Answer:
7.5 meters
Step-by-step explanation:
As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.
In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is
51 m = 2(18m + side opposite)
15 m = 2 × (side opposite)
7.5 m = side opposite
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<em>Comment on side lengths</em>
In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, <em>opposite</em> sides are <em>always</em> different lengths.
Sara's bank account has a debt of $25. Sofia's bank account has a balance of $7. Who has more money in their bank account? Write an inequality explaining the answer.
ANSWER:
We know that angle fromed by same arc are congruent. so
∠ACB ~ ∠ADB
∠CAD ~ ∠CBD
Therefore, ΔCAF ~ ΔDBF by AA similarity. So, By CPCT
arcAC = arcBD.
Answer:
250 degrees
Step-by-step explanation:
The arc intercepted by the angle formed by a secant and a tangent is twice the measure of the angle. See the attached image. The intercepted arc measures 110 degrees.
x is the measure of the rest of the circle, so it is 360 - 110 = 250 degrees.
Get the slope:
( 10-(-2) )/( 3 - (-1) ) = 3
Let's use letters to represent the ?'s.
y + k = m(x + 1)
Examine the equation:
Notice that if x were to equal -1, the equation would be equal to 0.
m(-1 + 1) = m(0) = 0
If x were to be -1, then y would have to be -2 since that is one of the points provided in the problem.
So now we have:
-2 + k = 0
Solve for k:
k = 2
So I know that 2 is the only number that will work for k.
Our new equation is y + 2 = m(x + 1)
Recall point slope form:
y - y1 = m(x - x1)
Our equation is in the same form as point slope form, so we know that m in our equation represents the slope.
We found the slope at the beginning, it was 3. So plug it in:
y + 2 = 3(x + 1)
Let's test our answer by plugging in a point. Let's try (3, 10):
10 + 2 = 3(3 + 1)
12 = 12
So our answer is correct:
y + 2 = 3(x + 1) is the answer.
