All categories

3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

rjkz [21]3 years ago

3 0

Answer: x=11

Step-by-step explanation:

35+5x=90

5x=55

x=11

Jlenok [28]3 years ago

3 0

Answer: The answer is: " x = 11 . "

_____________________________

Step-by-step explanation:

The 2 (two) angles shown form a "right angle" (i.e. "90° angle") ;

that is, the 2 (two) angles are "complementary" (i.e. their measures add up to: " 90° " ,

_____________________

So, add up the 2 (two) given angles, set the sum equal to 90 ; and solve for "x" ; as follows:

_____________________

Note: One of the given angles measures: "5x" ;

The other given angle measures: "35" ;

_____________________

5x + 35 = 90 ;

____________________

Subtract "35" from Each side of the equation:

____________________

5x + 35 - 35 = 90 - 35 ;

to get:

5x = 55 ;

Now, divide Each Side of the equation by: "5" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

______________________

5x / 5 = 55 / 5 ;

______________________

to get : " x = 11 " .

______________________

Hope this answer—and explanation—are helpful to you!

Best wishes!

______________________

You might be interested in

Ms. Wall will roll two number cubes. What is

bonufazy [111]

Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.

For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.

Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18

8 0

2 years ago

You work on the 60th floor of 100 story building. You walk into your office and find a bomb sitting on your desk. It reads 90 se

lys-0071 [83]

Depends how strong the bomb is. If the bomb is weak then you would most likely go up 20-30 floors. If the bomb is in the middle go to the stair case and prepare for impact. If the bomb is strong go down 40 floors if possible. If none of this is possible to do and you don't know what to do about it then you must do the following:

Cut all of the wires in the bomb. Get the bomb near of a wall or a window. If it is a window then throw the bomb out of the window. If it is a wall put it as close to the wall as possible gather all your coworkers and run off of the floor.

Hope this helps!

5 0

3 years ago

Read 2 more answers

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to