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nikitadnepr [17]
3 years ago
5

In the figure shown below, if line m is parallel to line n, then find the value of x

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

Step-by-step explanation:

The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.

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What is the distance between the points P(-5, 4), Q(7, -5)
Nikolay [14]

Answer:

15

Step-by-step explanation:

Distance between two points is = √(x2 - x1)² + (y2 - y1)²

x1 = -5, y1 = 4; x2 = 7, y2 = -5

|PQ| = √(7 - (-5))² + (-5 - 4)²

|PQ| = √(7 + 5)² + (-9)²

|PQ| = √(12)² + 81

|PQ| = √144 + 81

|PQ| = √225

|PQ| = 15

4 0
3 years ago
(4 + 32)(15 – 23)<br> can someone help me out with the answer? :,)
hoa [83]

Answer:

-288

Step-by-step explanation: I took the following steps to find the answer:

(4 + 32)(15 – 23)

\             /

 (36)(15 – 23)

           \          /

 (36) (- 8)

   \        /

    -288

4 0
2 years ago
kate has a coin collection she keeps 7 of the coins in a box which is only 5% of her entire collection what is the total number
SCORPION-xisa [38]

Answer:

140

Step-by-step explanation:

so where trying to find the unknown total of coins so where gonna call that x

then we will make an equation 5% * x= 7

then to make it easier to solve we will convert 5% to a decimal   .05

and finally to find the answer we will divide both sides by .05

this gives us x= 140 which is the answer

7 0
3 years ago
A car, purchased for $20,000, loses 14% of its value in the first year. What is the car worth after one year?
OLga [1]
The car is worth 17,200.
20,000x .14=2800
20,000-2,800=17,200.
7 0
3 years ago
The value of a tractor, in dollars, x years from its models year can be predicted by the function
ValentinkaMS [17]
1442.55 is the answer
5 0
3 years ago
Read 2 more answers
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