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Gnesinka [82]
3 years ago
11

Find the measure of each complementary angles with measure 4x and 5x - 18 degrees

Mathematics
1 answer:
TEA [102]3 years ago
8 0
Hello : 
sum of complementary angles is : 90°
(4x)°+( 5x - 18)° = 90°
(9x)° = 108° 
x° = 12°
the angles are : 48° and : 42° ( subsct x= 12° in (4x)° ,  ( 5x - 18)° )
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(15-26)/3 + (-8+19)/2
Gre4nikov [31]

Answer:

11/6

Step-by-step explanation:

(15-26)/3 + (-8+19)/2

Do parentheses:

-11/3 + 11/2

Find the common denominator:

-11(2)/3(2) + 11(3)/2(3)

Multiply:

-22/6 + 33/6

Add the fractions:

11/6

7 0
3 years ago
Read 2 more answers
What is the area, in square inches, of the isosceles trapezoid below?
zimovet [89]

Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

      Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

6 0
3 years ago
Describe the center and spread of the data using either the mean and standard deviation or the five-number summary. Justify your
goblinko [34]

Answer:

The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25

Step-by-step explanation:

In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.

8 0
3 years ago
I need some help quickly only til 12:00 AM CST
wel

Answer:

First statement correct

Second statement not correct

You did it correctly though

Step-by-step explanation:

Since the lines have have same slope they would be parallel lines and never intersect each other hence inconsistent solution hence the first statement is correct.

A system of linear equations in which the two equations represent the  same line; there are an infinite number of solutions to a dependent system, but these lines don't overlap each other hence no infinitely many solution thus not a dependent system and hence not correct

4 0
3 years ago
Blake and Ned work for home remodeling business they are putting the final touches on a home they renovated. working alone Blake
stiks02 [169]

Answer:

3.6 hours

Step-by-step explanation:

Blake can do work in hours = 9

Blake can do a part of work in 1 hour = \frac{1}{9}

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = \frac{1}{6}

They can do a part of work together in 1 hour =  \frac{1}{9}+\frac{1}{6}

                                                                           =  \frac{5}{18}  

Now they can do \frac{5}{18}  part of work in hour = 1

So, they can do whole work in hours =  \frac{1}{\frac{5}{18}}

                                                             =  3.6

Hence it will take 3.6 hours to paint the room if they work together.

6 0
3 years ago
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