Answer:
E. FD<DE<EF
Step-by-step explanation:
First I needed to find the other angle which I found by adding the two angles that were given.
103 +14 =117
180 - 117= 63
then to find which sides were the longest I looked and the angles and found their corresponding sides.
<D went with side FE
<F went with side DE
<E went with side FD
The smallest angle was <E therefore the smallest side was FD
The middle angle was <F therefore the medium side was DE
The largest angle was <D therefore the smallest side was FE
I hope this helps!!
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Answer:
53
Step-by-step explanation:
To evaluate 6x + 11, we must substitute the value of x.
Since we know that x = 7, it is easier to evaluate the expression;
6x + 11
6(7) + 11
Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;
6(7) + 11
42 + 11
When you add the two numbers you get:
53
Answer:
567 square yards
Step-by-step explanation:
The Area for 1 Triangular playground = 1/2 × Base × Height
The base of the triangle is 18 yards. The height of the triangle is 21 yards.
Hence:
= 1/2 × 18 yards × 21 yards
= 189 square yards
The area of the Triangular 3 playground is given as:
= 3 × 189 square yards
= 567 square yards
<h3>
Answer: 161 degrees</h3>
=========================================================
Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
- arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
- arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees
Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
2.8 because 14/5 equals 2 80/100.
