Set side lengths equal to each other and solve for x. All sides are equal lengths in a square.
6x - 1 = 4x + 6
2x = 7
X = 3.5
Plug in x in one of the equations
4 x 3.5 + 6 = 20
Each side is 20 cm
Answer:
G
Step-by-step explanation:
Some points to note
- "is" means equal
- "times" means multiplication
- "quotient" means division
- "sum" is addition
Now, let's look at the left side of the equation.
It is "x + 5"
This means the sum of the number x and 5, or the number x plus 5
It eliminates F and J
Now, let's look at right side of equation.
It is "2(7+x)"
"7+x" is in brackets, so this is the sum of 7 and x. Then it is multiplied by 2. Thus, we can say:
"2 times the sum of 7 and x"
From the choices G and H left, we select G to be correct.
Answer:
Step-by-step explanation:
x + (x+30) + (2x) = 180
4x = 150
x = 37.5°
x+30 = 67.5°
2x = 75°
Answer:
29 m
Step-by-step explanation:
The dashes mean that the lines are equal in length, so from this we can determine that the area marked 441 m² is a square.
Area of a square = x², where x is the length of 1 side.
Therefore, x = √441 = 21 m
Now we have a right-angled triangle with two legs of 20 m and 21 m. We need to find the hypotenuse (labelled ?). To do this, use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse.
Therefore,
20² + 21² = c²
⇒ 400 + 441 = c²
⇒ 841 = c²
⇒ c = √841
⇒ c = 29
So the side marked ? on the diagram is 29
