Answer: ∠ECB = 60°
Step-by-step explanation:
First, find the value of <em>x </em>by adding them up.
x + 3x + 2x = 6x
Since we know that all of the angles create a 180° angle, we can set up a proportion.
6x = 180°
To find the value of x, divide both sides by 6.
6x ÷ 6 = x
180 ÷ 6 = 30
So now the proportion is x = 30.
Now that we now x = 30, we can plug in 30 to the angle measures.
∠DCA = 30°
∠DCE = 90°
∠ECB = 60°
So angle ECB is 60°.
hope this helps!
Answer:
<em>The width is 4 cm</em>
<em>The length is 12 cm.</em>
Step-by-step explanation:
<u>Area of a rectangle</u>
Given a rectangle of width W and length L, its area is calculated as follows:

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:


Simplifying:

Solving:


The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
Answer:
Lines that have a slope of -3
Step-by-step explanation:
Take the negative reciprocal of 1/3 and all lines that have that as the slope are perpendicular
Because there are 18 socks, 18 is the denominator, and there are 3 blue so blues the numerator. So the chance of getting a blue sock is 3/18 chance. I hope this helps.
Answer: 40%
Step-by-step explanation: I took the test