Simplify the expression. (1)/(2)(-(5)/(6)+(1)/(3))

Answer:

a) a + c = 90

d) a + b + c + 30 = 180

e) The angles marked a and b are vertical

f) The angles marked a and c are complementary.

Step-by-step explanation:

A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

Answer:

x = 52

Step-by-step explanation:

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

x+72 = 34+90

x +72 =124

Subtract 72 from each side

x = 124-72

x =52

Answer:

x = 52 degrees

Step-by-step explanation:

Let's first focus on the angle x + 72.  Immediately adjacent to x + 72 is angle RQS.  These two angles are "straight" in that they lie immediately adjacent to one another and add up to 180 degrees.  Then angle RQS can be expressed as

180 degrees - (x + 72 degrees), or 108 - x degrees.

The three interior angles of the triangle must add up to 180 degrees.  Hence

108 - x degrees + 34 degrees + 90 degrees = 180 degrees, and so:

108 - x + 34 = 90

This yields x = 52 degrees.

Answer:

He should have multiplied 15 tsp by 1 tbsp/3tsp.

Step-by-step explanation:

The tsp labels cancel each other out when one is the numerator and one is the denominator.

15tsp x 1 tbsp/3tsp = 15/3 = 5 tbsp

Answer:

12

Step-by-step explanation:

We know that Tyler's chest has a length of 30 inches, width of 16, and a height of 24 inches. To find the volume of the chest, multiply the length by width by height: 24*30*16 = 11,520 in^3 The volume is 11,520.

Juliet's chest will Have a length of 40 inches and the same height as Tyler's chest, or 24 inches. It also has the same volume of Tyler's chest, or 11,520

So Tyler's chest is 24 by 30 by 16 inches, and is 11,520 inches^3

Juliet's chest will be 40 by ? by 24 inches, and will be 11,520 inches^2.

We have to find the width of Juliet's chest. To do that, we have to divide the length times height of Juliet's chest by The volume of her chest, or

11,520/(40*24) = 11,520/960 = 12

Her chest is 12 inches wide

Answer:

x = 5

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

2. 153.93804

Step-by-step explanation:

7 squared times pi is 153.93804

Answer:

1 and 3 ; 2 and 4

Step-by-step explanation:

Vertical angles are two angles that have the same vertex. They are congruent

Answer:

1 and 3 are vertical angles

2 and 4 are vertical angles

Step-by-step explanation:

Vertical angles are angles formed by the same lines but are opposite each other

1 and 3 are vertical angles

2 and 4 are vertical angles

Answer:

80

Step-by-step explanation:

ㄥAEC+160=180

ㄥAEC=20

ㄥAEC+x+80=180

20+x+80=180

x=80

There is a more simple method

x+80=160

x=80

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

y = 6/5x -5

6/5 is your slope. Slope is always rise over run or y over x. -5 is the y- intercept. What is y when x is zero.

Answer: The answer to Number 4 is 1!

Step-by-step explanation:

First you solve for the numbers in parentheses. 16 - 7 is 9, and 2 x 4 is 8. Then you solve for the remaining numbers. So 9 - 8 is indeed 1.

Hope this helps! :)

Answer:

The answer to number 2 is 1

Step-by-step explanation:

[tex] \frac{1}{5} \times 5 = \frac{1}{5} \times \frac{5}{1} \\ \\ \frac{5 \times 1}{5 \times 1 } = \frac{5}{5} = \frac{1}{1} = 1[/tex]

Answer:

s=-2

Step-by-step explanation:

-5=s-3

+3 +3

-2=s

Hope this helps! :)

Answer:

-2

Step-by-step explanation: I think of it like regular subtraction, you go backwards by 3 to get -5.

Answer:

The numbers are 8 and 6

Step-by-step explanation:

Let x and y be the two numbers

x+y = 14

x-y = 2

Add the two equations together

x+y = 14

x-y = 2

--------------

2x +0y = 16

Divide by 2

2x/2 = 16/2

x = 8

Now find y

x+y = 14

8+y =14

Subtract 8 from each side

8+y-8 =14-8

y =6

The numbers are 8 and 6

Answer:

8 and 6

Step-by-step explanation:

-1/4

This will remain its absolute value

Answer:

absolute value is the oppistie of the number so if it is positive is will turn negative so i think the answer is C

Answer:

We know the width maybe 22ft and at its widest.

IF we say 3 triangles can be fit into a polygon given 2 sides then we 180 x 3 = 560 degree if its 3 rectangles then if it is easier to make 4 rectangles if square shape we can subtract the smaller measures of the missing rectangle.

With triangles;

The number of triangles is always 2 less than that that of its sides.

= 3 triangles + 2 = 5 sides.

The sum of interior angles

(n-2) x 180 = 540 degree

5-2 x 180

To determine the amount of sides; we remember

(n-2) 180

360 = (n-2) 180

+360 = 180 -360 +180

+360 = 180 = (3 triangles with 180)

900/180 = 5 sides.

If we say 5 triangles created with 3 given lengths

then same rule applies n-2 (180)

=7 sides

= if regular shape largest line 22 x 7 = 154 ft sq = Area.

Answer:

374

Step-by-step explanation:

First do the area of the triangle 7 x 22 = 308 308/2 = 154 22 x 10 = 220 220+154 =374

answer:

(bh) (hb)

explanation: this is because to be able to find the area of the triangle, you need to know at least the length of two sides and these are the formulas that you could use to get the area

Answer:

4. alternate exterior angles

5. 4.5

Answer:

D.11 in

Step-by-step explanation:

isosceles triangles have two congruent sides

The missing side length is congruent with the longer side ( this is pretty obvious )

If the longer side has a length of 11in and the missing side is congruent to the longer side then the missing side length equals 11 in

Answer:

Step-by-step explanation:

angle 13 is supplementary to angle 16 bcoz of the property of linear pair

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

x = 59/3

Step-by-step explanation:

Answer:

1) x= -1/27

2) x=-4

3) x=13

Step-by-step explanation:

1) 7+7/9x= = -42

   14/9x= = -42

  14/9x X 9x= -42 X 9x

    14= -378x

    -378x= 14

   -378x/-378= 14/-378

      x= -1/27

2) 4x+1=−15

 4x+1-1=-15-1

    4x=-16

   4x/4= -16/4

      x=-4

3) −4(x−3)=−40

 -4(x-3)/-4= -40/4

     x-3=10

   x-3+3=10+3

        x=13