Answer:
x = 6
Step-by-step explanation:
because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other
Knowing the angles are equal to each other you can make the equation
2x + 29 = 9x - 13
then you solve for x in this equation
2x + 29 = 9x - 13
(subtract 2x from both sides)
29 = 7x - 13
(add 13 to both sides)
42 = 7x
(divide by 7 on both sides)
6 = x
x = 6
13 + 21 = 13- -21
The minus sign and negative cancel each other out.
Answer:
$(x - 1425)/3
Step-by-step explanation:
Let total monthly budget be x
Amount spent on mortgage = $1425
Remaining balance after spending on mortgage = x - $1425
Amount spent on recreational activities = one-third of the balance
Expressing amount spent on recreational activities as an equation will give;
Amount spent on recreational activities = 1/3 of x - $1425
= 1/3 × ( x - $1425)
= ( x - $1425)/3
Hence the required equation is;
R = $(x - 1425)/3
R means recreational activities
Answer:
Step-by-step explanation:
<u>Given information</u>
<u>Derived expression from the given information</u>
<em>Presumably, I think this is a combination of segments</em>
<u>Substitute values into the given expression</u>
<u>Combine like terms</u>
<em>The following is the expression</em>
<u>Subtract 3 on both sides</u>
<u>Subtract x on both sides</u>
<u>Substitute the x value into corresponding expressions to determine the final value</u>
Hope this helps!! :)
Please let me know if you have any questions
The vlaue of z is 27°
Step-by-step explanation:
Given,
The angle is 63°
To find the value of z
We know that the diagonals of rhombus perpendicularly bisect each other.
Again,
z+63°+90° = 180° [ sum of all the triangle is 180°]
or, z = 27°
