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ch4aika [34]
3 years ago
12

ABCD is a rectangle.Work out the angle 'a' in each diagram.Help please!!

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
Top one: Since corners of rectangles are 90 degrees, angle ABD would be 28 degrees, and angle CBE would be 41 degrees. Subtract 90 by both numbers, and the answer is 21.

Bottom one: With the same logic, angle ADE would be 38 degrees, and angle CDB would be 35. Because of that, angle a is 55 degrees (90-35=55)
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Which of the following expressions is equivalent to -5.4 - (2.1 + 1.8)?
Leno4ka [110]
-5.4 - (2.1 + 1.8)=-9.3

So I would say A. Thanks for asking your question today and have a good day on Brainly.com! :)
4 0
3 years ago
A pile of coins, consisting of quarters and half dollars, is worth $11.75. If there are 2 more quarters than half dollars, how m
Black_prince [1.1K]

The pile contains 17 quarters and 15 half-dollars.

Let <em>x</em> = the number of quarters and <em>y</em> = the number of half-dollars.

We have two equations:

(1) $0.25<em>x</em> + $0.50<em>y</em>  = $11.75

(2) <em>x</em> = <em>y</em> +2

Substitute the value of <em>x</em> from Equation (2) into Equation (1).

0.25(<em>y</em>+2) + 0.50<em>y</em> = 11.75

0.25<em>y</em> + 0.50 + 0.50<em>y</em> = 11.75

0.75<em>y</em> = 11.75 – 0.50 = 11.25

<em>y</em> = 11.25/0.75 = 15

Substitute the value of <em>y</em> in Equation (2).

<em>x</em> = 15 + 2 = 17

The pile contains 17 quarters and 15 half-dollars.

<em>Check</em>: 17×$0.25 + 15×$0.50 = $4.25 + $7.50 = $11.75.

4 0
3 years ago
The mean of the data set shown in the table is 57. What is the mean absolute deviation?
MAXImum [283]
Is there a picture of the data set? I cannot give you an exact answer without the actual data values, but I can explain how to solve it.
The mean absolute deviation basically tells the average of how much each data value deviates from the mean of the entire data set. Therefore you just find the difference between each value in the data set and 57. Then you take all the differences and find the average by adding them all up and dividing by the number of values.
4 0
2 years ago
Read 2 more answers
Please help. i will kiss u
kenny6666 [7]

Answer:

The area of the figure is 7.5 units^2.

Step-by-step explanation:

In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3 units^2. The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5

4 0
3 years ago
20 POINTS!! ASAP! PLS SHOW WORK!! TYY
astra-53 [7]

Step-by-step explanation:

<u>From the figure</u> :

Cos 57° = 19.3 / AB

AB = 19.3 / 0.54

<u>AB = 35.74 cm</u>

7 0
3 years ago
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