Answer: The number of times a yellow cube will be drawn is 390 times.
Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.
Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.
78/240 = x/1200
Multiply 78 and 1200, which is 93,600.
Divide that by 93,600, which is 390.
Answer:
Measure of line segment ap = 12 cm
Step-by-step explanation:
Given:
Two line segments (tangents) from a common point (p).
Considering p as a common point.
Measure of length bp = 12 cm
We have to find the measure of length ap.
According to the theorem.
Two-Tangent Theorem:
When two segments are drawn tangent to a circle from the same point outside the circle, the segments are equal in length.
So,
We can say that both the line segments from point p are equal.
Measure of ap = cm
A diagram is also attached with this.
Measure of segment ap = 12 cm
Answer:
x=15
Step-by-step explanation:
The Consecutive Interior Angles Theorem basically states that two interior angles (neither adjacent nor opposite) are supplementary, which means they add up to 180 degrees. That means that ∠2+∠4=180. ∠2=2x+10 and ∠4=4x=80. Using the Substitution Property, we get 2x+10+4x+80=180. Do some fun algebra:
6x+90=180
6x=90
x=15
Remember and know your properties and theorems. They will help you and will make proofs a LOT easier (and a LOT more fun).