Answer:
10
Step-by-step explanation:
2(6+1) - |-10| + 3*2
= 2 (7) - (+10) + 6
= 14 - 10 + 6
= 20 - 10
= 10
Answer:
There is enough evidence to prove they are congruent. AAS would be what's used in this case.
Step-by-step explanation:
(< = angle)
<B = <Z, <A = <Y, line AC and line XY are equal.
Edit: So it appears that each of the photos are congruent. They have enough labels on them to tell you that their last unidentified angle would have to be congruent as well, meaning that each picture is congruent.
Answer:
2nd option
Step-by-step explanation:
given
BD = 4x
CE = 2x + 2
test each answer option by substituting the given values of x into each of the above equations and see if it is consistent with the given values for BD and CD in the answer options.
1st option, when x = 5,
BD = 4x = 4(5) = 20 (Consistent)
CE = 2x + 2 = 2(5) + 2 = 10 + 2 = 12 ( not consistent with CE=8)
2nd option, when x = 3/7,
BD = 4x = 4(3/7) = 12/7 (Consistent)
CE = 2x + 2 = 2(3/7) + 2 = 6/7 + 2 = 20/7 ( consistent with CE=20/7) (ANSWER)
3rd option, when x = 3,
BD = 4x = 4(3) = 12 (Consistent)
CE = 2x + 2 = 2(3) + 2 = 6 + 2 = 8 ( not consistent with CE=20)
Suppose the English could drill the Channel in 6.2 years, then they drill with speed km per year, where L is the length of the English Channel. If the French could drill in 5.8 years, then their speed of drillling is km per year.
Together their speed will be
.
If they drill together, they will spend
years.
Answer: it would have taken nearly 3 years.
Answer:
Step-by-step explanation:
When a tangent line is drawn from Q to Z and then from Q to R, what happens that is the length of QZ and QR are the same. So if QZ = 10, the QR = 10. The same occurs at every point outside the circle where a tangent line is drawn from that point to the circle. We are told that YX is 9. That means that YZ is also 9. If XW is 9, then WV is also 9. Here's where the tricky part is. We are given the whole side length of UW as 17, but we need to know each individual part so we can eventually find the length of RS. So we'll keep going the way we were. If XW = 9, the WV = 9. That means that UV is 17 - 9 or 8. So UV = 8. That means that TU is also 8. THAT means that ST is 10 - 8 or 2. And if ST is 2, then RS is also 2. Let's add it all together now:
QZ + ZY + YX + XW + WV + VU + UT + TS + SR + RQ
10 + 9 + 9 + 9 + 9 + 8 + 8 + 2 + 2 + 10 = 76