Answer:
The first one should belong in the 54x+18 due to multiplication
The second answer choice has distributive property which has to belong in the 54x+18 category
The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.
The last one should be in the 54x+18 category because of the distributive property
Step-by-step explanation:
The Objectives: 54x+18 and (6(9x) + 6
The first one should belong in the 54x+18 due to multiplication
The second answer choice has distributive property which has to belong in the 54x+18 category
The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.
The last one should be in the 54x+18 category because of the distributive property
Answer:
D. 180 ÷ 3 = m
Step-by-step explanation:
The sum of the angles in a triangle adds up to 180°.
Since equilateral triangles have 3 equal angles,
sum of the angles in the triangle= 3m
3m=180°
m= 180° ÷3
m=60°
Thus, 180÷3=m
Answer:-13
Step-by-step explanation:
Answer: Can you take a more clear picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
The length of an arc with measure and radius is given by . From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by subtracted from 360. The measure of the arc formed by consists of two congruent angles, and . To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
We have:
Therefore,
The measure of the central angle of must then be
Thus, the length of is equal to:
(three significant figures as requested by question).