Solve for a in the diagram below.

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

Step-by-step explanation:

Angles form a right angle, hence they add up to 90

x + 2x + x + 10 = 90

4x + 10 = 90

4x = 80

x = 20

Tresset [83]3 years ago

7 0

Answer:

Step-by-step explanation:

We can tell from the little square in the corner that this is a 90 degree angle, so all three of the expressions of x should add up to 90:

x + 2x + (x + 10) = 90

Combine like terms:

4x + 10 = 90

4x = 80

Divide by 4:

x = 80/4 = 20

The answer is 20.

Hope this helps!

You might be interested in

If D is the midpoint of CE, CD= 9x-7, and DE= 3x+17, find CE

tatuchka [14]

Hello!

Since D is the midpoint and the two equations are and both sides of point D the equations equal each other

9x - 7 = 3x + 17

Now you solve it algebraically

Add 7 to both sides

9x = 3x + 24

Subtract 3x from both sides

6x = 24

Divide both sides by 6

x = 4

Now we put this into both equations and add them

9(4) - 7 = 29
3(4) + 17 = 29

29 + 29 = 58

The answer is 58 units

Hope this helps!

3 0

3 years ago

Find a 12% tip on a check for $40.

pickupchik [31]

Answer:

Step-by-step explanation:

40(12/100)

480/100

$4.80

3 0

3 years ago

Read 2 more answers