Answer:
459
Step-by-step explanation:
First line:
clock showing 9 o'clock + clock showing 9 o'clock + clock showing 3 o'clock = 9 + 9 + 3 = 21
Second line:
The calculators look exactly the same.
3 * calculators = 30
1 calculator = 10
Third line:
1 bulb + 1 bulb - 1 bulb = 15
Since 1 bulb - 1 bulb = 0, we have 1 bulb + 0 = 15, or
1 bulb = 15
Last line:
Clock showing 9 o'clock = 9
Calculator = 10
3 bulbs = 3 * 15 = 45
Total = 9 + 10 * 45 = 9 + 450 = 459
If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to
.
Remember that an equation
represents a line with slope
and y-intercept
. Since both equations given have a slope of -2, but have different y-intercepts, they are
parallel.
Answer: A. 
.
Step-by-step explanation:
The given inequation: 
Multiplying 5 on both the sides, we get
Hence, the inequality for x is .
So, the correct option is A. ..
Answer: the number is 20, as the denominator 9 multiplied by 4 is 36. simply multiply the numerator by 4.
Answer:
Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.
Step-by-step explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.
Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.
Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.
Thus, m<CBD = 55°, which is ½ of m<arc CD.
m<arc CD = 110° = m<CAD.
m<CBD = ½ of m<CAD = 55°.
The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."
