below? Select two that apply.
Aliun [14]
Can sum1 answer this question cause I also need help on this
7 0
3 years ago
One of two complementary angles measures 30 degrees more than three times the other. Find each angle.
Leviafan [203]

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/573382
  • brainly.com/question/570997

#LearnwithBrainly

7 0
3 years ago
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