Answer:
D
Step-by-step explanation:
Remark
The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.
The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.
So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.
Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.
Proportion
AB / AC = AE/AD
Givens
AB = 10
AC = 18
AE = 8
AD = x + 8
Solution
Substitute the Givens into the Proportion.
10/18 = 8/(x + 8) Cross multiply
10(x + 8) = 8 * 18 Simplify both sides
10x + 80 = 144 Subtract 80 from both sides
10x + 80 - 80 = 144 - 80
10x = 64 Divide by 10
10x/10 = 64/10
Answer: x = 6.4
-16+4n
Just have to simplify
Answer:
41/45
Step by Step Explanation:
Add: 8/
10
+ 1/
9
= 8 · 9/
10 · 9
+ 1 · 10/
9 · 10
= 72/
90
+ 10/
90
= 72 + 10/
90
= 82/
90
= 2 · 41/
2 · 45
= 41/
45
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/
45
.
In other words - eight tenths plus one ninth = forty-one forty-fifths.
<span>Distance is equal to rate times time, and time is the unknown in this instance. To find time, divide distance by rate. In this case, Joe wants to use a rate five miles per hour less than his planned speed of 75 miles per hour, which is 70. Dividing 310 miles by 70 miles per hour yields an expected travel time of 4.4 hours.</span>
1. 500000 cm
2. 16 pints
3. 480 mL
4. 2640 ft
