LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?

Answers

Answer 1
Answer: Length of the midsegment of trapezoid:
LM = ( AB + DC ) / 2
4 x + 3 = ( x + 8 + 187 ) / 2         / * 2   ( we will multiply both sides of the equation by 2 )
8 x + 6 = x + 8 + 187
8 x + 6 = x + 195
8 x - x = 195 - 6
7 x = 189
x = 189 : 7
Answer:
x = 27 


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a jar containing only nickels an dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. What is the number of nickels and dimes in the jar?

Answers

Answer:

31 nickels and 29 dimes

Step-by-step explanation:

To convert centimeters to meters, you must: by what number? multiply divide 10 100 1,000

Answers

divide by 100
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9-6x+x2 el dos va al cuadrado resuelvan lo porfA​

Answers

Answer:

6

Step-by-step explanation:

do 9-6 then

If you wrote 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative? A. 00:00 The exponent would be negative because the original number is greater than one. B. 00:00 The exponent would be positive because the original number is greater than one. C. 00:00 The exponent would be negative because the original number is less than one. D. 00:00 The exponent would be positive because the original number is less than one.

Answers

Answer:

The exponent would be negative because the original number is less than one.

Step-by-step explanation:

The given number is 0.0009763. We can write it as a single digit times a power of ten.

There are 3 zeroes after decimal and then 9 comes. As the original number is less than. It means we can write it as follows :

0.0009763=9.76* 10^(-4)

The exponent is negative here. The correct option is (c) "The exponent would be negative because the original number is less than one"

a boat travels 45 minutes at a speed of 8 mph. then the boat travels 1.5 times faster for 1/3 hr. how many miles do the boat travel in all. need help ASAP!!!

Answers

Answer:

10 miles

Step-by-step explanation:

45/60 x 8 = 6 miles

8 x 1.5 = 4 miles

Now, add the two products together.

6 + 4 = 10 miles.

The boat traveled 10 miles in total.

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.
a. x = 8, y = 17
b. x = 6, y = 8
c. x = 8, y = 10
d. x = 8, y = 6

Answers

The answer is d. 

3x-14 = x-2     solve for x

4y-7 = y+11    solve for y
3x-14=x+2
Add 14 to both sides.
3x=x+16
Subtract x from both sides.
2x=16
Divide by 2.
x=8

4y-7=y+11
Add 7 to both sides.
4y=y+18
Subtract y from both sides.
3y=18
Divide by 3.
y=6

The answer is d.