Answer:
26. t<-70 see description below.
Step-by-step explanation:
To solve an inequality in one variable, solve using inverse operations like any other equations. However, if dividing or multiplying by a negative at any points, flip the sign of the inequality.
Example:
-7 was multiplied to as an inverse operation to division by -7. Because it was negative, the inequality sign was flipped. To graph, plot -70 on the number line with an open circle. Then draw an arrow from -70 to the left.
Answer:
∠A and ∠C are vertical and equal in measure
∠C is adjacent to the angle that is 27°
∠C and ∠B are supplementary
∠A and ∠B are supplementary AND adjacent
All of them are correct
Step-by-step explanation:
<u><em>This is just how to find the angles.</em></u>
"When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex." - MathPlanet
The 27° and the 90° angles added up equal ∠B
∠B = 117°
360°-117°-117°=∠A & ∠C
∠A + ∠C = 126°
∠A=∠C=63°
Answer:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
<span>The rocket that will reach a greater distance above the ground at its maximum height is y = -4x</span>² + 80x. The answer is letter B. This is because of the coefficient presented in the x² term. The number -4 is much greater than -6. Graphing these equations into a graphing paper or excel, you would get a parabola.
This is like the equivalent to a jar with 4 green balls and 6 white balls, where you are picking 3. (The 4 green balls signify the friends from kindergarten.)
You want to solve the probability that the first two balls are green and the third is white.
First draw --> 4 green out of 10 balls --> 4/10 = 2/5
Second draw --> 3 green out of 9 balls --> 3/9 = 1/3
Third draw --> 6 white out of 8 balls --> 6/8 = 3/4
2/5 x 1/3 x 3/4
= 6/60
= 1/10
so the answer is 1/10 (or 10%)
