(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°
Answer:
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Step-by-step explanation:
huh
Answer:
Step-by-step explanation:
The circumference of a circle with radius 
is given by 
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle 
is equal to 
.
Formulas at a glance:
- Circumference of a circle with radius :
- Length of an arc with central angle :
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting 
into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
To find an area of a parallelogram is by multiplying the b and h to get 1095.2
