Answers:
- Problem 1) 40 degrees
- Problem 2) 84 degrees
- Problem 3) 110 degrees
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Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
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For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
Answer:
12 inches
Step-by-step explanation:
Given
Required
Determine the height of the canvas
The question is illustrated using the attached image.
Using the attachment as a point of reference, the height is calculated from
This gives:
Make h the subject
The correct answer is false the order should be
Step 1
Step 3
Step 5
Step 2
Step 6
Step 4
Step 7
Multiply both sides by 2 to clear the fraction.
-3x + 6 <= 24
subtract 6 from both sides.
-3 x <= 18
divide both sides by -3, since you're dividing an inequality by a negative number you have to change the direction of the inequality sign.
x >= -6
I think It's a>-3, maybe.
