Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
- DC=DE
- DF is a common side
So, the two triangles are congruent. It follows that CF=FE, and in particular
And since x=3, the length of EF is
13. Find the measure of ZABC. Show your work.
1 answer:
Answer:
47°
Step-by-step explanation:
In the picture attached, the problem is shown.
When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:
∠ABC = 1/2*(arc DE - arc AC)
Replacing with data from the picture:
∠ABC = 1/2*(142° - 48°)
∠ABC = 47°
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Step-by-step explanation:
We know that for principal amount P , time period T and rate of interest , simple interest is given by
.
Here ,
To find : simple interest rate i.e.,
On putting values of in formula , we get
Now we need to round off the answer to the nearest tenth .
So, simple interest rate is % = =