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Semenov [28]
2 years ago
15

The difference of two complementary angles is 48. Find the measures of the two angles.

Mathematics
1 answer:
Furkat [3]2 years ago
3 0

The larger angle is 55 deg at the larger angle.

We have to know which angles are called Complementary Angles...

if we add two angles and the total will be equal to 90 deg

let's say one angle is x and  another angle is  y

as they are complementary angles from the definition we can write the equation x + y =  90

one angle is 20 deg more  than another one  so from the above condition  we write x = 20 + y

Substitute the value of x  in the first eaquation we get, 20 + y + y =  90

Then,  20 + 2y =  90

subtracting 20 from both sides,

 2y  =  90-20 = 70  

 dividing both sides by 2,

2y/ 2 = 70 / 2

 y  =  35

 So we got one angle is 35 deg

another angle is  35 + 20 = 55 deg.

Our answer is 55 deg the larger angle.

To learn more about the measure angle visit:

brainly.com/question/25716982

#SPJ1

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Use the grid to draw a rectangle with an area of 1,125 square units ad a side of 25 units
guajiro [1.7K]

Answer:

For grid, Please see attachment area of rectangle.

Explanation:

We are given the area of rectangle is 1,125 square unit whose one side is 25 units.

As we know the formula of area of rectangle =Length \times Width

Let 25 units is width of rectangle

Area = 1,125

\therefore Length=\frac{1125}{25}=45 units

Dimension of rectangle 45 x 25.

Now we draw the grid graph of rectangle.

First we take a grid paper with 1 square unit area of each box. Now we draw line with 45 unit horizontal(Length) and 25 unit vertical (Width).

We make a closed figure with four line opposite side equal and parallel.

Inside box, total number of box must be 1,125 because area of 1 small box 1 square unit.

Total area of all box = 1,125 x 1  = 1,125 square units.

6 0
3 years ago
A bag contains 10 marbles,7 of which are black and 3 are red.three marbles are drawn at one after the other.find the probability
S_A_V [24]
<h3>Answer:  17/24</h3>

==========================================================

Explanation:

We have these four cases or possible outcomes

  • Case 1) We select 0 black marbles and 3 red marbles.
  • Case 2) We select 1 black marble and 2 red marbles.
  • Case 3) We select 2 black marbles and 1 red marble.
  • Case 4) We select 3 black marbles and 0 red marbles.

Let's calculate the probability for case 4.

There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.

The probability of getting 3 black marbles in a row is

(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.

That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).

Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".

So that's why the answer is 17/24.

8 0
3 years ago
Commemorative coins come in packs of 15,while coin holders come in packs of 25. What are the least numbers of packs you should b
kozerog [31]
The least common multiple of 25 and 15 is 75. You'd do _ x 25 = 75 and _ x 15 = 75. The answer would be 3 and 5, so 5 packs of coins and 3 packs of coin holders.
7 0
3 years ago
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If one serving of punch is 250 ml will ten servings fit in a two liter bowl
Aneli [31]
2 literally is 2000ml so if 1 serving is 250ml then ten servings of 250ml would equal 2500ml.

This means that no, 10 servings measuring 250ml each will not fit in a 2 literally bowl because it exceeds 2000ml which equals 2 litters meaning that 500ml of the 2500ml will not fit in the 2 literally bowl.
3 0
3 years ago
Consider a single spin of the spinner.
Nitella [24]

Answer:

landing on a shaded portion and landing on an even number ; landing on a shaded portion and landing on a number greater than 3 ; landing on an unshaded portion and landing on an odd number ; and landing on an unshaded portion and landing on a number less than 2.

Explanation:

Mutually exclusive events are events that cannot occur at the same time.  Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.

This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.

The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.

The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.

The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.

5 0
4 years ago
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